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Автор: Grafiati
Опубліковано: 25 травня 2022

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1

Yoshimura, Jun-ichi. "Theoretical study of the properties of X-ray diffraction moiré fringes. III. Theoretical simulation of previous experimental moiré images." Acta Crystallographica Section A Foundations and Advances 76, no. 4 (June 30, 2020): 503–20. http://dx.doi.org/10.1107/s205327332000532x.

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As a practical confirmation of a recently published X-ray moiré-fringe theory [Yoshimura (2015). Acta Cryst. A71, 368–381], computer simulations using this theory were conducted for previous experimental moiré images of a strained bicrystal specimen [Yoshimura (1996). Acta Cryst. A52, 312–325]. Simulated moiré images with a good or fairly good likeness are presented as a result of this simulation, in which the characteristic fringe-and-band and local strain patterns in the experimental images are reproduced well. Experimental moiré images taken when the inclination of the lattice planes was forcedly increased in one of the component crystals of the bicrystal specimen were also fairly well simulated in this computation, and their fringe patterns of inclined fringes are shown to be in accordance with the prediction by the theory. This moiré-fringe theory is thus considered to be widely applicable to the study of moiré images. Furthermore, the successful simulation of the previous experimental moiré images means that a satisfactory theoretical explanation was given for the experimental images, with respect to their characteristic global features. However, this study by the theoretical simulation shows explicitly that some significant peculiarities in the fringe profiles of the experimental images still remain unexplained by this moiré-fringe theory.
2

Yoshimura, Jun-ichi. "Theoretical study of the properties of X-ray diffraction moiré fringes. I." Acta Crystallographica Section A Foundations and Advances 71, no. 4 (May 14, 2015): 368–81. http://dx.doi.org/10.1107/s2053273315004970.

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A detailed and comprehensive theoretical description of X-ray diffraction moiré fringes for a bicrystal specimen is given on the basis of a calculation by plane-wave dynamical diffraction theory. Firstly, prior to discussing the main subject of the paper, a previous article [Yoshimura (1997).Acta Cryst.A53, 810–812] on the two-dimensionality of diffraction moiré patterns is restated on a thorough calculation of the moiré interference phase. Then, the properties of moiré fringes derived from the above theory are explained for the case of a plane-wave diffraction image, where the significant effect ofPendellösungintensity oscillation on the moiré pattern when the crystal is strained is described in detail with theoretically simulated moiré images. Although such plane-wave moiré images are not widely observed in a nearly pure form, knowledge of their properties is essential for the understanding of diffraction moiré fringes in general.
3

Ma, X. S., Ye Tai Fei, G. H. Li, Z. Y. Ying, and S. Y. Li. "Theory Study of Nanometer Metrological Grating Based Two Times Moiré Fringe." Key Engineering Materials 381-382 (June 2008): 501–4. http://dx.doi.org/10.4028/www.scientific.net/kem.381-382.501.

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To meet the demand of large displacement measurement instrument with nanometer precision, this paper introduces the metrological grating with the nanometer measurement precision and large displacement, based on two times' Moiré fringe principle. Its basic principle is that two indicated gratings are fixed on the same measuring base scale, when they move relatively to the scale grating, two groups of one time Moiré fringe will be produced, then two groups of lens are adopted to make the fringe move oppositely, at last the two times Moiré fringe will be produced through interference on the photoelectronic receive element. By subdivision of the two times Moiré fringe, this system can achieve 2.70×10-10m measurement resolution. In addition, this paper also analyse the optics system and light source.
4

Yao, Li Li, Hai Bo Shi, Chang Liu, and Zhong Hua Han. "Solving the Two-Objective Shop Scheduling Problem in MTO Manufacturing Systems by a Novel Genetic Algorithm." Advanced Materials Research 314-316 (August 2011): 1315–20. http://dx.doi.org/10.4028/www.scientific.net/amr.314-316.1315.

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With the characteristics of un-touching, high-automatic and high-speed, we measured 3D shape by digital moiré patterns. And it can measure 3D shape without compensator, auxiliary mirror, hologram and other assistant modules. So it is widely used in measurement of 3D shape. But with the negative effect of grating area and CCD resolution of the camera, it has some problems in large aperture, steep aspheric surface, even off-axis aspheric testing. Focus on these problems; this paper established a sub-region splicing measurement of aspheric surface by using the combination of digital moire patterns and digital phase shifting technology. This paper also illustrated the basic theory, and the mathematical implementation procedure. In all, sub-region splicing digital moiré patterns can be considered as another method, which beyond compensation tests to measurement of aspheric surface.
5

Deason, V. A., J. S. Epstein, and M. Abdallah. "Dynamic diffraction moiré: Theory and applications." Optics and Lasers in Engineering 12, no. 2-3 (January 1990): 173–87. http://dx.doi.org/10.1016/0143-8166(90)90015-2.

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6

Ohler, Michael, and Jürgen Härtwig. "Theory of moiré fringes on X-ray diffraction topographs of bicrystals." Acta Crystallographica Section A Foundations of Crystallography 55, no. 3 (May 1, 1999): 413–22. http://dx.doi.org/10.1107/s0108767398010514.

