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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

We consider the problem of electron transport across a quasi-one-dimensional disordered multiply-scattering medium, and study the statistical properties of the electron density inside the system. In the physical setup that we contemplate,…

Disordered Systems and Neural Networks · Physics 2020-01-29 Pier A. Mello , Miztli Yépez

We examine the effect of structural disorder and dynamical lattice fluctuation on charge migration dynamics starting from a birth of local exciton in a quantum network of molecular aggregates by using model Hamiltonians having complicate…

Chemical Physics · Physics 2020-04-01 Takehiro Yonehara

The wide-band limit is a commonly used approximation to analyze transport through nanoscale devices. In this work we investigate its applicability to the study of charge and heat transport through molecular break junctions exposed to…

Mesoscale and Nanoscale Physics · Physics 2018-05-15 F. Covito , F. G. Eich , R. Tuovinen , M. A. Sentef , A. Rubio

We report a first-principles study of static transport of localized waves in quasi-one-dimensional open media. We found that such transport, dominated by disorder-induced resonant transmissions, displays novel diffusive behavior. Our…

Disordered Systems and Neural Networks · Physics 2015-05-18 Chu-Shun Tian , Sai-Kit Cheung , Zhao-Qing Zhang

We apply dynamical mean field theory to study a prototypical model that describes charge ordering in the presence of both electron-lattice interactions and intersite electrostatic repulsion between electrons. We calculate the optical and…

Strongly Correlated Electrons · Physics 2009-11-13 S. Ciuchi , S. Fratini

We study thermal fluctuation corrections to charge and heat conductivity in systems with locally conserved energy and charge, but without locally conserved momentum. Thermal fluctuations may naturally lead to a lower bound on diffusion…

Statistical Mechanics · Physics 2015-07-22 Pavel Kovtun

Transport in strongly-disordered, metallic systems is governed by diffusive processes. Based on quantum mechanics, it has been conjectured that these diffusivities obey a lower bound $D/v^2\gtrsim \hbar/k_B T$, the saturation of which…

High Energy Physics - Theory · Physics 2017-05-19 Matteo Baggioli , Blaise Goutéraux , Elias Kiritsis , Wei-Jia Li

We present a general phase-space kinetic model for charged particle transport through combined localised and delocalised states, capable of describing scattering collisions, trapping, detrapping and losses. The model is described by a…

Statistical Mechanics · Physics 2016-09-14 Peter W. Stokes , Bronson Philippa , Daniel Cocks , Ronald D. White

Using the supersymmetry technique, we study the localization-delocalization transition in quasi-one-dimensional non-Hermitian systems with a direction. In contrast to chains, our model captures the diffusive character of carriers' motion at…

Disordered Systems and Neural Networks · Physics 2009-10-31 A. V. Kolesnikov , K. B. Efetov

Transport in Hamiltonian systems with weak chaotic perturbations has been much studied in the past. In this paper, we introduce a new class of problems: transport in Hamiltonian systems with slowly changing phase space structure that are…

Chaotic Dynamics · Physics 2019-10-02 Freddy Bouchet , Eric Woillez

Electronic transport in narrow gap semiconductors is characterized by spontaneous vertical transitions between carriers in the valence and conduction bands, a phenomenon also known as Zener tunneling. However, this effect is not captured by…

Materials Science · Physics 2021-04-21 Andrea Cepellotti , Boris Kozinsky

Kohn's theory of Drude conductivity, established in a many-body framework, addresses even systems with disorder and correlation, besides the ordinary band metals (i.e. crystalline systems of independent electrons). Kohn's theory is here…

Materials Science · Physics 2021-11-25 Raffaele Resta

Ballistic transport of electrons through a quantum wire with a constriction is studied in terms of Bohm's interpretation of quantum mechanics, in which the concept of a particle orbit is permitted. The classical bouncing ball trajectories,…

Condensed Matter · Physics 2015-06-25 Hua Wu , D. W. L. Sprung

We study the quantum transport through networks of diffusive wires connected to reservoirs in the Landauer-B\"uttiker formalism. The elements of the conductance matrix are computed by the diagrammatic method. We recover the combination of…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Christophe Texier , Gilles Montambaux

A theory of spin-polarized electron transport in ferromagnet/semiconductor heterostructures, based on a unified semiclassical description of ballistic and diffusive transport in semiconductor structures, is developed. The aim is to provide…

Materials Science · Physics 2009-11-11 R. Lipperheide , U. Wille

The present paper gives an elaborate theoretical description of a new molecular charge transport mechanism applying to a single molecule trapped between two macroscopic electrodes in a solid state device. It is shown by a Hubbard type model…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Per Hedegard , Thomas Bjornholm

The behavior of a Bloch particle in a complex crystal with PT symmetry subjected to a sinusoidal ac force is theoretically investigated. For unbroken PT symmetry and in the single-band approximation, it is shown that time reversal symmetry…

Quantum Physics · Physics 2010-01-08 S. Longhi

The specific problem we address in these lectures is the problem of transport and localization in disordered systems, when interference is present, as characteristic for waves, with a focus on realizations with ultracold atoms.

Disordered Systems and Neural Networks · Physics 2016-06-02 Cord A. Müller , Dominique Delande

A set of equations is derived from the Boltzmann kinetic equation describing charge transport in semiconductors. The unknowns of these equations depend on the space-time coordinates and the electron energy. The non-parabolic and parabolic…

Statistical Mechanics · Physics 2007-05-23 S. F. Liotta , A. Majorana
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