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1

Chen, L. Y., and P. L. Nash. "Landauer Approach to Time-Dependent Transport." Modern Physics Letters B 11, no. 01 (1997): 35–45. http://dx.doi.org/10.1142/s0217984997000062.

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Based upon the nonequilibrium Green's function formalism, we present a time-dependent Landauer approach to transport through a mesoscopic system under an ac bias voltage. The system is modeled as an elastic scatterer coupled to large electron reservoirs through perfect conducting wires (leads). The chemical potentials of the reservoirs are driven apart by the bias and, consequently, current flows through the leads from one reservoir to another. We examine the nonequilibrium statistical processes of electrons in the leads. The electronic waves are quantized on the basis of orthonormal wave pack
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2

Sâad, R. Ben, and C. A. Pillet. "A geometric approach to the Landauer-Büttiker formula." Journal of Mathematical Physics 55, no. 7 (2014): 075202. http://dx.doi.org/10.1063/1.4879238.

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3

Casati, Giulio, Italo Guarneri, and Giulio Maspero. "Landauer and Thouless Conductance: a Band Random Matrix Approach." Journal de Physique I 7, no. 5 (1997): 729–36. http://dx.doi.org/10.1051/jp1:1997187.

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4

Maassen, J., and M. Lundstrom. "(Invited) The Landauer Approach to Electron and Phonon Transport." ECS Transactions 69, no. 9 (2015): 23–36. http://dx.doi.org/10.1149/06909.0023ecst.

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5

GREEN, FREDERICK, and MUKUNDA P. DAS. "NOISE AND TRANSPORT IN MESOSCOPICS: PHYSICS BEYOND THE LANDAUER–BÜTTIKER FORMALISM." Fluctuation and Noise Letters 05, no. 01 (2005): C1—C14. http://dx.doi.org/10.1142/s0219477505002355.

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The standard physical model of contemporary mesoscopic noise and transport consists in a phenomenologically based approach, proposed originally by Landauer and since continued and amplified by Büttiker, Imry and others. Throughout all the years of its gestation and growth, it is surprising that the Landauer–Büttiker approach to mesoscopics has matured with scant attention to the conserving properties lying at its roots: that is, at the level of actual microscopic principles. We systematically apply the sum rules for the electron gas to clarify the issue of conservation within the standard mode
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6

Tian, Weidong, and Supriyo Datta. "Aharonov-Bohm-type effect in graphene tubules: A Landauer approach." Physical Review B 49, no. 7 (1994): 5097–100. http://dx.doi.org/10.1103/physrevb.49.5097.

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7

Chen, L. Y., and S. C. Ying. "Frequency response of mesoscopic conductors: a time-dependent Landauer approach." Journal of Physics: Condensed Matter 6, no. 27 (1994): 5061–68. http://dx.doi.org/10.1088/0953-8984/6/27/015.

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8

Guarnieri, Giacomo, Steve Campbell, John Goold, Simon Pigeon, Bassano Vacchini, and Mauro Paternostro. "Full counting statistics approach to the quantum non-equilibrium Landauer bound." New Journal of Physics 19, no. 10 (2017): 103038. http://dx.doi.org/10.1088/1367-2630/aa8cf1.

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9

Pal, Partha Pratim, S. Ramakrishna, and Tamar Seideman. "Emergence of Landauer transport from quantum dynamics: A model Hamiltonian approach." Journal of Chemical Physics 148, no. 14 (2018): 144707. http://dx.doi.org/10.1063/1.5009815.

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10

Jeong, Changwook, Supriyo Datta, and Mark Lundstrom. "Thermal conductivity of bulk and thin-film silicon: A Landauer approach." Journal of Applied Physics 111, no. 9 (2012): 093708. http://dx.doi.org/10.1063/1.4710993.

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11

Salejda, W. "The Landauer resistance of generalized Fibonacci lattices: the dynamical maps approach." Physica A: Statistical Mechanics and its Applications 232, no. 3-4 (1996): 769–76. http://dx.doi.org/10.1016/0378-4371(96)00183-5.