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Анотація:
The theory of moiré fringes on X-ray diffraction topographs of bicrystals is derived from the dynamical theory of X-ray diffraction for the reflection (Bragg) and the transmission (Laue) case. The influence on the moiré fringes of the diffraction geometry, of the geometry of the sample, of its optical properties and of the topographic method is investigated. The perfect-crystal theory is also expanded to weakly deformed bicrystals.
7

Amidror, Isaac. "Sub-Nyquist artefacts and sampling moiré effects." Royal Society Open Science 2, no. 3 (March 2015): 140550. http://dx.doi.org/10.1098/rsos.140550.

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Sampling moiré effects are well known in signal processing. They occur when a continuous periodic signal g ( x ) is sampled using a sampling frequency f s that does not respect the Nyquist condition, and the signal-frequency f folds over and gives a new, false low frequency in the sampled signal. However, some visible beating artefacts may also occur in the sampled signal when g ( x ) is sampled using a sampling frequency f s which fully respects the Nyquist condition. We call these phenomena sub-Nyquist artefacts . Although these beating effects have already been reported in the literature, their detailed mathematical behaviour is not widely known. In this paper, we study the behaviour of these phenomena and compare it with analogous results from the moiré theory. We show that both sampling moirés and sub-Nyquist artefacts obey the same basic mathematical rules, in spite of the differences between them. This leads us to a unified approach that explains all of these phenomena and puts them under the same roof. In particular, it turns out that all of these phenomena occur when the signal-frequency f and the sampling frequency f s satisfy f ≈( m / n ) f s with integer m , n , where m / n is a reduced integer ratio; cases with n =1 correspond to true sampling moiré effects.
8

Kang, Y.-L., D.-H. Fu, G.-F. Wang, S.-W. Yu, and X.-J. Pan. "Analysis of displacement and strain field around a bimaterial interfacial region by stress couple theory and experiment." Journal of Strain Analysis for Engineering Design 37, no. 4 (May 1, 2002): 281–87. http://dx.doi.org/10.1243/030932402760074508.

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Анотація:
This paper is concerned with the determination of displacement and strain fields within the interfacial region of a bimaterial specimen under shear loading. The analysis is based on the couple stress theory. The measurements are made by means of phase shift moiré interferometry which has been recognized as a useful measuring method by combining moiré interferometry with the phase shift technique and image processing. The results obtained by phase shift moiré interferometry show that the distribution of the shear strain, rotation angle and rotation gradient at the interface region are changing rapidly. The results show good agreement with those predicted by stress couple theory.
9

Gao, Yuechen, Shuqian Ye, Haoxiang Lin, and Xi Zhu. "Toward Programmable Moiré Computation: Toward Programmable Moiré Computation (Adv. Theory Simul. 7/2021)." Advanced Theory and Simulations 4, no. 7 (July 2021): 2170014. http://dx.doi.org/10.1002/adts.202170014.

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10

Yoshimura, Jun-ichi. "Theoretical study of the properties of X-ray diffraction moiré fringes. II. Illustration of angularly integrated moiré images." Acta Crystallographica Section A Foundations and Advances 75, no. 4 (June 26, 2019): 610–23. http://dx.doi.org/10.1107/s2053273319004601.

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Using a theory of X-ray diffraction moiré fringes developed in a previous paper, labelled Part I [Yoshimura (2015). Acta Cryst. A71, 368–381], the X-ray moiré images of a silicon bicrystal having a weak curvature strain and an interspacing gap, assumed to be integrated for an incident-wave angular width, are simulation-computed over a wide range of crystal thicknesses and incident-wave angular width, likely under practical experimental conditions. Along with the simulated moiré images, the graphs of characteristic quantities on the moiré images are presented for a full understanding of them. The treated moiré images are all of rotation moiré. Mo Kα1 radiation and the 220 reflection were assumed in the simulation. The results of this simulation show that fringe patterns, which are significantly modified from simple straight fringes of rotation moiré, appear in some ranges of crystal thicknesses and incident-wave angular width, due to a combined effect of Pendellösung oscillation and an added phase difference from the interspacing gap, under the presence of a curvature strain. The moiré fringes which slope to the perpendicular direction to the diffraction vector in spite of the assumed condition of rotation moiré, and fringe patterns where low-contrast bands are produced with a sharp bend of fringes arising along the bands are examples of the modified fringe pattern. This simulation study provides a wide theoretical survey of the type of bicrystal moiré image produced under a particular condition.
11

Morimoto, Yoshiharu, Motoharu Fujigaki, Akihiro Masaya, Hiroyuki Kondo, and Tatsuya Inuzuka. "Accurate Displacement Measurement for Landslide Prediction by Sampling Moiré Method." Advanced Materials Research 79-82 (August 2009): 1731–34. http://dx.doi.org/10.4028/www.scientific.net/amr.79-82.1731.

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Sampling moiré method is useful to measure shape, displacement and strain distributions of multi-functional materials and structures. When a specimen grating pattern on an object is recorded by a digital camera, a moiré fringe pattern is obtained by sampling the digitized grating image with a constant pixel pitch. The method can analyze phase values from one image of a grating pattern. By using this sampling moiré method, the displacement measurement of land is analyzed to develop a landslide prediction system. The theory and the application for measuring the displacement of land are shown in this paper.
12

Sciammarella, Cesar A. "General model for moiré contouring, part 1: theory." Optical Engineering 47, no. 3 (March 1, 2008): 033605. http://dx.doi.org/10.1117/1.2899039.

