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1

Betts, D. D., S. Masui, N. Vats, and G. E. Stewart. "Improved finite-lattice method for estimating the zero-temperature properties of two-dimensional lattice models." Canadian Journal of Physics 74, no. 1-2 (1996): 54–64. http://dx.doi.org/10.1139/p96-010.

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The well-known finite-lattice method for the calculation of the properties of quantum spin systems on a two-dimensional lattice at zero temperature was introduced in 1978. The method has now been greatly improved for the square lattice by including finite lattices based on parallelogram tiles as well as the familiar finite lattices based on square tiles. Dozens of these new finite lattices have been tested and graded using the [Formula: see text] ferromagnet. In the process new and improved estimates have been obtained for the XY model's ground-state energy per spin, ε0 = −0.549 36(30) and spo
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2

Kawada, Takuya, Masashi Kawaguchi, Takumi Funato, Hiroshi Kohno, and Masamitsu Hayashi. "Acoustic spin Hall effect in strong spin-orbit metals." Science Advances 7, no. 2 (2021): eabd9697. http://dx.doi.org/10.1126/sciadv.abd9697.

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We report on the observation of the acoustic spin Hall effect that facilitates lattice motion–induced spin current via spin-orbit interaction (SOI). Under excitation of surface acoustic wave (SAW), we find that a spin current flows orthogonal to the SAW propagation in nonmagnetic metals (NMs). The acoustic spin Hall effect manifests itself in a field-dependent acoustic voltage in NM/ferromagnetic metal bilayers. The acoustic voltage takes a maximum when the NM layer thickness is close to its spin diffusion length, vanishes for NM layers with weak SOI, and increases linearly with the SAW freque
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3

Betts, D. D., H. Q. Lin, and J. S. Flynn. "Improved finite-lattice estimates of the properties of two quantum spin models on the infinite square lattice." Canadian Journal of Physics 77, no. 5 (1999): 353–69. http://dx.doi.org/10.1139/p99-041.

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This paper describes an improvement in the method of exact diagonalization of Hamiltonians of quantum spin models on finite square lattices and the statistical analysis of the data so obtained to estimate the physical properties of the models on the infinite square lattices at zero temperature. The geometry and topology of finite square lattices are described. The models studied are the spin one-half XY and Heisenberg antiferromagnets using 28 finite square lattices with up to 32 vertices. Our estimates of the energy and magnetization on each model on the infinite lattice at zero temperature c
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4

De, Anulekha, Sucheta Mondal, Sourav Sahoo, et al. "Field-controlled ultrafast magnetization dynamics in two-dimensional nanoscale ferromagnetic antidot arrays." Beilstein Journal of Nanotechnology 9 (April 9, 2018): 1123–34. http://dx.doi.org/10.3762/bjnano.9.104.

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Ferromagnetic antidot arrays have emerged as a system of tremendous interest due to their interesting spin configuration and dynamics as well as their potential applications in magnetic storage, memory, logic, communications and sensing devices. Here, we report experimental and numerical investigation of ultrafast magnetization dynamics in a new type of antidot lattice in the form of triangular-shaped Ni80Fe20 antidots arranged in a hexagonal array. Time-resolved magneto-optical Kerr effect and micromagnetic simulations have been exploited to study the magnetization precession and spin-wave mo
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5

Tran, Tien Duy, Yibo Wang, Alex Glaetzle, Shannon Whitlock, Andrei Sidorov, and Peter Hannaford. "Magnetic Lattices for Ultracold Atoms." Communications in Physics 29, no. 2 (2019): 97. http://dx.doi.org/10.15625/0868-3166/29/2/13678.

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This article reviews the development in our laboratory of magnetic lattices comprising periodic arrays of magnetic microtraps created by patterned magnetic films to trap periodic arrays of ultracold atoms. Recent achievements include the realisation of multiple Bose-Einstein condensates in a 10 \(\mu\)m-period one-dimensional magnetic lattice; the fabrication of sub-micron-period square and triangular magnetic lattice structures suitable for quantum tunnelling experiments; the trapping of ultracold atoms in a sub-micron-period triangular magnetic lattice; and a proposal to use long-range inter
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6

Betts, D. D., and S. Miyashita. "Zero-temperature properties of quantum spin systems in two dimensions." Canadian Journal of Physics 68, no. 12 (1990): 1410–18. http://dx.doi.org/10.1139/p90-202.

