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Motivated by the recent experimental and theoretical progresses in the exploration of the effect of disorder in interacting system, we examine the effect of two types of correlated disorder, the quasi-periodic potential and speckle disorder…

Quantum Gases · Physics 2021-02-03 Guangcun Liu

In this work we investigate the Wigner localization of two interacting electrons at very low density in two and three dimensions using the exact diagonalization of the many-body Hamiltonian. We use our recently developed method based on…

Strongly Correlated Electrons · Physics 2021-10-13 Miguel Escobar Azor , Estefania Alves , Stefano Evangelisti , J. Arjan Berger

We study electronic transport properties of disordered polymers in the presence of both uncorrelated and short-range correlated impurities. In our procedure, the actual physical potential acting upon the electrons is replaced by a set of…

Condensed Matter · Physics 2009-10-22 Francisco Dominguez-Adame , Enrique Diez , Angel Sanchez

The weak localization (WL) contribution to the two-level correlation function is calculated for two-dimensional disordered conductors. Our analysis extends to the nondiffusive (ballistic) regime, where the elastic mean path is of order of…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Assaf Ater , Oded Agam

We derive a local approximation for the correlation energy in two-dimensional electronic systems. In the derivation we follow the scheme originally developed by Colle and Salvetti for three dimensions, and consider a Gaussian approximation…

Strongly Correlated Electrons · Physics 2008-11-21 S. Pittalis , E. Rasanen , M. Marques

The present work discusses the possibility to realize correlated disorder in electrical circuits and studies the localization phenomena in terms of two-port impedance. The correlated disorder is incorporated using the Aubry-Andr\'{e}-Harper…

Disordered Systems and Neural Networks · Physics 2023-10-16 Sudin Ganguly , Santanu K. Maiti

Electrons on a square lattice with half a flux quantum per plaquette are considered. An effective description for the current loops is given by a two-dimensional Dirac theory with random mass. It is shown that the conductivity and the…

Condensed Matter · Physics 2009-10-28 K. Ziegler

The zero temperature localization of interacting electrons coupled to a two-dimensional quenched random potential, and constrained to move on a fluctuating one-dimensional string embedded in the disordered plane, is studied using a…

Strongly Correlated Electrons · Physics 2009-11-11 U. London , T. Giamarchi , D. Orgad

A comparative analysis of experimental data on electron transport in Si (100) MOSFETs in the region of high mobilities and strong electronelectron interaction is carried out. It is shown that electrons can be described by the model of a…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 V. T. Dolgopolov

Quantum transport properties through some multilevel quantum dots sandwiched between two metallic contacts are investigated by the use of Green's function technique. Here we do parametric calculations, based on the tight-binding model, to…

Mesoscale and Nanoscale Physics · Physics 2009-11-06 Santanu K. Maiti

We theoretically study transport in two-dimensional semimetals. Typically, electron and hole puddles emerge in the transport layer of these systems due to smooth fluctuations in the potential. We calculate the electric response of the…

Mesoscale and Nanoscale Physics · Physics 2014-10-29 Michael Knap , Jay D. Sau , Bertrand I. Halperin , Eugene Demler

We calculate the dynamic effective electron-electron interaction potential for a low density disordered two-dimensional electron gas. The disordered response function is used to calculate the effective potential where the scattering rate is…

Strongly Correlated Electrons · Physics 2009-10-31 J. S. Thakur , D. Neilson

We report on the experimental study of electron transport in sub-micron-wide ''wires'' fabricated from Si $\delta $-doped GaAs. These quasi-one-dimensional (Q1D) conductors demonstrate the crossover from weak to strong localization with…

Disordered Systems and Neural Networks · Physics 2009-10-31 Yu. B. Khavin , M. E. Gershenson , A. L. Bogdanov

We studied effects of random potentials and roles of electron-electron interactions in the gapless phase of coupled Hubbard chains, using a renormalization group technique. For non-interacting electrons, we obtained the localization length…

Strongly Correlated Electrons · Physics 2009-10-31 Hiroyuki Mori

Dynamical conductivity in a disordered one-dimensional model of interacting fermions is studied numerically at high temperatures and in the weak-interaction regime in order to find a signature of many-body localization and vanishing d.c.…

Strongly Correlated Electrons · Physics 2015-05-19 O. S. Barišić , P. Prelovšek

We study the effect of electron-electron interaction on a two dimensional (2D) disordered lattice. For the case of two electrons the analytical estimates are presented showing a transition from localized to delocalized states in a way…

Condensed Matter · Physics 2017-09-27 Dima L. Shepelyansky , Pil Hun Song

We calculate the correlator of the local density of states <\rho_{E}(r_1)\rho_{E+\omega}(r_2)> in quasi-one-dimensional disordered wires in a magnetic field, assuming that |r_1-r_2| is much smaller than the localization length. This amounts…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 M. A. Skvortsov , P. M. Ostrovsky

The problem of interacting electrons moving under the influence of a strong magnetic field in two dimensions on a finite disk is reconsidered. First, the results of exact diagonalizations for up to $N=9$ electrons for Coulomb as well as for…

Condensed Matter · Physics 2009-10-22 M. Kasner , W. Apel

The spectral properties of up to four interacting electrons confined within a quasi one--dimensional system of finite length are determined by numerical diagonalization including the spin degree of freedom. The ground state energy is…

Condensed Matter · Physics 2009-10-22 Wolfgang Haeusler , Bernhard Kramer , PTB Braunschweig

Transport through a one--dimensional wire of interacting electrons connected to semi--infinite leads is investigated using a bosonization approach. An incident electron is transmitted as a sequence of partial charges. The dc conductance is…

Condensed Matter · Physics 2009-10-28 I. Safi , H. J. Schulz