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13

Song, Yang, Yun Yun Chen, Anzhi He, and Zhimin Zhao. "Theoretical analysis for moiré deflectometry from diffraction theory." Journal of the Optical Society of America A 26, no. 4 (March 19, 2009): 882. http://dx.doi.org/10.1364/josaa.26.000882.

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14

Kabengele, Tilas, and Erin R. Johnson. "Theoretical modeling of structural superlubricity in rotated bilayer graphene, hexagonal boron nitride, molybdenum disulfide, and blue phosphorene." Nanoscale 13, no. 34 (2021): 14399–407. http://dx.doi.org/10.1039/d1nr03001a.

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15

Poon, C. Y., M. Kujawinska, and C. Ruiz. "Spatial-carrier phase shifting method of fringe analysis for moiré interferometry." Journal of Strain Analysis for Engineering Design 28, no. 2 (April 1, 1993): 79–88. http://dx.doi.org/10.1243/03093247v282079.

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Анотація:
The theory of an automated fringe pattern analysis using the spatial-carrier phase shifting method for moiré interferometry is presented. The automated method is shown to provide a fast and accurate strain measurement over the whole field. Measurements on a brass specimen and a tapered laminated composite specimen are shown to highlight the efficiency and the capability of this technique for moiré interferometry. The filtering technique used to remove noise from the required displacement function is also presented.
16

Angeli, Mattia, та Allan H. MacDonald. "Γ valley transition metal dichalcogenide moiré bands". Proceedings of the National Academy of Sciences 118, № 10 (3 березня 2021): e2021826118. http://dx.doi.org/10.1073/pnas.2021826118.

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The valence band maxima of most group VI transition metal dichalcogenide thin films remain at the Γ point all of the way from bulk to bilayer. In this paper, we develop a continuum theory of the moiré minibands that are formed in the valence bands of Γ-valley homobilayers by a small relative twist. Our effective theory is benchmarked against large-scale ab initio electronic structure calculations that account for lattice relaxation. As a consequence of an emergent D6 symmetry, we find that low-energy Γ-valley moiré holes differ qualitatively from their K-valley counterparts addressed previously; in energetic order, the first three bands realize 1) a single-orbital model on a honeycomb lattice, 2) a two-orbital model on a honeycomb lattice, and 3) a single-orbital model on a kagome lattice.
17

Hejazi, Kasra, Zhu-Xi Luo, and Leon Balents. "Noncollinear phases in moiré magnets." Proceedings of the National Academy of Sciences 117, no. 20 (May 4, 2020): 10721–26. http://dx.doi.org/10.1073/pnas.2000347117.

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We introduce a general framework to study moiré structures of two-dimensional Van der Waals magnets using continuum field theory. The formalism eliminates quasiperiodicity and allows a full understanding of magnetic structures and their excitations. In particular, we analyze in detail twisted bilayers of Néel antiferromagnets on the honeycomb lattice. A rich phase diagram with noncollinear twisted phases is obtained, and spin waves are further calculated. Direct extensions to zigzag antiferromagnets and ferromagnets are also presented. We anticipate the results and formalism demonstrated to lead to a broad range of applications to both fundamental research and experiments.
18

Bar-Ziv, Ezra. "Effect of diffraction on the moiré image I Theory." Journal of the Optical Society of America A 2, no. 3 (March 1, 1985): 371. http://dx.doi.org/10.1364/josaa.2.000371.

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19

Harthong, J., and H. Sahli. "Theory of moiré sensing by means of contour functions." Applied Optics 31, no. 10 (April 1, 1992): 1436. http://dx.doi.org/10.1364/ao.31.001436.

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20

Dai, Fu-long, James McKelvie, and Daniel Post. "An interpretation of Moiré interferometry from wavefront interference theory." Optics and Lasers in Engineering 12, no. 2-3 (January 1990): 101–18. http://dx.doi.org/10.1016/0143-8166(90)90011-w.

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21

Pochet, Pascal, Brian C. McGuigan, Johann Coraux, and Harley T. Johnson. "Toward Moiré engineering in 2D materials via dislocation theory." Applied Materials Today 9 (December 2017): 240–50. http://dx.doi.org/10.1016/j.apmt.2017.07.007.

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22

Konevtsova, Olga V., Daria S. Roshal, and Sergei B. Rochal. "Moiré patterns and carbon nanotube sorting." Nano Futures 6, no. 1 (February 28, 2022): 015005. http://dx.doi.org/10.1088/2399-1984/ac4a27.