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We consider the zero-temperature properties of four different spin 1/2 models on two-dimensional lattices: the XY ferromagnet, the XY antiferromagnet, the Heisenberg antiferromagnet, and the Dzyaloshinsky–Moriya models. Most of this article is a review of previously published work, but a few previously unpublished results are included. The relation between three of the models on bipartite lattices is described. The properties of the XY ferromagnet in two dimensions, especially those derived from extrapolation of finite lattice results, are reviewed. A numerical factor by which spin-wave and fi
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7

Betts, D. D., K. S. Lee, and H. Q. Lin. "Exact diagonalization of the S = 1/2 XY ferromagnet on a new set of finite triangular lattices at T = 0." Canadian Journal of Physics 81, no. 3 (2003): 555–71. http://dx.doi.org/10.1139/p03-036.

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We have obtained 85 finite triangular lattices from 7 to 36 vertices. We display two very good finite lattices – 21a (well-known) and 22a (previously unknown). Over the past decade several physicists have used exact diagonalization on five tripartite triangular lattices from N = 9 to 36 to study the Heisenberg and XY antiferromagnet on the infinite triangular lattice. Nine more tripartite triangular lattices are available as shown below in the text. Our exact diagonalization of the S = 1/2 XY ferromagnetic energies and magnetization leads, by scalar equations, to the properties on the infinite
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8

Shishanin, A. O. "Phase transition temperature in some lattice models." Seriya 3: Fizika, Astronomiya, no. 2_2023 (June 2, 2023): 1–4. http://dx.doi.org/10.55959/msu0579-9392.78.2320101.

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A method for calculating the phase transition temperature using only one cell is considered. This method has been tested for various lattice models: Ising model on triangular, hexagonal and tetrahedral lattices, three-position Potts model on a square lattice. In particular, exact reply is reproduced in the Ising model for triangular lattice. Also, this method was used to analyze some multi-spin models.
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9

Orendáčová, Alžbeta, Róbert Tarasenko, Vladimír Tkáč, Erik Čižmár, Martin Orendáč, and Alexander Feher. "Interplay of Spin and Spatial Anisotropy in Low-Dimensional Quantum Magnets with Spin 1/2." Crystals 9, no. 1 (2018): 6. http://dx.doi.org/10.3390/cryst9010006.

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Quantum Heisenberg chain and square lattices are important paradigms of a low-dimensional magnetism. Their ground states are determined by the strength of quantum fluctuations. Correspondingly, the ground state of a rectangular lattice interpolates between the spin liquid and the ordered collinear Néel state with the partially reduced order parameter. The diversity of additional exchange interactions offers variety of quantum models derived from the aforementioned paradigms. Besides the spatial anisotropy of the exchange coupling, controlling the lattice dimensionality and ground-state propert
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10

Chern, Gia-Wei. "Novel Magnetic Orders and Ice Phases in Frustrated Kondo-Lattice Models." SPIN 05, no. 02 (2015): 1540006. http://dx.doi.org/10.1142/s2010324715400068.

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We review recent theoretical progress in our understanding of electron-driven novel magnetic phases on frustrated lattices. Our specific focus is on Kondo-lattice or double-exchange models assuming finite magnetic moments localized at the lattice sites. A salient feature of systems with SU(2) symmetric local moments is the emergence of noncoplanar magnetic ordering driven by the conduction electrons. The complex spin textures then endow the electrons a nontrivial Berry phase, often giving rise to a topologically nontrivial electronic state. The second part of the review is devoted to the discu
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11

Owerre, S. A. "Topological hardcore bosons on the honeycomb lattice." Canadian Journal of Physics 94, no. 9 (2016): 814–20. http://dx.doi.org/10.1139/cjp-2016-0235.

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This paper presents a connection between the topological properties of hardcore bosons and that of magnons in quantum spin magnets. We utilize the Haldane-like hardcore bosons on the honeycomb lattice as an example. We show that this system maps to a spin-1/2 quantum XY model with a next-nearest-neighbour Dzyaloshinsky–Moriya interaction. We obtain the magnon excitations of the quantum spin model and compute the edge states, Berry curvature, and thermal and spin Nernst conductivities. Because of the mapping from spin variables to bosons, the hardcore bosons possess the same nontrivial topologi
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12

Hung, C. L., Alejandro González-Tudela, J. Ignacio Cirac, and H. J. Kimble. "Quantum spin dynamics with pairwise-tunable, long-range interactions." Proceedings of the National Academy of Sciences 113, no. 34 (2016): E4946—E4955. http://dx.doi.org/10.1073/pnas.1603777113.