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12

Papp, Eszter, Dávid P. Jelenfi, Máté T. Veszeli, and Gábor Vattay. "A Landauer Formula for Bioelectronic Applications." Biomolecules 9, no. 10 (2019): 599. http://dx.doi.org/10.3390/biom9100599.

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Recent electronic transport experiments using metallic contacts attached to proteins identified some “stylized facts”, which contradict conventional wisdom that increasing either the spatial distance between the electrodes or the temperature suppresses conductance exponentially. These include nearly temperature-independent conductance over the protein in the 30 to 300 K range, distance-independent conductance within a single protein in the 1 to 10 nm range and an anomalously large conductance in the 0.1 to 10 nS range. In this paper, we develop a generalization of the low temperature Landauer
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13

van Rossum, M. C. W., Th M. Nieuwenhuizen, and R. Vlaming. "Optical conductance fluctuations: Diagrammatic analysis in the Landauer approach and nonuniversal effects." Physical Review E 51, no. 6 (1995): 6158–76. http://dx.doi.org/10.1103/physreve.51.6158.

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14

Paul, Abhijeet, Shuaib Salamat, Changwook Jeong, Gerhard Klimeck, and Mark Lundstrom. "An efficient algorithm to calculate intrinsic thermoelectric parameters based on Landauer approach." Journal of Computational Electronics 11, no. 1 (2011): 56–66. http://dx.doi.org/10.1007/s10825-011-0379-2.

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15

Sowa, Jakub K., Neill Lambert, Tamar Seideman, and Erik M. Gauger. "Beyond Marcus theory and the Landauer–Büttiker approach in molecular junctions. II. A self-consistent Born approach." Journal of Chemical Physics 152, no. 6 (2020): 064103. http://dx.doi.org/10.1063/1.5143146.

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16

Sánchez, Cristián G., Maria Stamenova, Stefano Sanvito, D. R. Bowler, Andrew P. Horsfield, and Tchavdar N. Todorov. "Molecular conduction: Do time-dependent simulations tell you more than the Landauer approach?" Journal of Chemical Physics 124, no. 21 (2006): 214708. http://dx.doi.org/10.1063/1.2202329.

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17

Kawabata, Arisato. "Landauer Type Approach to Electron Conduction in One-Dimensional Systems and Interaction Effects." Journal of the Physical Society of Japan 67, no. 7 (1998): 2430–38. http://dx.doi.org/10.1143/jpsj.67.2430.

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18

SHENG, L., and C. S. TING. "INTRINSIC SPIN HALL EFFECT IN MESOSCOPIC SYSTEMS." International Journal of Modern Physics B 20, no. 17 (2006): 2339–58. http://dx.doi.org/10.1142/s0217979206034613.

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The intrinsic spin Hall effect has been attracting increasing theoretical and experimental interest since its discovery about two years ago. In this article, we review the main achievements in the theoretical aspect of both dissipative and nondissipative spin Hall effects in mesoscopic systems. The Landauer–Büttiker formula and Green's function approach based numerical method for the spin Hall effect is also introduced.
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19

Sowa, Jakub K., Jan A. Mol, G. Andrew D. Briggs, and Erik M. Gauger. "Beyond Marcus theory and the Landauer-Büttiker approach in molecular junctions: A unified framework." Journal of Chemical Physics 149, no. 15 (2018): 154112. http://dx.doi.org/10.1063/1.5049537.

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20

Jeong, Changwook, Supriyo Datta, and Mark Lundstrom. "Full dispersion versus Debye model evaluation of lattice thermal conductivity with a Landauer approach." Journal of Applied Physics 109, no. 7 (2011): 073718. http://dx.doi.org/10.1063/1.3567111.

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21

Hoffmann, Klaus. "The Development of Clinical Psychoanalytic Practice with Psychotic Patients." Psychoanalysis and History 4, no. 1 (2002): 21–30. http://dx.doi.org/10.3366/pah.2002.4.1.21.