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Abstract Moiré patterns (MPs), arising from the superposition of two lattices with close periods, are tightly related to the physicochemical properties of bilayer nanostructures. Here, we develop the theory of complex MPs emerging in twisted bilayer graphene and planar nets of double-walled nanotubes at significant relative twist and/or deformation of layers. The proposed theory clarifies the physicochemical regularities arising at sorting of single-walled carbon nanotubes (SWCNTs) by organic molecules, which self-assemble in regular coatings on both the tubes and planar graphene. We introduce and consider an outer tubular virtual lattice that is a parent structure for the deposited coating and due to this fact, its existence is crucial for the coating formation. As we show, such outer lattices exist only for successfully sorted SWCNTs and the superposition between the outer lattice and SWCNT forms a specific long-period MP. We explain known experimental results of SWCNT sorting by molecules of flavin group, poly(9,9-dioctylfluorene-2,7-diyl), and poly [(m-phenylenevinylene)-alt-(p-phenylenevinylene)]. Also, our approach points out other organic molecules and polymers suitable for effective carbon nanotube sorting.
23

HAAS, WINFRIED. "Application of Moiré Topography to small objects in palaeontology and sedimentology." Geological Magazine 135, no. 1 (January 1998): 93–99. http://dx.doi.org/10.1017/s0016756897008133.

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For contouring the relief of small palaeontological or sedimentological objects the method of Shadow Moiré Topography, already successfully applied in other fields, is recommended. When a whitened three-dimensional object is seen or photographed through a grating and the illumining light bundle passes through the same grating, equidistant planes of shadow can be produced. The latter generate contour lines on the object where they intersect its surface. The theory of Shadow Moiré Topography is explained by the principles of geometric optics. A simple and cost effective apparatus is proposed and examples of contoured objects are figured.
24

Luo, Fang Liang, Li Qian An, Ling Tao Mao, Jian Cheng Xu, Lei Li, and Yan Jiang. "The Roadway Surrounding Rock Delaminating Displacement Monitoring Technology Based on Moiré Technique." Applied Mechanics and Materials 58-60 (June 2011): 2101–4. http://dx.doi.org/10.4028/www.scientific.net/amm.58-60.2101.

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With the coalface excavates, surrounding rock of roadway will occur deformation in different degrees. When the rock deformation exceeds a certain limit, roof fall and spalling would occur. To prevent such accidents, it is very important to monitor deformation of the surrounding rock in real-time. In this paper, Moiré measurement theory is elaborated. The displacement device (GWG200(C)), based on moiré technique, are applied in ventilation tunnel of 1015 working face in Xing Ge Zhang Mine to monitor deformation. The real time datum of deformation are obtained. The system provides technique safeguard for safety production.
25

Kim, Kyounghwan, Ashley DaSilva, Shengqiang Huang, Babak Fallahazad, Stefano Larentis, Takashi Taniguchi, Kenji Watanabe, Brian J. LeRoy, Allan H. MacDonald, and Emanuel Tutuc. "Tunable moiré bands and strong correlations in small-twist-angle bilayer graphene." Proceedings of the National Academy of Sciences 114, no. 13 (March 14, 2017): 3364–69. http://dx.doi.org/10.1073/pnas.1620140114.

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According to electronic structure theory, bilayer graphene is expected to have anomalous electronic properties when it has long-period moiré patterns produced by small misalignments between its individual layer honeycomb lattices. We have realized bilayer graphene moiré crystals with accurately controlled twist angles smaller than 1° and studied their properties using scanning probe microscopy and electron transport. We observe conductivity minima at charge neutrality, satellite gaps that appear at anomalous carrier densities for twist angles smaller than 1°, and tunneling densities-of-states that are strongly dependent on carrier density. These features are robust up to large transverse electric fields. In perpendicular magnetic fields, we observe the emergence of a Hofstadter butterfly in the energy spectrum, with fourfold degenerate Landau levels, and broken symmetry quantum Hall states at filling factors ±1, 2, 3. These observations demonstrate that at small twist angles, the electronic properties of bilayer graphene moiré crystals are strongly altered by electron–electron interactions.
26

Chen, Bicheng, and Cemal Basaran. "Far-field modeling of Moiré interferometry using scalar diffraction theory." Optics and Lasers in Engineering 50, no. 8 (August 2012): 1168–76. http://dx.doi.org/10.1016/j.optlaseng.2011.08.007.

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27

Annevelink, Emil, Zhu-Jun Wang, Guocai Dong, Harley T. Johnson, and Pascal Pochet. "A moiré theory for probing grain boundary structure in graphene." Acta Materialia 217 (September 2021): 117156. http://dx.doi.org/10.1016/j.actamat.2021.117156.

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28

Shield, T. W., and K. S. Kim. "Diffraction theory of optical interference moiré and a device for production of variable virtual reference gratings: A moiré microscope." Experimental Mechanics 31, no. 2 (June 1991): 126–34. http://dx.doi.org/10.1007/bf02327564.

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29

Tsai, Ming-Yi, Yu-Wen Wang, and Chia-Ming Liu. "Thermally-Induced Deformations and Warpages of Flip-Chip and 2.5D IC Packages Measured by Strain Gauges." Materials 14, no. 13 (July 2, 2021): 3723. http://dx.doi.org/10.3390/ma14133723.