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We present a platform for the simulation of quantum magnetism with full control of interactions between pairs of spins at arbitrary distances in 1D and 2D lattices. In our scheme, two internal atomic states represent a pseudospin for atoms trapped within a photonic crystal waveguide (PCW). With the atomic transition frequency aligned inside a band gap of the PCW, virtual photons mediate coherent spin–spin interactions between lattice sites. To obtain full control of interaction coefficients at arbitrary atom–atom separations, ground-state energy shifts are introduced as a function of distance
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13

Awaga, Kunio. "Solid-State Electrochemistry on Supramolecular Assemblies with Strong Isotropic Property." ECS Meeting Abstracts MA2023-01, no. 15 (2023): 1397. http://dx.doi.org/10.1149/ma2023-01151397mtgabs.

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It has been mathematically proven that only honeycomb, diamond, and K4 lattices have a special symmetry called "strong isotropy". Note that crystallographic symmetry is determined only by the position of atoms, while strong isotropy is governed by both the position of atoms and bonds. The K4 lattice, called by various names such as gyroid lattice and srs network, is characterized by the fact that it exhibits chirality. It is recognized that their mathematically-defined “line graphs” correspond to kagome, hyper-kagome, and pyrochlore lattices, respectively, which are well known as spin frustrat
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14

Pérez, A., H. Ottavi, and P. Saint-Grégoire. "Lattice spin model AB1B2." Computational Materials Science 18, no. 2 (2000): 167–76. http://dx.doi.org/10.1016/s0927-0256(00)00002-1.

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15

Tang, Gao, Chunyan Bai, Tianchen Tang, Jiansheng Peng, Songlin Zhuang, and Dawei Zhang. "A Simulation Study of the Dynamical Control of Optical Skyrmion Lattices through the Superposition of Optical Vortex Beams." Photonics 10, no. 11 (2023): 1259. http://dx.doi.org/10.3390/photonics10111259.

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Optical skyrmion lattices play an important role in photonic system design and have potential applications in optical transmission and storage. In this study, we propose a novel metasurface approach to calculating the dependence of the multi-beam interference principle and the angular momentum action in the spin–orbit interaction. The metasurface consists of nanopore structures, which are used to generate an optical skyrmion lattice. The superposition of optical vortex beams with circular polarization states is used to evaluate the evolution of the shape of the topological domain walls of the
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16

Bo, Nguyen Duong, Nguyen Hong Son, and Tran Minh Tien. "Exotic States Emerged By Spin-Orbit Coupling, Lattice Modulation and Magnetic Field in Lieb Nano-ribbons." Communications in Physics 29, no. 3SI (2019): 293. http://dx.doi.org/10.15625/0868-3166/29/3si/14285.

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The Lieb nano-ribons with the spin-orbit coupling, the lattice modulation and the magnetic field are exactly studied. They are constructed from the Lieb lattice with two open boundaries in a direction. The interplay between the spin-orbit coupling, the lattice modulation and the magnetic field emerges various exotic ground states. With certain conditions of the spin-orbit coupling, the lattice modulation, the magnetic field and filling the ground state becomes half metallic or half topological. In the half metallic ground state, one spin component is metallic, while the other spin component is
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17

Reimers, J. N., and J. R. Dahn. "Lattice gas and spin ordering on stacked triangular lattices." Journal of Physics: Condensed Matter 4, no. 41 (1992): 8105–18. http://dx.doi.org/10.1088/0953-8984/4/41/006.

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18

LIN, K. Y., and T. R. TSAI. "SPONTANEOUS MAGNETIZATION OF THE ISING MODEL ON THE ASANOHA LATTICE." Modern Physics Letters B 06, no. 16n17 (1992): 1025–28. http://dx.doi.org/10.1142/s0217984992001848.

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We have derived exactly the spontaneous magnetization of the Ising model on the Asanoha (hemp leaf) lattice with nine two-spin coupling constants, two four-spin coupling constants, and three magnetic moments. The dual lattice of the 3–12 lattice is the Asanoha lattice which includes the triangular lattice and the diced lattice as special cases.
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19

Bang, Wonbae, M. T. Kaffash, M. T. Hossain, A. Hoffmann, J. B. Ketterson, and M. B. Jungfleisch. "Spin dynamics in permalloy nano-ellipses for honeycomb and square lattices." AIP Advances 12, no. 3 (2022): 035131. http://dx.doi.org/10.1063/9.0000307.