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The psychoanalysis of psychoses began nearly as early as the psychoanalysis of neuroses, but has always had problems to be acknowledged by psychiatrists as well as by psychoanalysts. In Zurich, Jung, Abraham and Binswanger started to treat psychotic inpatients with psychoanalysis, first with quick genetic interpretations. Binswanger later changed this approach in his own sanatorium in Kreuzlingen. Landauer favoured the ‘passive analysis’ which Fromm-Reichmann developed into her ‘Intensive Psychotherapy’ later in her sanatorium near Washington, DC. Group analysis and the therapeutic community a
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22

Musland, Lars, and Espen Flage-Larsen. "Thermoelectric transport calculations using the Landauer approach, ballistic quantum transport simulations, and the Buttiker approximation." Computational Materials Science 132 (May 2017): 146–57. http://dx.doi.org/10.1016/j.commatsci.2017.02.016.

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23

Zabihi, Zabiholah, and Houshang Araghi. "Monte Carlo simulations of effective electrical conductivity of graphene/poly(methyl methacrylate) nanocomposite: Landauer-Buttiker approach." Synthetic Metals 217 (July 2016): 87–93. http://dx.doi.org/10.1016/j.synthmet.2016.03.024.

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24

BELAYADI, ADEL. "AN APPROACH BASED ON LANDAUER–BÜTTIKER FORMALISM TO COMPUTE THE ELECTRONIC LOCALIZED STATES AT SURFACE BOUNDARIES." Surface Review and Letters 27, no. 06 (2019): 1950164. http://dx.doi.org/10.1142/s0218625x19501646.

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In this contribution, we provide a theoretical model to study the effect of different cutting edges on the appearance of localized electronic states. The system under study is a three-dimensional atomic chain that ends with an open cut forming a semi-infinite structured layer in the (1 0 0), (1 1 0) and (1 1 1) directions. We investigate the surface electronic characteristics of the monoatomic chain of a simple cube (sc), orthorhombic (orth), and tetragonal (tetr) structures. We have adopted in our approach the tight-binding approximation to build up the surface Hamiltonian matrix. Additionall
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25

You, J. Q., Chi-Hang Lam, and H. Z. Zheng. "Landauer-Büttiker formula for time-dependent transport through resonant-tunneling structures: A nonequilibrium Green’s function approach." Physical Review B 62, no. 3 (2000): 1978–83. http://dx.doi.org/10.1103/physrevb.62.1978.

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26

Hong, Jeongmin, Brian Lambson, Scott Dhuey, and Jeffrey Bokor. "Experimental test of Landauer’s principle in single-bit operations on nanomagnetic memory bits." Science Advances 2, no. 3 (2016): e1501492. http://dx.doi.org/10.1126/sciadv.1501492.

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Minimizing energy dissipation has emerged as the key challenge in continuing to scale the performance of digital computers. The question of whether there exists a fundamental lower limit to the energy required for digital operations is therefore of great interest. A well-known theoretical result put forward by Landauer states that any irreversible single-bit operation on a physical memory element in contact with a heat bath at a temperature T requires at least kBT ln(2) of heat be dissipated from the memory into the environment, where kB is the Boltzmann constant. We report an experimental inv
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27

Krivovichev, Sergey V. "Structural complexity and configurational entropy of crystals." Acta Crystallographica Section B Structural Science, Crystal Engineering and Materials 72, no. 2 (2016): 274–76. http://dx.doi.org/10.1107/s205252061501906x.

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Using a statistical approach, it is demonstrated that the complexity of a crystal structure measured as the Shannon information per atom [Krivovichev (2012).Acta Cryst.A68, 393–398] represents a negative contribution to the configurational entropy of a crystalline solid. This conclusion is in full accordance with the general agreement that information and entropy are reciprocal variables. It also agrees well with the understanding that complex structures possess lower entropies relative to their simpler counterparts. The obtained equation is consistent with the Landauer principle and points ou
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28

Woiczikowski, P. Benjamin, Tomáš Kubař, Rafael Gutiérrez, Rodrigo A. Caetano, Gianaurelio Cuniberti, and Marcus Elstner. "Combined density functional theory and Landauer approach for hole transfer in DNA along classical molecular dynamics trajectories." Journal of Chemical Physics 130, no. 21 (2009): 215104. http://dx.doi.org/10.1063/1.3146905.