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The thermal warpage problems in integrated circuit (IC) packaging exist in both flip-chip and two-and-a-half dimensional integrated circuits (2.5D IC) packages during manufacturing processes and thermal cycling service. This study proposes a simple and easy-to-use strain gauge measurement associated with a beam model theory to determine the thermally induced deformations and warpages of both packages. First, validation and limitations of the beam model theory are presented. Then, the thermally induced out-of-plane deformations for both packages are well described by the finite element method (FEM) simulation with a good consistency to full-field shadow moiré experimental results. The strain gauge measurements were implemented experimentally, and the thermal strain results were found to be well consistent with validated FEM ones. As a result, out-of-plane thermal deformations and warpages of the packages, calculated from the beam model theory with extracted curvature data from the strain gauge, were in reasonably good agreement with those from FEM analysis and shadow moiré measurements. Therefore, the strain gauge method of featuring point strain measurement combined with the beam model theory proved feasible in determining the thermal deformations and warpages of both IC packages.
30

Ma, Jia-Jun, Zhen-Yu Wang, Shui-Gang Xu, Yu-Xiang Gao, Yu-Yang Zhang, Qing Dai, Xiao Lin, Shi-Xuan Du, Jindong Ren, and Hong-Jun Gao. "Local Density of States Modulated by Strain in Marginally Twisted Bilayer Graphene." Chinese Physics Letters 39, no. 4 (April 1, 2022): 047403. http://dx.doi.org/10.1088/0256-307x/39/4/047403.

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In marginally twisted bilayer graphene, the Moiré pattern consists of the maximized AB (BA) stacking regions, minimized AA stacking regions and triangular networks of domain walls. Here we realize the strain-modulated electronic structures of marginally twisted bilayer graphene by scanning tunneling microscopy/spectroscopy and density functional theory (DFT) calculations. The experimental data show four peaks near the Fermi energy at the AA regions. DFT calculations indicate that the two new peaks closer to the Fermi level may originate from the intrinsic heterostrain and the electric field implemented by back gate is likely to account for the observed shift of the four peaks. Furthermore, the dI/dV map across Moiré patterns with different strain strengths exhibits a distinct appearance of the helical edge states.
31

Silva, Caio C., Daniela Dombrowski, Nicolae Atodiresei, Wouter Jolie, Ferdinand Farwick zum Hagen, Jiaqi Cai, Paul T. P. Ryan, et al. "Spatial variation of geometry, binding, and electronic properties in the moiré superstructure of MoS2 on Au(111)." 2D Materials 9, no. 2 (January 26, 2022): 025003. http://dx.doi.org/10.1088/2053-1583/ac4958.

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Abstract The lattice mismatch between a monolayer of MoS2 and its Au(111) substrate induces a moiré superstructure. The local variation of the registry between sulfur and gold atoms at the interface leads to a periodic pattern of strongly and weakly interacting regions. In consequence, also the electronic bands show a spatial variation. We use scanning tunneling microscopy and spectroscopy (STM/STS), x-ray photoelectron spectroscopy (XPS) and x-ray standing wave (XSW) for a determination of the geometric and electronic structure. The experimental results are corroborated by density functional theory. We obtain the geometric structure of the supercell with high precision, identify the fraction of interfacial atoms that are strongly interacting with the substrate, and analyze the variation of the electronic structure in dependence of the location within the moiré unit cell and the nature of the band.
32

Brooks, Jacob, Guorong Weng, Stephanie Taylor, and Vojtech Vlcek. "Stochastic many-body perturbation theory for Moiré states in twisted bilayer phosphorene." Journal of Physics: Condensed Matter 32, no. 23 (March 10, 2020): 234001. http://dx.doi.org/10.1088/1361-648x/ab6d8c.

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33

Codecido, Emilio, Qiyue Wang, Ryan Koester, Shi Che, Haidong Tian, Rui Lv, Son Tran, et al. "Correlated insulating and superconducting states in twisted bilayer graphene below the magic angle." Science Advances 5, no. 9 (September 2019): eaaw9770. http://dx.doi.org/10.1126/sciadv.aaw9770.

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The emergence of flat bands and correlated behaviors in “magic angle” twisted bilayer graphene (tBLG) has sparked tremendous interest, though its many aspects are under intense debate. Here we report observation of both superconductivity and the Mott-like insulating state in a tBLG device with a twist angle of ~0.93°, which is smaller than the magic angle by 15%. At an electron concentration of ±5 electrons/moiré unit cell, we observe a narrow resistance peak with an activation energy gap ~0.1 meV. This indicates additional correlated insulating state, and is consistent with theory predicting a high-energy flat band. At doping of ±12 electrons/moiré unit cell we observe resistance peaks arising from the Dirac points in the spectrum. Our results reveal that the “magic” range of tBLG is in fact larger than what is previously expected, and provide a wealth of new information to help decipher the strongly correlated phenomena observed in tBLG.
34

Jones, Alfred J. H., Ryan Muzzio, Sahar Pakdel, Deepnarayan Biswas, Davide Curcio, Nicola Lanatà, Philip Hofmann, et al. "Visualizing band structure hybridization and superlattice effects in twisted MoS2/WS2 heterobilayers." 2D Materials 9, no. 1 (December 21, 2021): 015032. http://dx.doi.org/10.1088/2053-1583/ac3feb.