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We report experimental and theoretical studies of spin dynamics in lattice structures of permalloy (Ni80Fe20) nano-ellipses, with four different types of networks including honeycomb and square lattices. The lattices are patterned at the center line of the co-planar wave guide and consist of non-contacting or contacting ellipses. Micromagnetic simulations show excellent agreement with the broadband ferromagnetic resonance (FMR) experimental results. We find the existence of a spin-wave mode localized in the vertex region of the contacting nano-ellipse network. Our finding has important implica
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20

Whangbo, Myung-Hwan, Hyun-Joo Koo, Reinhard K. Kremer, and Alexander N. Vasiliev. "Magnetization Plateaus by the Field-Induced Partitioning of Spin Lattices." Condensed Matter 9, no. 4 (2024): 45. http://dx.doi.org/10.3390/condmat9040045.

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To search for a conceptual picture describing the magnetization plateau phenomenon, we surveyed the crystal structures and the spin lattices of those magnets exhibiting plateaus in their magnetization vs. magnetic field curves by probing the three questions: (a) why only certain magnets exhibit magnetization plateaus, (b) why there occur several different types of magnetization plateaus, and (c) what controls the widths of magnetization plateaus. We show that the answers to these questions lie in how the magnets under field absorb Zeeman energy, hence changing their magnetic structures. The ma
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21

NIENHUIS, Bernard. "CRITICAL SPIN-1 VERTEX MODELS AND O(n) MODELS." International Journal of Modern Physics B 04, no. 05 (1990): 929–42. http://dx.doi.org/10.1142/s0217979290000449.

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A method is presented by which critical and multicritical points of spin-1 (three-state) vertex models and classical O(n) models on two-dimensional lattices are determined. It is a straightforward generalization of the ideas that earlier led to the determination of critical points and critical exponents of a honeycomb O(n) model. On the square lattice the methods leads to tricritical as well as critical loci. For n=2 a larger critical manifold is found than for other values of n. At the critical and multicritical points thus produced the models turn out to be soluble. The method is applicable
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22

Kaya, Tuncer. "A new approach to real space renormalization group treatment of Ising model for square and simple cubic lattice." International Journal of Modern Physics B 32, no. 23 (2018): 1850252. http://dx.doi.org/10.1142/s0217979218502521.

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Real Space Renormalization Group (RSRG) treatment of Ising model for square and simple cubic lattice is investigated and critical coupling strengths of these lattices are obtained. The mathematical complications, which appear inevitable in the decimated partition function due to Block-spin transformation, is treated with a relevant approximation. The approximation is based on the approximate equivalence of [Formula: see text] for small [Formula: see text], where K is the nearest neighbor coupling strength and [Formula: see text] is the nearest neighbor spins degrees of freedom around a central
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23

Sørensen, Anders, and Klaus Mølmer. "Spin-Spin Interaction and Spin Squeezing in an Optical Lattice." Physical Review Letters 83, no. 11 (1999): 2274–77. http://dx.doi.org/10.1103/physrevlett.83.2274.

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24

Huntley, A., and C. Michael. "Spin-spin and spin-orbit potentials from lattice gauge theory." Nuclear Physics B 286 (January 1987): 211–30. http://dx.doi.org/10.1016/0550-3213(87)90438-x.

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25

Zampronio, Vinicius, and Tommaso Macrì. "Chiral superconductivity in the doped triangular-lattice Fermi-Hubbard model in two dimensions." Quantum 7 (July 20, 2023): 1061. http://dx.doi.org/10.22331/q-2023-07-20-1061.

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The triangular-lattice Fermi-Hubbard model has been extensively investigated in the literature due to its connection to chiral spin states and unconventional superconductivity. Previous simulations of the ground state of the doped system rely on quasi-one-dimensional lattices where true long-range order is forbidden. Here we simulate two-dimensional and quasi-one-dimensional triangular lattices using state-of-the-art Auxiliary-Field Quantum Monte Carlo. Upon doping a non-magnetic chiral spin state, we observe evidence of chiral superconductivity supported by long-range order in Cooper-pair cor
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26

CHEN, YONG-CONG. "OPTIMIZING THE RVB STATE ON A TRIANGULAR LATTICE: PRESENCE OF THE LONG RANGE ORDER." Modern Physics Letters B 08, no. 20 (1994): 1253–60. http://dx.doi.org/10.1142/s0217984994001242.