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29

Verma, Vinay Kumar, and Neeraj Kumar Misra. "Study and Performance Analysis of MOS Technology and Nanocomputing QCA." SAMRIDDHI : A Journal of Physical Sciences, Engineering and Technology 9, no. 02 (2017): 93–96. http://dx.doi.org/10.18090/samriddhi.v9i02.10868.

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One of the critical issues in VLSI circuit is High Power dissipation. Quantumdot Cellular Automata (QCA) which is widely utilized in nanocomputing era. QCA has Landauer clocked based synthesis approach and it has clocked based information flow. This manuscript analysis and design a combinational digital circuits in an emerging QCA framework. The design is evaluated and formulated in terms of area, latency and power dissipation. QCA Designer tool has been taken for the design of quantum cell-based combinational circuits and simulation purpose. Moreover, it is believed based on experimental anal
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30

Walczak, Kamil. "The role of quantum interference in determining transport properties of molecular bridges." Open Chemistry 2, no. 3 (2004): 524–33. http://dx.doi.org/10.2478/bf02476205.

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AbstractAn analytical approach to the electron transport phenomena in molecular devices is presented. The analyzed devices are composed of various molecular bridges attached to two semi-infinite electrodes. Molecular system is described within the tight-binding model, while the coupling to the electrodes is analyzed through the use of Newns-Anderson chemisorption theory. The current-voltage (I-V) characteristics are calculated through the integration of transmission function in the standard Landauer formulation. The essential question of quantum interference effect of electron waves is diseuss
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31

CHEN, L. Y., and S. C. YING. "SHOT NOISE SUPPRESSION IN QUANTUM POINT CONTACT STRUCTURES." Modern Physics Letters B 09, no. 10 (1995): 573–83. http://dx.doi.org/10.1142/s0217984995000528.

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The shot noise power spectrum of a quantum point contact structure is investigated based upon a time-dependent Landauer approach. The system is modeled by an open conducting channel coupled with two infinite reservoirs. When the channel length L ≫ ξ (the coherence length of an electron wave packet), all the channel states moving from source to drain are fully occupied while all the opposite ones are empty. Consequently, shot noise is suppressed to zero along with conductance quantization. For L ~ ξ, however, while the conductance is still well quantized, the shot noise is only partially suppre
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32

Semiglazov, G. S. "The Concept of the State in Weber’s and Landauer’s Works: an Analysis of the Weberian Definition from the Perspective of Anarchist Theory." Sociology of Power 32, no. 4 (2020): 123–45. http://dx.doi.org/10.22394/2074-0492-2020-4-123-145.

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The article focuses on the concept of the state in the works of the German sociologist M. Weber and his contemporary, the anarchist G. Landauer. Specifically, it is commonly thought that Weber has a unique interpretation of the state, its nature, and inalienable characteristics. This Weberian approach did not fit into any of the traditions that existed at that time in Germany (for example, represented by H. Kelsen, G. Jellinek, and O. von Gierke). However, the author of the article tries to demonstrate that three main Weberian aspects of the state — 1) the monopoly on legitimate physical viole
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33

Bode, Niels, Silvia Viola Kusminskiy, Reinhold Egger, and Felix von Oppen. "Current-induced forces in mesoscopic systems: A scattering-matrix approach." Beilstein Journal of Nanotechnology 3 (February 20, 2012): 144–62. http://dx.doi.org/10.3762/bjnano.3.15.

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Nanoelectromechanical systems are characterized by an intimate connection between electronic and mechanical degrees of freedom. Due to the nanoscopic scale, current flowing through the system noticeably impacts upons the vibrational dynamics of the device, complementing the effect of the vibrational modes on the electronic dynamics. We employ the scattering-matrix approach to quantum transport in order to develop a unified theory of nanoelectromechanical systems out of equilibrium. For a slow mechanical mode the current can be obtained from the Landauer–Büttiker formula in the strictly adiabat
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34

Jafari, A., M. Ghoranneviss, A. Boochani, and M. R. Hantehzadeh. "Thermoelectric properties of T-shaped graphene nanodevice." International Journal of Modern Physics B 29, no. 20 (2015): 1550133. http://dx.doi.org/10.1142/s0217979215501337.

