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We study the effects of electron correlation on transport through an interacting region connected to multi-mode leads based on the perturbation expansion with respect to the inter-electron interaction. At zero temperature the conductance…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Yoshihide Tanaka , Akira Oguri , Hiroumi Ishii

We consider energy absorption in an externally driven complex system of noninteracting fermions with the chaotic underlying dynamics described by the unitary random matrices. In the absence of quantum interference the energy absorption rate…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. A. Skvortsov , D. M. Basko , V. E. Kravtsov

We develop a numerical technique to study Anderson localization in interacting electronic systems. The ground state of the disordered system is calculated with quantum Monte-Carlo simulations while the localization properties are extracted…

Disordered Systems and Neural Networks · Physics 2009-02-25 Genevieve Fleury , Xavier Waintal

We study the transport properties of a finite three dimensional disordered conductor, for both weak and strong scattering on impurities, employing the real-space Green function technique and related Landauer-type formula. The dirty metal is…

Disordered Systems and Neural Networks · Physics 2009-10-31 Branislav K. Nikolic , Philip B. Allen

A self-consistent theory of the frequency dependent diffusion coefficient for the Anderson localization problem is presented within the tight-binding model of non-interacting electrons on a lattice with randomly distributed on-site energy…

Disordered Systems and Neural Networks · Physics 2015-01-23 Johann Kroha

The Kubo formula for the conductance of classically chaotic systems is analyzed semiclassically, yielding simple expressions for the mean and the variance of the quantum interference terms. In contrast to earlier work, here times longer…

Condensed Matter · Physics 2016-08-31 Nathan Argaman

We introduce a performance-optimized method to simulate localization problems on bipartite tight-binding lattices. It combines an exact renormalization group step to reduce the sparseness of the original problem with the recursive Green's…

Disordered Systems and Neural Networks · Physics 2021-06-08 Martin Puschmann , Thomas Vojta

We present a scheme for calculating coherent electron transport in atomic-scale contacts. The method combines a formally exact Green's function formalism with a mean-field description of the electronic structure based on the Kohn-Sham…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 K. S. Thygesen , K. W. Jacobsen

We challenge two foundational principles of localization physics by analyzing conductance fluctuations in two dimensions with unprecedented precision: (i) the Thouless criterion, which defines localization as insensitivity to boundary…

Disordered Systems and Neural Networks · Physics 2026-03-03 Nyayabanta Swain , Shaffique Adam , Gabriel Lemarié

A statistical theory of the coupling between a quantum emitter and Anderson-localized cavity modes is presented based on a dyadic Green's function formalism. The probability of achieving the strong light-matter coupling regime is extracted…

Quantum Physics · Physics 2013-09-26 Henri Thyrrestrup , Stephan Smolka , Luca Sapienza , Peter Lodahl

We discuss a model of random segmented wire, with linear segments of 2D wires joined by circular bends. The joining vertices act as scatterers on the propagating electron waves. The model leads to resonant Anderson localization when all…

Mesoscale and Nanoscale Physics · Physics 2016-03-09 Cristian Estarellas , Llorenç Serra

The spatial non-locality (dispersion) of the transport equations results in a nonlinear dependence of the voltage drop $U$ on the distance between the points of measuring. Therefore the results of the usual two-probe measurements of the…

Disordered Systems and Neural Networks · Physics 2007-05-23 A. G. Groshev , S. G. Novokshonov

This note presents a method to reduce the discretization errors appearing when solving a Quantum Field Theory in a hypercubic lattice in both position and momentum-space. The method exploits the artifacts that break rotational symmetry to…

High Energy Physics - Lattice · Physics 2022-10-26 F. de Soto

In a recent publication, J. Phys.: Condens. Matt. 14 13777 (2002), Kuzovkov et. al. announced an analytical solution of the two-dimensional Anderson localisation problem via the calculation of a generalised Lyapunov exponent using signal…

Disordered Systems and Neural Networks · Physics 2009-11-10 P. Markoš , L. Schweitzer , M. Weyrauch

The infinite-U Anderson model is applied to transport through a quantum dot. The current and density of states are obtained via the non-crossing approximation for two spin-degenerate levels weakly coupled to two leads. At low temperatures,…

Condensed Matter · Physics 2009-10-22 Ned S. Wingreen , Yigal Meir

We show that a synthetic pseudospin-momentum coupling can be used to design quasi-one-dimensional disorder-resistant coupled resonator optical waveguides (CROW). In this structure, the propagating Bloch waves exhibit a pseudospin-momentum…

Optics · Physics 2019-06-12 JungYun Han , Clemens Gneiting , Daniel Leykam

Based on distributions of local Green's functions we present a stochastic approach to disordered systems. Specifically we address Anderson localisation and cluster effects in binary alloys. Taking Anderson localisation of Holstein polarons…

Strongly Correlated Electrons · Physics 2007-05-23 A. Alvermann , H. Fehske

The Anderson localization transition is considered at finite temperatures. This includes the electrical conductivity as well as the electronic thermal conductivity and the thermoelectric coefficients. An interesting critical behavior of the…

Disordered Systems and Neural Networks · Physics 2015-05-18 Yoseph Imry , Ariel Amir

This paper establishes dynamical localization properties of certain families of unitary random operators on the d-dimensional lattice in various regimes. These operators are generalizations of one-dimensional physical models of quantum…

Mathematical Physics · Physics 2015-05-13 Eman Hamza , Alain Joye , Günter Stolz

The Landauer transport formulation is generalized to the case of a dynamic scatterer with an arbitrary energy level structure, weakly coupled to a long ideal noninteracting wire. The two-terminal linear conductance of the device is…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Yoseph Imry , Ora Entin-Wohlman , Amnon Aharony