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The multiple scattering model of a quantum particle in a random Lorentz gas consisting of fixed point scatterers is considered in arbitrary dimension. An efficient method is developed to numerically compute the map of the density of…

Quantum Physics · Physics 2022-05-11 David Gaspard , Jean-Marc Sparenberg

The propagation of a spherical wave through a two-dimensional random Lorentz gas composed of small fixed scatterers is studied. Inspired by the Mott problem (how an initially isotropic quantum wave can give rise to a single particle-like…

Quantum Physics · Physics 2026-03-16 Baptiste Lorent , Jean-Marc Sparenberg , David Gaspard

The conductance of one-dimensional interacting electron systems is calculated in a manner similar to Landauer's argument for non-interacting systems. Unlike in previous studies in which the Kubo formula was used, the conductance is directly…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Akira Shimizu

A thermoelectric effect of the noncentrosymmetric electron-phonon coupled system is proposed, in which a temperature difference between electrons and phonons, instead of a spatial temperature gradient, induces an electric current. This is a…

Mesoscale and Nanoscale Physics · Physics 2021-10-27 Yugo Onishi , Hiroki Isobe , Naoto Nagaosa

The influence of substitutional disorder on the transport properties of heavy-fermion systems is investigated. We extend the dynamical mean-field theory treatment of the periodic Anderson model (PAM) to a coherent-potential approximation…

Strongly Correlated Electrons · Physics 2008-03-25 Claas Grenzebach , Frithjof B. Anders , Gerd Czycholl , Thomas Pruschke

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

We investigate spectral correlations in quasi one-dimensional Anderson insulators with broken time-reversal symmetry. While energy levels are uncorrelated in the thermodynamic limit of infinite wire-length, some correlations remain in…

Disordered Systems and Neural Networks · Physics 2016-11-30 T. Micklitz

In this paper we investigate the effect of strong electronic interactions on the thermoelectric properties of a simple generic system, consisting of a single correlated layer sandwiched between two metallic leads. Results will be given for…

Strongly Correlated Electrons · Physics 2017-09-07 Irakli Titvinidze , Antonius Dorda , Wolfgang von der Linden , Enrico Arrigoni

We explore the nontrivial thermoelectric properties of two-dimensional topological systems. For the Chern insulator, we show that the Seebeck coefficient is fully determined by the Kelvin formula, while the Nernst coefficient vanishes. For…

Mesoscale and Nanoscale Physics · Physics 2025-03-03 Z. Z. Alisultanov , E. G. Idrisov , A. V. Kavokin

A one-parameter random matrix model is proposed for describing the statistics of the local amplitudes and phases of electron eigenfunctions in a mesoscopic quantum dot in an arbitrary magnetic field. Comparison of the statistics obtained…

Condensed Matter · Physics 2009-10-28 E. Kanzieper , V. Freilikher

We investigate a celebrated problem of one dimensional tight binding model in the presence of disorder leading to Anderson localization from a novel perspective. A binary disorder is assumed to be created by immobile heavy particles for the…

Quantum Gases · Physics 2015-08-11 Arkadiusz Kosior , Jan Major , Marcin Płodzień , Jakub Zakrzewski

We study the transport of an interacting Bose--Einstein condensate through a 1D correlated disorder potential. We use for this purpose the truncated Wigner method, which is, as we show, corresponding to the diagonal approximation of a…

Quantum Gases · Physics 2016-01-20 Julien Dujardin , Thomas Engl , Peter Schlagheck

We present a new model of electron transport in warm and hot dense plasmas which combines the quantum Landau-Fokker-Planck equation with the concept of mean-force scattering. We obtain electrical and thermal conductivities across several…

Plasma Physics · Physics 2020-05-27 Nathaniel R. Shaffer , Charles E. Starrett

We consider an electron interacting locally with two-level systems (TLSs) as an archetypal model for charge transport in the presence of inelastic scatterers. To assess the importance of quantum effects in the optical and d.c. conductivity…

Strongly Correlated Electrons · Physics 2025-09-25 Hadi Rammal , Sergio Ciuchi , Simone Fratini

According to the Anderson theorem, the critical temperature T_c of a disordered superconductor is determined by the average density of states and does not change at the localization threshold. This statement is valid under assumption of a…

Disordered Systems and Neural Networks · Physics 2014-02-12 I. M. Suslov

We consider the non-equilibrium zero frequency noise generated by a temperature gradient applied on a device composed of two normal leads separated by a quantum dot. We recall the derivation of the scattering theory for non-equilibrium…

Mesoscale and Nanoscale Physics · Physics 2022-03-14 A. Popoff , J. Rech , T. Jonckheere , L. Raymond , B. Grémaud , S. Malherbe , T. Martin

We study the electron transport in a deformable lattice modeled in the semiclassical approximation as a discrete nonlinear elastic chain where acoustic phonons are in thermal equilibrium at temperature T. We reveal that an effective dynamic…

Disordered Systems and Neural Networks · Physics 2018-08-29 A. V. Savin , Y. S. Kivshar , M. I. Molina

Connections between the electron eigenstates and conductivity of one-dimensional disordered electron systems is studied in the framework of the tight-binding model. We show that for weak disorder only part of the states exhibit resonant…

Mesoscale and Nanoscale Physics · Physics 2016-07-27 A. Eisenbach , Y. Bliokh , V. Freilkher , M. Kaveh , R. Berkovits

We consider the propagation of light beams through disordered lattices of coupled waveguides searching for Anderson localization and investigating the evolution of nonclassical properties of injected quantum states. We assume that the beam…

Quantum Physics · Physics 2022-03-02 Thais L. Silva , Wesley B. Cardoso , Ardiley T. Avelar , Jorge M. C. Malbouisson

The quest for efficient devices has fueled research in thermoelectric materials. In these materials, the goal is to maximize the Figure of Merit $ZT$. One of the components of this quantity is the Seebeck coefficient, which measures the…