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The thermoelectric properties of a T-shaped graphene nanodevice (TGN) are investigated by means of the Landauer approach using the π-electron tight-binding model. The dependence of thermopower on the temperature is studied and the results are qualitatively in agreement with many features recently observed in thermoelectric measurements on graphene nanodevice which suggests the existence of a minimum when the EF is several kBT away from the Dirac point. Thermoconductance κ is proportional to transmission coefficient and thermal current has a linear dependence on the temperature. Further, both t
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35

Chiang, Tse-Min, and Liang-Yan Hsu. "Quantum transport with electronic relaxation in electrodes: Landauer-type formulas derived from the driven Liouville–von Neumann approach." Journal of Chemical Physics 153, no. 4 (2020): 044103. http://dx.doi.org/10.1063/5.0007750.

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36

Hernández, Carlos, and Christophe Chaubet. "Low Frequency Admittance Measurements in the Quantum Hall Regime." MRS Proceedings 1617 (2013): 211–16. http://dx.doi.org/10.1557/opl.2013.1187.

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ABSTRACTIn this paper we present an ac-magneto-transport study of a two-dimensional electron gas (2DEG) in the quantum Hall effect (QHE) regime, for frequencies in the range [100Hz, 1MHz]. We present an approach to understand admittance measurements based in the Landauer-Buttiker formalism for QHE edge channels and taking into account the capacitance and the topology of the cables connected to the contacts used in the measurements. Our model predicts an universal behavior with the a-dimensional parameter RHCω where RH is the 2 wires resistance of the 2DEG, C the capacitance cables and the angu
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37

RASHIDIAN, Z., and F. KHEIRANDISH. "SHOT NOISE IN NORMAL-FERROMAGNETIC-NORMAL GRAPHENE." International Journal of Modern Physics B 25, no. 25 (2011): 3281–88. http://dx.doi.org/10.1142/s0217979211102058.

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In this paper the transport properties of normal-ferromagnetic-normal graphene structures are studied by the Landauer Büttiker approach. The properties of spin chiral ferromagnetic layer are investigated when exchange energy exceeds the Fermi energy. To this end, the conductance as well as the shot noise are calculated. The Pauli exclusion principle that acts only on the carriers with the same spin, reduces the shot noise from its Schottky value. The effects of shot noise on the carriers with opposite spins in a ferromagnetic graphene are considered and it is observed that in this case the sho
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38

Racec, P. N., and Ulrich Wulf. "Small-Signal Circuit Elements of MIS-Type Nanostructures." Solid State Phenomena 121-123 (March 2007): 549–52. http://dx.doi.org/10.4028/www.scientific.net/ssp.121-123.549.

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Starting from a mean field calculation for the static capacitance of a MIS-nanostructure with a near back gate [P.N. Racec, E. R. Racec and U. Wulf, Phys. Rev. B 65, 193314, (2002)] we develop an approach to determine the equivalent small-signal circuit. The analyzed system has an open character, taken into account in the Landauer-Büttiker formalism. The Coulomb interaction is treated in Hartree approximation. Consistent with our static calculations we determine the charge-charge correlation function in the random phase approximation to find the ac-admittances. The small-signal circuit consist
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39

Venkatramani, Ravindra, Emil Wierzbinski, David H. Waldeck, and David N. Beratan. "Breaking the simple proportionality between molecular conductances and charge transfer rates." Faraday Discuss. 174 (2014): 57–78. http://dx.doi.org/10.1039/c4fd00106k.

