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We report on the electronic structure, density of states and transmission properties of the periodic one-dimensional Tight-Binding (TB) lattice with a single orbital per site and nearest-neighbor interactions, with a generic unit cell of…

Materials Science · Physics 2018-02-26 K. Lambropoulos , C. Simserides

Quenched disorder in a solid state system can result in Anderson localization, where electrons are exponentially localized and the system behaves like an insulator. By solving exactly a disordered electronic lattice model out of…

Disordered Systems and Neural Networks · Physics 2025-09-24 Kunal Mozumdar , Herbert F. Fotso , Jong E. Han

Quantum dynamics of the electron wave function on one-dimensional lattice is considered. The lattice consists of $N$ equal sites and one impurity site. The impurity site differs from other sites by the on-site electron energy $E$ and the…

Mesoscale and Nanoscale Physics · Physics 2013-02-13 V. N. Likhachev , T. Yu. Astakhova , G. A. Vinogradov

We perform molecular dynamics simulations on an interacting electron gas confined to a cylindrical surface and subject to a radial magnetic field and the field of the positive background. In order to study the system at lowest energy states…

Statistical Mechanics · Physics 2009-11-07 Vishal Mehra , Jayme De Luca

In a one-dimensional lattice, the induced metric (from a noncommutative geometry calculation) breaks translation invariance. This leads to some inconsistencies among different spectator frames, in the observation of the hoppings of a test…

High Energy Physics - Theory · Physics 2009-10-30 E. Atzmon

Using non-equilibrium Green's functions (NEGF), we calculate the current through an interacting region connected to non-interacting leads. The problem is reformulated in such a way that a Landauer-like term appears in the current as well as…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 H. Ness , L. K. Dash , R. W. Godby

A theoretical understanding of the experimental electronic transport phenomena in gas sensors based on DNA functionalized graphene is presented by quantitatively investigating the time-dependent electronic transport in these devices using…

Mesoscale and Nanoscale Physics · Physics 2013-09-16 P. Gurung , N. Deo

Quantum state transfer in a triangular domain of a two-dimensional, equally-spaced, spin lat- tice with non-homogeneous nearest-neighbor couplings is analyzed. An exact solution of the one- excitation dynamics is provided in terms of…

Mathematical Physics · Physics 2012-03-13 Hiroshi Miki , Satoshi Tsujimoto , Luc Vinet , Alexei Zhedanov

We study the nonlinear elastic quantum electronic transport properties of nanoscopic devices using the Nonequilibrium Green's function (NEGF) method. The Green's function method allows us to expand the $I-V$ characteristics of a given…

Mesoscale and Nanoscale Physics · Physics 2009-07-14 Alexis R. Hernández , Caio H. Lewenkopf

We derive a theory for transmission through disordered finite superlattices in which the interface roughness scattering is treated by disorder averaging. This procedure permits efficient calculation of the transmission thr ough samples with…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Andreas Wacker , Ben Yu-Kuang Hu

In this paper we derive general relations for the band-structure of an array of quantum dots and compute its transport properties when connected to two perfect leads. The exact lattice Green's functions for the perfect array and with an…

Mesoscale and Nanoscale Physics · Physics 2009-01-13 N. M. R. Peres , T. Stauber , J. M. B. Lopes dos Santos

We study transport of fermions in a system composed of a short optical lattice connecting two finite atomic reservoirs at different filling levels. The average equilibration current through the optical lattice, for strong lattice-reservoir…

Quantum Gases · Physics 2012-01-24 M. Bruderer , W. Belzig

We present a unified transport theory of hybrid structures, in which a confined normal state ($N$) sample is sandwiched between two leads each of which can be either a ferromagnet ($F$) or a superconductor ($S$) via tunnel barriers. By…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Z. Y. Zeng , Baowen Li , F. Claro

The fully self-consistent non-equilibrium Green functions (NEGFs) approach to the quantum transport is developed for the investigation of one-dimensional nano-scale devices. Numerical calculations performed for resonant tunneling diodes…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Van Nam Do , Philippe Dollfus , Van Lien Nguyen

Deriving macroscopic phenomenological laws of irreversible thermodynamics from simple microscopic models is one of the tasks of non-equilibrium statistical mechanics. We consider stationary energy transport in crystals with reference to…

Statistical Mechanics · Physics 2015-06-24 Stefano Lepri , Roberto Livi , Antonio Politi

We consider heat transport across a harmonic chain of charged particles, with transverse degrees of freedom, in the presence of a uniform magnetic field. For an open chain connected to heat baths at the two ends we obtain the nonequilibrium…

Statistical Mechanics · Physics 2021-12-22 Junaid Bhat , Gaëtan Cane , Cédric Bernardin , Abhishek Dhar

In the present communication we consider the one-dimensional (1D) isotopically disordered lattice with the harmonic potential. Our analytical method is adequate for any 1D lattice where potential energy can be presented as the quadratic…

Disordered Systems and Neural Networks · Physics 2007-05-23 Vladimir N. Likhachev , Juraj Szavits-Nossan , George A. Vinogradov

An efficient implementation of the nonequilibrium Green function (NEGF) method combined with the density functional theory (DFT) using localized pseudo-atomic orbitals (PAOs) is presented for electronic transport calculations of a system…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Taisuke Ozaki , Kengo Nishio , Hiori Kino

The interface between a heavy electron coherent metallic phase and an incoherent normal metal phase is discussed. The Fermi momentum mismatch between the two phases causes the carriers to scatter at the interface. The interface conductance…

Strongly Correlated Electrons · Physics 2009-11-11 M. A. N. Araujo , A. H. Castro Neto

Since the initial development of one-dimensional electron gases (1DEG) two decades ago, there has been intense interest in both the fundamental physics and the potential applications, including quantum computation, of these quantum…

Mesoscale and Nanoscale Physics · Physics 2009-10-02 Raphael Rosen