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We present a Schwinger boson approach for the RVB state of the spin-1/2 Heisenberg antiferromagnet on a triangular lattice. It is shown that a Gutzwiller projection of the mean field state that includes both antiferromagnetic and ferromagnetic decouplings leads to optimizing the RVB pair amplitudes within a self-consistent approximation. The resulting state yields, by Monte Carlo simulations, energies and spin-spin correlations in excellent agreement with the exact diagonalization result on finite lattices (up to 36 sites). We conclude that the optimized RVB wave function possesses a long rang
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27

HENRIQUES, A. B., P. H. O. RAPPL, and E. ABRAMOF. "MAGNETO-OPTICAL ABSORPTION AND PHOTOMAGNETISM IN EUROPIUM CHALCOGENIDES." International Journal of Modern Physics B 23, no. 12n13 (2009): 2769–76. http://dx.doi.org/10.1142/s0217979209062347.

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The absorption threshold in EuTe and EuSe was investigated as a function of applied magnetic field in the Faraday geometry. A well-resolved doublet of sharp dichroic lines was observed when the magnetic field induced ferromagnetic alignment of the spins in the crystal lattice. In contrast, at zero magnetic field only a broad and featureless absorption onset is seen. These results are fully explained in terms of a model of electronic transitions between localized states at the Eu lattice site and a tight-binding conduction band, which incorporates the formation of spin domains. Based on this mo
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28

SONG, YUN. "THE FINITE-SIZE PROPERTIES OF THE SQUARE LATTICE QUANTUM HEISENBERG ANTIFERROMAGNET." Modern Physics Letters B 15, no. 02 (2001): 61–68. http://dx.doi.org/10.1142/s0217984901001537.

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We study the spin-1/2 square lattice Heisenberg antiferromagnets with finite size by the nonlinear spin-wave theory. At low temperatures, the effects of the lattice size (L×L) on the spin-wave velocity and the staggered magnetization are obtained, respectively. We find that the staggered magnetization is very sensitive to the lattice size, while the finite size effect on the spin-wave velocity is weak. Moreover, the temperature dependence of the correlation length is also discussed. The results we have obtained are in agreement with the results of experiments and numerical simulations.
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29

BHANOT, G. V., and S. L. ADLER. "PARALLEL ACCELERATION ALGORITHM FOR SPIN MODELS." International Journal of Modern Physics C 03, no. 04 (1992): 605–10. http://dx.doi.org/10.1142/s0129183192000397.

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We describe and implement a multi-scale acceleration algorithm for spin models on a massively parallel supercomputer, the Connection Machine CM-200. Unlike usual cluster algorithms, our algorithm is completely parallelizable. The time to update all variables in a system of volume Ld scales as Ld log 2L. We prove this by computing the time for one lattice sweep for the 2-d XY model for our algorithm on lattices of size up to 2048×2048.
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30

Kühne, Irina A., Kane Esien, Laurence C. Gavin, Helge Müller-Bunz, Solveig Felton, and Grace G. Morgan. "Modulation of Mn3+ Spin State by Guest Molecule Inclusion." Molecules 25, no. 23 (2020): 5603. http://dx.doi.org/10.3390/molecules25235603.

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Spin state preferences for a cationic Mn3+ chelate complex in four different crystal lattices are investigated by crystallography and SQUID magnetometry. The [MnL1]+ complex cation was prepared by complexation of Mn3+ to the Schiff base chelate formed from condensation of 4-methoxysalicylaldehyde and 1,2-bis(3-aminopropylamino)ethane. The cation was crystallized separately with three polyatomic counterions and in one case was found to cocrystallize with a percentage of unreacted 4-methoxysalicylaldehyde starting material. The spin state preferences of the four resultant complexes [MnL1]CF3SO3·
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31

Gallyamov, I. I., and L. F. Yusupova. "Magnetization of an elastic ferromagnet." Journal of Physics: Conference Series 2061, no. 1 (2021): 012026. http://dx.doi.org/10.1088/1742-6596/2061/1/012026.

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Abstract At the macroscopic level, ferromagnetism is a quantum mechanical phenomenon. To describe magnetic materials, it is necessary to create a heuristic model that in terms of continuum mechanics describes the interaction between the lattice continuum, which is a carrier of deformations, and the magnetization field, which is associated with the spin continuum through the gyromagnetic effect. According to the laws of quantum mechanics, each individual particle is associated with a magnetic moment and an internal angular momentum – spin. Electrons mainly contribute to the magnetic moment of t
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32

Woo, C. H. "Machine-defined lattice spin models." Physics Letters A 116, no. 4 (1986): 185–90. http://dx.doi.org/10.1016/0375-9601(86)90312-9.