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A theoretical framework is presented to describe and to understand the observed relationship between molecular conductances and charge transfer rates across molecular bridges as a function of length, structure, and charge transfer mechanism. The approach uses a reduced density matrix formulation with a phenomenological treatment of system–bath couplings to describe charge transfer kinetics and a Green's function based Landauer–Buttiker method to describe steady-state currents. Application of the framework is independent of the transport regime and includes bath-induced decoherence effects. Thi
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40

Khatun, M., Z. Kan, A. Cancio, and C. Nelson. "Effects of band hybridization on electronic properties in tuning armchair graphene nanoribbons." Canadian Journal of Physics 94, no. 2 (2016): 218–25. http://dx.doi.org/10.1139/cjp-2015-0066.

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We explore a model of armchair graphene nanoribbons tuned by functionalizing the edge states. Edge modifications are modeled by changing the electronic energy of the edge states in specific periodic patterns. The model can be considered to mimic a controlled doping process with different elements. The band structure, density of states, conductance, and local density of states are calculated, using the tight binding approach, Green’s function methodology, and the Landauer formula. The results show interesting behaviors, which are considerably different from the properties of the perfect nanorib
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41

Garg, O. P., Vijay Kr Lamba, and D. K. Kaushik. "Effect of Molecular Rotation on Charge Transport Phenomena." Journal of Multiscale Modelling 06, no. 02 (2015): 1550005. http://dx.doi.org/10.1142/s1756973715500055.

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The study of electron transport properties of molecular systems could be explained on the basis of the Landauer formalism. Unfortunately, due to the complexity of the experimental setup, most of these measurements have no control over the details of the electrode geometry, rotation of molecules, variation in angle of contacts, effect of fano resonances associated with side groups attached to rigid backbones, which results in a spectrum of IV-characteristics. Theoretical models can therefore help to understand and helps to develop new applications such as molecular sensors, etc. Thus we used si
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42

Sowa, Jakub K., Jan A. Mol, G. Andrew D. Briggs, and Erik M. Gauger. "Erratum: “Beyond Marcus theory and the Landauer-Büttiker approach in molecular junctions: A unified framework” [J. Chem. Phys. 149, 154112 (2018)]." Journal of Chemical Physics 152, no. 9 (2020): 099901. http://dx.doi.org/10.1063/5.0004514.

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43

BOUCHERRAB, M., R. TIGRINE, B. BOURAHLA, and A. KHATER. "SCATTERING BY AN ADSORBED CHAIN ON METALLIC HEXAGONAL SURFACE." International Journal of Modern Physics B 28, no. 01 (2013): 1350199. http://dx.doi.org/10.1142/s0217979213501993.

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We develop a theoretical approach to calculate the scattering and localization properties in the inhomogeneous hexagonal nanostructure system with adsorbed chain. Our numerical results are presented for three different positions of the defect, Top, Hollow and Bridge. The breakdown of translation symmetry induced by the inhomogeneity, gives rise to localized elastic wave modes at its neighborhood. The Landauer and Buttiker method is used to analyze the elastic wave scattering phenomena for atomic sites that constitute a minimum representation set in the neighborhood of the defect. The transmiss
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44

SANKOWSKI, PIOTR, and PERLA KACMAN. "MODELING OF TUNNELING MAGNETORESISTANCE IN (Ga,Mn)As–TRILAYERS." International Journal of Modern Physics B 23, no. 12n13 (2009): 2969–73. http://dx.doi.org/10.1142/s0217979209062645.

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A model which combines the Landauer-Büttiker formalism with empirical multi-orbital tight-binding approach is used to predict conditions for improving the performance of tunneling magnetoresistance (TMR) in ( Ga , Mn ) As -based trilayer structures, in particular, for reducing the bias anomaly effect. The calculations show that two parameters, i.e., the spin splitting in the magnetic layers and the height of the tunneling barrier, define a two range decay of the TMR with bias. It is shown that the higher is the barrier in the spacer layer and the bigger is the spin-splitting in the magnetic la
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45

WAKABAYASHI, KATSUNORI, and TAKASHI AOKI. "ELECTRICAL CONDUCTANCE OF ZIGZAG NANOGRAPHITE RIBBONS WITH LOCALLY APPLIED GATE VOLTAGE." International Journal of Modern Physics B 16, no. 32 (2002): 4897–909. http://dx.doi.org/10.1142/s0217979202014917.