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Abstract A mismatch of atomic registries between single-layer transition metal dichalcogenides (TMDs) in a two-dimensional (2D) van der Waals heterostructure produces a moiré superlattice with a periodic potential, which can be fine-tuned by introducing a twist angle between the materials. This approach is promising both for controlling the interactions between the TMDs and for engineering their electronic band structures, yet direct observation of the changes to the electronic structure introduced with varying twist angle has so far been missing. Here, we probe heterobilayers comprised of single-layer MoS2 and WS2 with twist angles ranging from 2∘ to 20∘ and determine the twist angle-dependent evolution of the electronic band structure using micro-focused angle-resolved photoemission spectroscopy. We find strong interlayer hybridization between MoS2 and WS2 electronic states at the Γ ˉ -point of the Brillouin zone, leading to a shift of the valence band maximum in the heterostructure. Replicas of the hybridized states are observed at the center of twist angle-dependent moiré mini Brillouin zones. We confirm that these replica features arise from the inherent moiré potential by comparing our experimental observations with density functional theory calculations of the superlattice dispersion. Our direct visualization of these features underscores the potential of using twisted heterobilayer semiconductors to engineer hybrid electronic states and superlattices that alter the electronic and optical properties of 2D heterostructures for a wide range of twist angles.
35

Tu, Jinhong, and Li Zhan. "Two-dimensional theory of the Lau-Talbot-Moiré effect under partially coherent illumination." Optics Communications 82, no. 3-4 (April 1991): 229–35. http://dx.doi.org/10.1016/0030-4018(91)90450-r.

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36

Eyramjyan, Tigran H., Tamara S. Mnatsakanyan, and Minas K. Balyan. "Experimental and theoretical investigations of an X-ray LLL interferometer with a wedge-shaped mirror plate." Acta Crystallographica Section A Foundations and Advances 74, no. 5 (September 1, 2018): 595–99. http://dx.doi.org/10.1107/s2053273318009889.

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An X-ray LLL interferometer with a wedge-shaped mirror plate is experimentally and theoretically investigated. Experimentally obtained interference patterns show that the Moiré fringes are superposed on Pendellösung fringes and the period of the Pendellösung fringes is not changed after passing the analyzer plate. An eikonal theory of interference-fringe formation in an LLL interferometer with a wedge-shaped mirror plate is developed, and provides predictions that coincide with experimentally obtained results.
37

Lee, S. R., Z. S. Luo, H. S. Chiou, B. G. Wang, and L. S. Liu. "A Study of the Deformation Measurement of 3D Displacement Field." Key Engineering Materials 295-296 (October 2005): 313–18. http://dx.doi.org/10.4028/www.scientific.net/kem.295-296.313.

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With the development of modern engineering such as micro-electro-mechanical system (MEMS) and new material, the deformation measurement of 3D displacement field is required. Moiré interferometry has become common for measuring the deformations of two-dimension in-plane displacement field. To solve the problem of 3D displacement field, a system for measuring the deformations of 3D displacement field is designed. By using this system, we can measure the out-of-plane displacement by appending a set of electronic speckle interference system based on Moiré interferometry system. Adjusting the incident angle of the incident light, the transmitting direction of the first order diffracted wave in a Moiré interferometry system is assigned to deviate with a small angle from the vertical direction of the specimen surface. Thus the first order diffracted wave is separated from the place of the appended interference field. The striated patterns of the deformations of 3D displacement field can be obtained at the same time. These striated patterns are recorded respectively by three CCD cameras and are stored and processed by a computer. The synchronous measuring method brings certain amount of measuring errors into the measurement of in-plane displacement. This measuring error is analyzed in theory. When real-time measurement is not required, this system can be changed into another system in which the in-plane and the out-of-plane displacement field are measured by time sharing to reduce the measuring errors. The theoretical derivation and a part of experimental results for verification are presented.
38

McKelvie, J. "Moiré strain analysis: An introduction, review and critique, including related techniques and future potential." Journal of Strain Analysis for Engineering Design 33, no. 2 (February 1, 1998): 137–51. http://dx.doi.org/10.1243/0309324981512878.

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The moire fringe method is described and reviewed with particular reference to its application in strain analysis. The theory is briefly dealt with, followed by a discussion of the common methods used to analyse the information that the fringes contain and then certain non-obvious limitations are discussed. The generic grid-preparation techniques and optical arrangements are described. Moire interferometry is dealt with at some greater length, and questions that are frequently raised concerning moire in comparison to somewhat similar methods are addressed. Specific difficulties are indicated and the work concludes with a consideration of some recent work that may influence future developments of the method. Of necessity, there is much reliance on reference to quoted works.
39

Zhang, Fu, Wenkai Zheng, Yanfu Lu, Lavish Pabbi, Kazunori Fujisawa, Ana Laura Elías, Anna R. Binion, et al. "Superconductivity enhancement in phase-engineered molybdenum carbide/disulfide vertical heterostructures." Proceedings of the National Academy of Sciences 117, no. 33 (July 29, 2020): 19685–93. http://dx.doi.org/10.1073/pnas.2003422117.