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33

Polonyi, Janos. "Spin-statistics for lattice QCD." Nuclear Physics B - Proceedings Supplements 9 (June 1989): 614–17. http://dx.doi.org/10.1016/0920-5632(89)90172-2.

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34

Gaiotto, Davide, and Anton Kapustin. "Spin TQFTs and fermionic phases of matter." International Journal of Modern Physics A 31, no. 28n29 (2016): 1645044. http://dx.doi.org/10.1142/s0217751x16450445.

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We study lattice constructions of gapped fermionic phases of matter. We show that the construction of fermionic Symmetry Protected Topological orders by Gu and Wen has a hidden dependence on a discrete spin structure on the Euclidean space-time. The spin structure is needed to resolve ambiguities which are otherwise present. An identical ambiguity is shown to arise in the fermionic analog of the string-net construction of 2D topological orders. We argue that the need for a spin structure is a general feature of lattice models with local fermionic degrees of freedom and is a lattice analog of t
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35

CAMBUÍ, D. S., A. S. DE ARRUDA, and M. GODOY. "MONTE CARLO SIMULATIONS OF A DISORDERED BINARY ISING MODEL." International Journal of Modern Physics C 23, no. 08 (2012): 1240015. http://dx.doi.org/10.1142/s0129183112400153.

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A disordered binary Ising model, with only nearest-neighbor spin exchange interactions J > 0 on the square lattice, is studied through Monte Carlo simulations. The system consists of two different particles with spin-1/2 and spin-1, randomly distributed on the lattice. We found the critical temperatures for several values of the concentration x of spin-1/2 particles, and also the corresponding critical exponents.
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36

Briones, J., H. C. Schneider, and B. Rethfeld. "Monte Carlo simulation of ultrafast nonequilibrium spin and charge transport in iron." Journal of Physics Communications 6, no. 3 (2022): 035001. http://dx.doi.org/10.1088/2399-6528/ac5873.

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Abstract Spin transport and spin dynamics after femtosecond laser pulse irradiation of iron (Fe) are studied using a kinetic Monte Carlo model. This model simulates spin dependent dynamics by taking into account two interaction processes during nonequilibrium: elastic electron–lattice scattering, where only the direction of the excited electrons changes, and inelastic electron–electron scattering processes, where secondary electrons are generated. An analysis of the spin dependent particle kinetics inside the material shows that a smaller elastic scattering time leads to a larger spatial sprea
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37

Guo, Wenbin, Zhangzhen He, Yingying Tang, Suyun Zhang, Ming Yang, and Wendan Cheng. "BaMn9II(VO4)6(OH)2: a homospin ferrimagnet with a broken spinel-lattice of B-sites." Dalton Transactions 44, no. 14 (2015): 6363–67. http://dx.doi.org/10.1039/c4dt02930e.

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A new homospin ferrimagnet BaMn<sub>9</sub><sup>II</sup>(VO<sub>4</sub>)<sub>6</sub>(OH)<sub>2</sub> exhibits a unique structural feature with a reverse triangular dipyramid Mn<sub>7</sub> spin lattice, in which such a lattice can be considered as a broken spin lattice of B-sites in spinel compounds.
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38

XU, HUI-YING, WEN-XUE YU, and ZHEN-HONG MAI. "ELECTRICAL TRANSPORT IN MAGNETIC SANDWICH WITH INTERFACE INTER-DIFFUSIONAL ROUGHNESS AND/OR ALLOYING." International Journal of Modern Physics B 13, no. 17 (1999): 2313–29. http://dx.doi.org/10.1142/s0217979299002423.

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A thin transition sublayer with its own spin-dependent lattice potentials and relaxation times of the conduction electrons is introduced to describe the interface inter-diffusional roughness and/or alloying. Within the real-space Kubo formalism, the contribution of the spin-dependent lattice potentials to the giant magnetoresistance (GMR) effect, the dependence of the GMR effect on the spin asymmetry ratio and the spin-down relaxation time of the transition sublayers, the GMR effect versus the thicknesses of the ferromagnetic (FM) and nonmagnetic (NM) layers are discussed based on the jellium
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39

Filibian, M., S. Colombo Serra, M. Moscardini, A. Rosso, F. Tedoldi, and P. Carretta. "The role of the glassy dynamics and thermal mixing in the dynamic nuclear polarization and relaxation mechanisms of pyruvic acid." Phys. Chem. Chem. Phys. 16, no. 48 (2014): 27025–36. http://dx.doi.org/10.1039/c4cp02636e.