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The electric conductance of the graphite ribbon with locally applied gate voltage has been studied in terms of the Landauer approach. In the low-energy region, nano-graphite ribbon with zigzag boundaries exhibits the single electronic transport channel due to the edge states. The chemical potential dependence of the electric conductance shows qualitatively different behavior, depending on whether the magnitude of the potential barrier (gate voltage bias) Vg is larger than the energy gap Δ of the single channel region of the zigzag ribbon. For positive Vg with Vg < Δ, the zero-conductance re
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46

Belayadi, Adel, Boualem Bourahla, and Ahmed Mougari. "An Analytical Description of the Magnetic Conductance Across an Isolated Defect Region in a 1D-Ferromagnetic Lead." SPIN 09, no. 01 (2019): 1950005. http://dx.doi.org/10.1142/s201032471950005x.

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We illustrate in this contribution the determination of the magnetic conductance across a nanocontact region defined by an isolated defect region joined between two mono-atomic leads ferromagnetically ordered. The system is described by the Heisenberg interaction. Additionally, to deal with the lack of symmetry across the contact region defined by the isolated defect, we involve the phase field matching approach. Furthermore, to compute the quantum conductance, we define the quantum scattering of the transmission and reflection probabilities within the framework of Landauer–Büttiker formalism.
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47

Goncharov, L. I., A. M. Yafyasov, and D. E. Tsurikov. "A semispectral approach for the efficient calculation of scattering matrices in quasi-1D quantum systems and transmission coefficients for the Landauer formula." Journal of Computational Electronics 13, no. 4 (2014): 885–93. http://dx.doi.org/10.1007/s10825-014-0605-9.

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48

Bourahla, Boualem, and Adel Belayadi. "Computing the surface electronic states on the (100), (110) and (111) surfaces of FCC monatomic crystals." International Journal of Modern Physics B 35, no. 05 (2021): 2150066. http://dx.doi.org/10.1142/s0217979221500661.

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In this study, we carry out a simulation of the surface band structures for face-centered cubic (fcc) leads that end up in (100), (110) and (111) surfaces. The surface Hamiltonian matrix is constructed from tight-binding approach and the secular equations of the surface eigenvalue problem. The solution of the problem is performed by integrating the Landauer–Büttiker formalism (LBF) in the phase field matching approach (PFMA). The LBF provides the quantum scattering properties and the PFMA connects the bulk modes to those of the surface based on the quantum scattering coefficients. The combinat
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Belhadi, M., and S. Kheffache. "Phonon Conductance of Potassium- and Sodium-Doped Transpolyacetylene Chain." ISRN Condensed Matter Physics 2012 (November 14, 2012): 1–9. http://dx.doi.org/10.5402/2012/382939.

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A theoretical approach for the study of phonon dynamics and scattering properties of doped transpolyacetylene chain is presented. The coherent reflection and transmission scattering cross-sections for phonons incident on the doped unit cell boundary are calculated in accordance with the Landauer-Buttiker electron scattering description, using the matching procedure with the nearest and next nearest neighbor elastic force constants. This is done for two different dopants, namely, the potassium and sodium atoms. Our numerical results yield an understanding of the transpolyacetylene chain dynamic
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50

TAMINE, M. "SCATTERING OF ELASTIC WAVES BY THE ISOLATED LINEAR CHAIN OF PHYSISORBED ATOMS ON THE SURFACE IN A TWO-DIMENSIONAL WAVEGUIDE." Surface Review and Letters 09, no. 03n04 (2002): 1465–74. http://dx.doi.org/10.1142/s0218625x02003871.

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The scattering and transmission properties of vibrational waves in a perturbed two-dimensional wave-guide in the harmonic approximation are presented. The perturbation is characterized by an isolated adatom defect boundary separating two planar waveguide crystalline lattices, illustrated by a linear chain of defect masses. The theoretical approach using the matching procedure for calculating phonon scattering at their domain boundaries is also presented. The reflection and transmission probabilities in the scattering region are calculated and illustrated for heavy and light defect masses. The
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