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Stacking layers of atomically thin transition-metal carbides and two-dimensional (2D) semiconducting transition-metal dichalcogenides, could lead to nontrivial superconductivity and other unprecedented phenomena yet to be studied. In this work, superconducting α-phase thin molybdenum carbide flakes were first synthesized, and a subsequent sulfurization treatment induced the formation of vertical heterolayer systems consisting of different phases of molybdenum carbide—ranging from α to γ′ and γ phases—in conjunction with molybdenum sulfide layers. These transition-metal carbide/disulfide heterostructures exhibited critical superconducting temperatures as high as 6 K, higher than that of the starting single-phased α-Mo2C (4 K). We analyzed possible interface configurations to explain the observed moiré patterns resulting from the vertical heterostacks. Our density-functional theory (DFT) calculations indicate that epitaxial strain and moiré patterns lead to a higher interfacial density of states, which favors superconductivity. Such engineered heterostructures might allow the coupling of superconductivity to the topologically nontrivial surface states featured by transition-metal carbide phases composing these heterostructures potentially leading to unconventional superconductivity. Moreover, we envisage that our approach could also be generalized to other metal carbide and nitride systems that could exhibit high-temperature superconductivity.
40

Amidror, Isaac, and Roger D. Hersch. "The role of Fourier theory and of modulation in the prediction of visible moiré effects." Journal of Modern Optics 56, no. 9 (May 20, 2009): 1103–18. http://dx.doi.org/10.1080/09500340902994140.

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41

Yun-Yun, Chen, Suo Jia-Qi, Duan Chuan-Sen, and Zheng Gai-Ge. "Discussion the effect of non-collimated light path on moiré deflectometry based on diffraction theory." Optics and Lasers in Engineering 144 (September 2021): 106643. http://dx.doi.org/10.1016/j.optlaseng.2021.106643.

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42

Kim, Hyoung Seop, Kazufumi Ishida, Seiji Ishikawa, Yoshinori Ohtsuka, and Hisashi Shimizu. "Discriminating spinal deformity employing centroids difference on the moiré images." Systems and Computers in Japan 32, no. 7 (May 15, 2001): 20–28. http://dx.doi.org/10.1002/scj.1038.

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43

Cheung, Christopher T. S., Zachary A. H. Goodwin, Valerio Vitale, Johannes Lischner, and Arash A. Mostofi. "Atomistic Hartree theory of twisted double bilayer graphene near the magic angle." Electronic Structure 4, no. 2 (April 6, 2022): 025001. http://dx.doi.org/10.1088/2516-1075/ac5eaa.

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Abstract Twisted double bilayer graphene (tDBLG) is a moiré material that has recently generated significant interest because of the observation of correlated phases near the magic angle. We carry out atomistic Hartree theory calculations to study the role of electron–electron interactions in the normal state of tDBLG. In contrast to twisted bilayer graphene, we find that such interactions do not result in significant doping-dependent deformations of the electronic band structure of tDBLG. However, interactions play an important role for the electronic structure in the presence of a perpendicular electric field as they screen the external field. Finally, we analyze the contribution of the Hartree potential to the crystal field, i.e. the on-site energy difference between the inner and outer layers. We find that the on-site energy obtained from Hartree theory has the same sign, but a smaller magnitude compared to previous studies in which the on-site energy was determined by fitting tight-binding results to ab initio density-functional theory (DFT) band structures. To understand this quantitative difference, we analyze the ab initio Kohn–Sham potential obtained from DFT and find that a subtle interplay of electron–electron and electron–ion interactions determines the magnitude of the on-site potential.
44

Scammell, Harley D., J. I. A. Li, and Mathias S. Scheurer. "Theory of zero-field superconducting diode effect in twisted trilayer graphene." 2D Materials 9, no. 2 (March 29, 2022): 025027. http://dx.doi.org/10.1088/2053-1583/ac5b16.

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Abstract In a recent experiment (Lin et al 2021 arXiv:2112.07841 [cond-mat.str-el]), the superconducting phase hosted by a heterostructure of mirror-symmetric twisted trilayer graphene and WSe2 was shown to exhibit significantly different critical currents in opposite directions in the absence of external magnetic fields. We here develop a microscopic theory and analyze necessary conditions for this zero-field superconducting diode effect. Taking into account the spin–orbit coupling induced in trilayer graphene via the proximity effect, we classify the pairing instabilities and normal-state orders and derive which combinations are consistent with the observed diode effect, in particular, its field trainability. We perform explicit calculations of the diode effect in several different models, including the full continuum model for the system, and illuminate the relation between the diode effect and finite-momentum pairing. Our theory also provides a natural explanation of the observed sign change of the current asymmetry with doping, which can be related to an approximate chiral symmetry of the system, and of the enhanced transverse resistance above the superconducting transition. Our findings not only elucidate the rich physics of trilayer graphene on WSe2, but also establish a means to distinguish between various candidate interaction-induced orders in spin-orbit-coupled graphene moiré systems, and could therefore serve as a guide for future experiments as well.
45

Nieken, Rachel, Anna Roche, Fateme Mahdikhanysarvejahany, Takashi Taniguchi, Kenji Watanabe, Michael R. Koehler, David G. Mandrus, John Schaibley, and Brian J. LeRoy. "Direct STM measurements of R-type and H-type twisted MoSe2/WSe2." APL Materials 10, no. 3 (March 1, 2022): 031107. http://dx.doi.org/10.1063/5.0084358.

