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We propose and study theoretically a new mechanism of electron-impurity scattering in doped seminconductors with large dielectric constant. It is based upon the idea of \textit{vector} character of deformations caused in the crystalline…

Mesoscale and Nanoscale Physics · Physics 2022-09-26 Khachatur G. Nazaryan , Mikhail Feigel'man

The presence of electron-electron interactions in one dimension profoundly changes the properties of a system. The separation of charge and spin degrees of freedom is just one example. We consider what happens when a system consisting of a…

Strongly Correlated Electrons · Physics 2011-07-19 Nicholas Sedlmayr , Sebastian Eggert , Jesko Sirker

We show that the dc conductance of a quantum wire containing a Luttinger liquid and attached to non-interacting leads is given by $e^2/h$ per spin orientation, regardless of the interactions in the wire. This explains the recent…

Condensed Matter · Physics 2009-10-28 Dmitrii L. Maslov , Michael Stone

Two-dimensional arrays of nonlinear electric oscillators are considered theoretically, where nearest neighbors are coupled by relatively small, constant, but non-equal capacitors. The dynamics is approximately reduced to a weakly…

Pattern Formation and Solitons · Physics 2020-07-09 Victor P. Ruban

We study the spectral density function of a two-dimensional electron liquid in a weak magnetic field, the filling factor $\nu\gg 1$. A hydrodynamic model for low-energy excitations of the liquid is developed. It is found that even at…

Condensed Matter · Physics 2016-08-31 I. L. Aleiner , H. U. Baranger , L. I. Glazman

We demonstrate that electrostatic interactions between helical electrons at the edge of a quantum spin Hall insulator and a dynamical impurity can induce quasi-elastic backscattering. Modelling the impurity as a two-level system, we show…

Mesoscale and Nanoscale Physics · Physics 2021-07-07 Max McGinley , Nigel R. Cooper

Transport properties of narrow two-dimensional conducting wires in which the electron scattering is caused by side edges' roughness have been studied. The method for calculating dynamic characteristics of such conductors is proposed which…

Mesoscale and Nanoscale Physics · Physics 2013-02-01 N. M. Makarov , Yu. V. Tarasov

Luttinger liquid behavior was observed in a crossed junction formed with two metallic multi-wall carbon nanotubes whose differential conductance vanished with the power of bias voltage and temperature. With applying constant voltage or…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Jinhee Kim , Kicheon Kang , Jeong-O Lee , Kyung-Hwa Yoo , Jae-Ryoung Kim , Jong Wan Park , Hye Mi So , Ju-Jin Kim

We consider the problem of electron transport along a one-dimensional disordered multiple-scattering conductor, and study the electron density for all the electronic levels. A model is proposed for the reduced density matrix of the system…

Disordered Systems and Neural Networks · Physics 2023-03-14 Gerardo Rivas , Miztli Yepez , Pier A. Mello

The conductance of ballistic graphene at the neutrality point is due to coherent electron tunneling between the leads, the so called pseudodiffusive regime. The conductance scales as function of the sample dimensions in the same way as in a…

Mesoscale and Nanoscale Physics · Physics 2014-09-17 F. Guinea , M. I. Katsnelson

The temperature-dependent nonlinear conductance for transport of a Luttinger liquid through a barrier is calculated in the nonperturbative regime for $g=1/2-\epsilon$, where $g$ is the dimensionless interaction constant. To describe the…

Condensed Matter · Physics 2009-10-28 Ulrich Weiss , Reinhold Egger , Maura Sassetti

We study the conductance of a quantum wire in the presence of weak electron-electron scattering. In a sufficiently long wire the scattering leads to full equilibration of the electron distribution function in the frame moving with the…

Mesoscale and Nanoscale Physics · Physics 2009-03-19 J. Rech , T. Micklitz , K. A. Matveev

We develop a detailed microscopic analysis of electron transport in normal diffusive conductors in the presence of proximity induced superconducting correlation. We calculated the linear conductance of the system, the profile of the…

Condensed Matter · Physics 2009-10-28 A. A. Golubov , F. K. Wilhelm , A. D. Zaikin

We study a homogeneous Tomonaga-Luttinger liquid with backscattering potential. A perturbative computation of the conductance at and near resonance is given. We find that the backscattering of one electron dominates that of two electrons…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Ines Safi

We study transport properties of weakly interacting spinless electrons in one-dimensional single channel quantum wires. The effects of interaction manifest as three-particle collisions due to the severe constraints imposed by the…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Alex Levchenko , Zoran Ristivojevic , Tobias Micklitz

Electronically gated bilayer graphene behaves as a tunable gap semiconductor under a uniform interlayer bias $V_{g}$. Imposing a spatially varying bias, which changes polarity from $-V_g$ to $+V_g$, leads to one dimensional (1D) chiral…

Strongly Correlated Electrons · Physics 2015-05-18 Matthew Killi , Tzu-Chieh Wei , Ian Affleck , Arun Paramekanti

We study the out-of-equilibrium transport in a Tomonaga-Luttinger liquid containing a weak or a tunneling barrier coupled to an arbitrary electromagnetic environment. This applies as well to a coherent one-channel non-interacting conductor…

Mesoscale and Nanoscale Physics · Physics 2013-11-26 J. -R. Souquet , I. Safi , P. Simon

We investigate how the different velocities characterizing the low-energy spectral properties and the low-temperature thermodynamics of one-dimensional correlated electron systems (Luttinger liquids) affect the transport properties of…

Strongly Correlated Electrons · Physics 2009-11-13 S. Friederich , V. Meden

An analytical study of the low-field magnetoresistance of a two-dimensional electron gas subject to a weak periodic modulation is presented. We assume small-angle impurity scattering characteristic for high-mobility semiconductor…

Disordered Systems and Neural Networks · Physics 2009-10-31 A. D. Mirlin , E. Tsitsishvili , P. Woelfle

We develop a theory of thermal transport of weakly interacting electrons in quantum wires. Unlike higher-dimensional systems, a one-dimensional electron gas requires three-particle collisions for energy relaxation. The fastest relaxation is…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Alex Levchenko , Tobias Micklitz , Zoran Ristivojevic , K. A. Matveev