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In pyruvic acid containing 15 mM trityl below 4 K <sup>13</sup>C polarization and spin–lattice relaxation rates are proportional to the spin–lattice relaxation rate of electrons, suggesting an efficient thermal mixing scenario.
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40

Kurumaji, Takashi, Taro Nakajima, Max Hirschberger, et al. "Skyrmion lattice with a giant topological Hall effect in a frustrated triangular-lattice magnet." Science 365, no. 6456 (2019): 914–18. http://dx.doi.org/10.1126/science.aau0968.

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Geometrically frustrated magnets can host complex spin textures, leading to unconventional electromagnetic responses. Magnetic frustration may also promote topologically nontrivial spin states such as magnetic skyrmions. Experimentally, however, skyrmions have largely been observed in noncentrosymmetric lattice structures or interfacial symmetry-breaking heterostructures. Here, we report the emergence of a Bloch-type skyrmion state in the frustrated centrosymmetric triangular-lattice magnet Gd2PdSi3. We observed a giant topological Hall response, indicating a field-induced skyrmion phase, whic
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Zhao, Guang-Lin. "A Canonical Transformation for the Anderson Lattice Hamiltonian with f–f Electron Coupling." Advances in Condensed Matter Physics 2024 (February 26, 2024): 1–7. http://dx.doi.org/10.1155/2024/7851286.

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In this work, a new canonical transformation for the Anderson lattice Hamiltonian with f–f electron coupling was developed, which was further used to identify a new Kondo lattice Hamiltonian. Different from the single impurity Kondo effect, the resulted new Kondo lattice Hamiltonian only includes the spin-flip scattering processes between conduction electrons and f-electrons, while the normal process of non-spin-flip scattering is absent in this Hamiltonian, under the second order approximation. The new Kondo lattice Hamiltonian may be used to study some anomalous physical properties in some K
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42

Yamamoto, Shoji, and Takashi Inoue. "Magnon Confinement on the Two-Dimensional Penrose Lattice: Perpendicular-Space Analysis of the Dynamic Structure Factor." Crystals 14, no. 8 (2024): 702. http://dx.doi.org/10.3390/cryst14080702.

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Employing the spin-wave formalism within and beyond the harmonic-oscillator approx-imation, we study the dynamic structure factors of spin-12 nearest-neighbor quantum Heisenberg antiferromagnets on two-dimensional quasiperiodic lattices with particular emphasis on a mag-netic analog to the well-known confined states of a hopping Hamiltonian for independent electrons on a two-dimensional Penrose lattice. We present comprehensive calculations on the C5v Penrose tiling in comparison with the C8v Ammann–Beenker tiling, revealing their decagonal and octagonal antiferromagnetic microstructures. Thei
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Fujiki, S., and D. D. Betts. "Zero-temperature properties of quantum spin models on a triangular lattice I: the ferromagnet." Canadian Journal of Physics 64, no. 8 (1986): 876–81. http://dx.doi.org/10.1139/p86-154.

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The calculation of two- and four-spin correlations of the [Formula: see text] ferromagnet has been extended to an N = 21 site triangular lattice. By fitting a quadratic in 1/N to the nearest neighbour transverse pair correlations, we have estimated the ground-state energy per bond on the infinite lattice to be E0/3NJ = −0.5326 ± 0.003. We conjecture that the square of the magnetization per site vanishes very sharply as N−0.06. The nearest neighbour longitudinal correlation per bond [Formula: see text] for all two-dimensional lattices.
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BAKAEV, A. V., and V. I. KABANOVICH. "NUMERICAL STUDY OF THE 3-COLOR PROBLEM ON CUBIC LATTICE BY A METHOD OF RANDOM PARTITION FUNCTIONS." Modern Physics Letters B 08, no. 07 (1994): 439–43. http://dx.doi.org/10.1142/s0217984994000467.

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We propose a stochastic method for computing partition functions of models which can be stated as lattice spin models. The method admits averaging over independent realizations, thus is well suited for simulating models on finite lattices. We apply this method to the 3-color problem on cubic map.
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Thang, Nguyen Toan, and Pham Thi Thanh Nga. "Supersolids of Hard Core - Bosons on a Triangular Lattice." Communications in Physics 21, no. 4 (2011): 301. http://dx.doi.org/10.15625/0868-3166/21/4/361.