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When semiconducting transition metal dichalcogenide heterostructures are stacked, the twist angle and lattice mismatch lead to a periodic moiré potential. As the angle between the layers changes, so do the electronic properties. As the angle approaches 0° or 60°, interesting characteristics and properties, such as modulations in the band edges, flat bands, and confinement, are predicted to occur. Here, we report scanning tunneling microscopy and spectroscopy measurements on the bandgaps and band modulations in MoSe2/WSe2 heterostructures with near 0° rotation (R-type) and near 60° rotation (H-type). We find a modulation of the bandgap for both stacking configurations with a larger modulation for R-type than for H-type as predicted by theory. Furthermore, local density of states images show that electrons are localized differently at the valence band and conduction band edges.
46

Ho, I.-Lin, Tsang-Chi Wang, Yia-Chung Chang, and Wang-Yang Li. "Approximate scheme by the coupled-wave theory to efficiently analyze the influences of moiré phenomena in liquid-crystal devices." Applied Optics 51, no. 24 (August 13, 2012): 5806. http://dx.doi.org/10.1364/ao.51.005806.

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47

Min, Ya, Dai Fulong, Xie Huimin, and Lü Jian. "Measurement of non-uniform residual stresses by combined Moiré interferometry and hole-drilling method: Theory, experimental method and applications." Acta Mechanica Sinica 19, no. 6 (December 2003): 567–74. http://dx.doi.org/10.1007/bf02484550.

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48

Blank, Vladimir, Leonid Ivanov, Boris Kulnitskiy, Igor Perezhogin, Evgene Polyakov, and Alexander Semenov. "Structure of twisted BNC nanotubes with polygonal cross-section." Acta Crystallographica Section B Structural Science 68, no. 5 (September 13, 2012): 543–48. http://dx.doi.org/10.1107/s0108768112034635.

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BNC nanotubes and nanofibers have been synthesized in the high isostatic pressure apparatus in Ar at 1923 K and 1.5 MPa in the presence of yttrium aluminium garnet. Some of the nanotubes obtained were filled with Al2O3. Transmission electron microscopy (TEM) studies have shown that the nanotubes and nanofibers have a polygonal cross-section (prismatic shape), and most often they are twisted, which is due to the transversal instability of the nanotubes originating under the growth conditions, including temperature treatment. Twisting also revealed itself in the appearance of the moiré fringes during the TEM observation of some of the nanotubes and nanofibers. Analysis of these fringes has shown that the facets of these nanotubes represent the slightly misoriented hexagonal BN and/or C plates. An Al2O3 filling of the nanotube makes it harder to twist when subjected to torque, which conforms to the tube deformation theory.
49

Goyal, D., and A. H. King. "Simulation and Contrast Analysis of tem Images of Cracks." Proceedings, annual meeting, Electron Microscopy Society of America 48, no. 1 (August 12, 1990): 578–79. http://dx.doi.org/10.1017/s0424820100181658.

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TEM images of cracks have been found to give rise to a moiré fringe type of contrast. It is apparent that the moire fringe contrast is observed because of the presence of a fault in a perfect crystal, and is characteristic of the fault geometry and the diffracting conditions in the TEM. Various studies have reported that the moire fringe contrast observed due to the presence of a crack in an otherwise perfect crystal is distinctive of the mode of crack. This paper describes a technique to study the geometry and mode of the cracks by comparing the images they produce in the TEM because of the effect that their displacement fields have on the diffraction of electrons by the crystal (containing a crack) with the corresponding theoretical images. In order to formulate a means of matching experimental images with theoretical ones, displacement fields of dislocations present (if any) in the vicinity of the crack are not considered, only the effect of the displacement field of the crack is considered.The theoretical images are obtained using a computer program based on the two beam approximation of the dynamical theory of diffraction contrast for an imperfect crystal. The procedures for the determination of the various parameters involved in these computations have been well documented. There are three basic modes of crack. Preliminary studies were carried out considering the simplest form of crack geometries, i. e., mode I, II, III and the mixed modes, with orthogonal crack geometries. It was found that the contrast obtained from each mode is very distinct. The effect of variation of operating conditions such as diffracting vector (), the deviation parameter (ω), the electron beam direction () and the displacement vector were studied. It has been found that any small change in the above parameters can result in a drastic change in the contrast. The most important parameter for the matching of the theoretical and the experimental images was found to be the determination of the geometry of the crack under consideration. In order to be able to simulate the crack image shown in Figure 1, the crack geometry was modified from a orthogonal geometry to one with a crack tip inclined to the original crack front. The variation in the crack tip direction resulted in the variation of the displacement vector also. Figure 1 is a cross-sectional micrograph of a silicon wafer with a chromium film on top, showing a crack in the silicon.
50

Mochizuki, Jun, and Toshio Asano. "Study on Reduction Methods of Moiré Noise in Image Acquisition of Periodic Gray-Scale Pattern." Systems and Computers in Japan 33, no. 1 (January 2002): 27–37. http://dx.doi.org/10.1002/scj.1097.

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