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We study the boson model on a triangular lattice interacting only via on-site hardcore repulsion by mapping to a system of spins $(S = 1/2)$. We investigate the supersolid phase of the systems which is a state matter displaying both diagonal long- range (solid) order as well as off-diagonal long-range (superfluidity) by utilizing a semionic representation for the spin-XXZ model. We show that the supersolid order is stable in the mean-field theory for a broad region of parameters. The inclusion of spin wave corrections modifies this picture, but the supersolid phase is still quite robust on the
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Dey, Kajal Krishna, and Golam Ali Sekh. "Effective spin dynamics of spin-orbit coupled matter-wave solitons in optical lattices." Communications in Theoretical Physics, September 9, 2024. http://dx.doi.org/10.1088/1572-9494/ad7835.

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Abstract We consider matter-wave solitons in spin-orbit coupled Bose-Einstein condensates embedded in optical lattice and study dynamics of soliton within the framework of Gross-Pitaevskii equations. We express spin components of the soliton pair in terms of nonlinear Bloch equation and investigate effective spin dynamics. It is seen that the effective magnetic field that appears in the Bloch equation is affected by the optical lattices, and thus the optical lattice influences the precessional frequency of the spin components. We make use of numerical approaches to investigate the dynamical be
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Kandukuri, Sateesh, V. Satya Narayana Murthy, and P. K. Thiruvikraman. "Isolated skyrmion, skyrmion lattice and antiskyrmion lattice creation through magnetization reversal in Co/Pd nanostructure." Scientific Reports 11, no. 1 (2021). http://dx.doi.org/10.1038/s41598-021-98337-6.

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AbstractSkyrmion and antiskyrmion spin textures are axisymmetric inhomogeneous localized objects with distinct chirality in magnetic systems. These spin textures are potential candidates for the next generation energy-efficient spintronic applications due to their unique topological properties. Controlled and effective creation of the spin textures is required to use in conventional and neuromorphic computing applications. Here we show by micromagnetic simulations creating an isolated skyrmion, skyrmion lattice and antiskyrmion lattice through the magnetization reversal in Co/Pd multilayer nan
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Wang, Ying, Dan Li, Xinying Sun, et al. "Effect of lattice distortion on spin admixture and quantum transport in organic devices with spin-orbit coupling." Chinese Physics B, March 20, 2024. http://dx.doi.org/10.1088/1674-1056/ad35ae.

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Abstract With an extended Su–Schrieffer–Heeger model and Green’s function method, the spin-orbit coupling (SOC) effects on spin admixture of electronic states and quantum transport in organic devices are investigated. The role of lattice distortion induced by the strong electron-lattice interaction in organics is clarified in contrast with a uniform chain. The results demonstrate an enhanced SOC effect on the spin admixture of frontier eigenstates by the lattice distortion at a larger SOC, which is explained by the perturbation theory. The quantum transport under the SOC is calculated for both
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Knakkergaard Nielsen, Kristian. "Localized dopant motion across the 2D Ising phase transition." SciPost Physics Core 7, no. 3 (2024). http://dx.doi.org/10.21468/scipostphyscore.7.3.054.

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I investigate the motion of a single hole in 2D spin lattices with square and triangular geometries. While the spins have nearest neighbor Ising spin couplings JJ, the hole is allowed to move only in 1D along a single line in the 2D lattice with nearest neighbor hopping amplitude tt. The non-equilibrium hole dynamics is initialized by suddenly removing a single spin from the thermal Ising spin lattice. I find that for any nonzero spin coupling and temperature, the hole is localized. This is an extension of the thermally induced localization phenomenon [Phys. Rev. Res. 6, 023325 (2024)] to the
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Seifert, Urban F. P., Josef Willsher, Markus Drescher, Frank Pollmann, and Johannes Knolle. "Spin-Peierls instability of the U(1) Dirac spin liquid." Nature Communications 15, no. 1 (2024). http://dx.doi.org/10.1038/s41467-024-51367-w.

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AbstractQuantum fluctuations can inhibit long-range ordering in frustrated magnets and potentially lead to quantum spin liquid (QSL) phases. A prime example are gapless QSLs with emergent U(1) gauge fields, which have been understood to be described in terms of quantum electrodynamics in 2+1 dimension (QED3). Despite several promising candidate materials, however, a complicating factor for their realisation is the presence of other degrees of freedom. In particular lattice distortions can act to relieve magnetic frustration, precipitating conventionally ordered states. In this work, we use fie
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