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We study the low-temperature low-frequency conductivity sigma of an interacting one dimensional electron system in the presence of a periodic potential. The conductivity is strongly influenced by conservation laws, which, we argue, need be…

Strongly Correlated Electrons · Physics 2009-10-31 A. Rosch , N. Andrei

The electrophysical properties of quasi-one-dimensional conductors with a charge-density wave change qualitatively upon a decrease in their transverse sizes. A brief review of various finite-size effects and the present-day knowledge of…

Mesoscale and Nanoscale Physics · Physics 2011-07-25 S. V. Zaitsev-Zotov

We derive an analytical expression for the longitudinal magnetoconductivity $\sigma_{zz}$ in layered conductors in presence of a quantizing magnetic field perpendicular to the layers and for short-range in-plane impurity scattering in frame…

Condensed Matter · Physics 2009-11-07 T. Champel , V. P. Mineev

We briefly review some basic aspects of transport in clean metals focusing on the role of electron-electron interactions and neglecting the effects of impurities, phonons and interband transitions. Both for small Fermi surfaces of two and…

Strongly Correlated Electrons · Physics 2007-05-23 A. Rosch

A discrete charge transfer in a small tunnel junction where Coulomb interactions are important can excite electron-hole pairs near the Fermi level. We use a simple model to study the associated nonequilibrium properties and found two novel…

Condensed Matter · Physics 2007-05-23 F. Guinea , M. Ueda

The electrical conductivity is calculated for regular inhomogeneous two component isotropic medium in which droplets of one phase with conductivity sigma_2 are embedded in another, with conductivity sigma_1. An expression is formulated…

Statistical Mechanics · Physics 2007-05-23 V. V. Kabanov , K. Zagar , D. Mihailovic

Superconductivity was originally observed in 3D metals caused by an effective attraction between electrons mediated by the electron-phonon interaction. Since then there has been a lot of work on 2D conductors including the possibility of…

Mesoscale and Nanoscale Physics · Physics 2022-01-19 Supriyo Datta

Logarithmic voltage profile characteristic to two-dimensional current flows has been reported for several semiconductor surfaces. We analyse this phenomenon within a simple model of accumulation and inversion layers. Prompted by numerical…

Mesoscale and Nanoscale Physics · Physics 2015-12-23 Jakub Lis

Homogenized laws for sequences of high-contrast two-phase non-symmetric conductivities perturbed by a parameter $h$ are derived in two and three dimensions. The parameter $h$ characterizes the antisymmetric part of the conductivity for an…

Analysis of PDEs · Mathematics 2011-12-20 Marc Briane , Laurent Pater

We report a giant inverse proximity effect that arises in the low-dimensional devices and is crucially different from proximity in the standard superconductor-normal-superconductor (S/N/S) junctions. The normal conductors induce a giant…

Mesoscale and Nanoscale Physics · Physics 2014-02-07 N. B. Kopnin , A. S. Mel'nikov , I. A. Sadovskyy , V. M. Vinokur

An analytic theory is developed for the diagonal conductivity $\sigma_{xx}$ of a 2D conductor which takes account of the localized states in the broaden Landau levels. In the low-field region $\sigma_{xx}$ display the Shubnikov-de Haas…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 V. M. Gvozdikov

We consider the role of the third dimension in the conductivity of a quasi 2D electron gas. If the transverse correlation radius of the scattering potential is smaller than the width of the channel, i.e. the width of the transverse electron…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Levanda , V. Fleurov

Electrons in conductors suffer frequent scatterings with defects and phonons, and the diffusive macroscopic behaviors are determined by an external electric field through Ohms law. If electrons are no longer diffusive, the Ohmic description…

We consider conductivities of two-dimensional lattice electrons in a magnetic field. We focus on systems where the flux per plaquette $\phi$ is irrational (incommensurate flux). To realize the system with the incommensurate flux, we…

Condensed Matter · Physics 2009-10-28 Masahito Takahashi , Yasuhiro Hatsugai , Mahito Kohmoto

We report electrical conductivity $\sigma$ measurements on a range of two-dimensional electron gases (2DEGs) of varying linear extent. Intriguingly, at low temperatures ($T$) and low carrier density ($n_{\mathrm{s}}$) we find the behavior…

Mesoscale and Nanoscale Physics · Physics 2016-05-25 Dirk Backes , Richard Hall , Michael Pepper , Harvey Beere , David Ritchie , Vijay Narayan

We argue that the a.c. conductivity $\sigma(\omega)$ in the many-body localized phase is a power law of frequency $\omega$ at low frequency: specifically, $\sigma(\omega) \sim \omega^\alpha$ with the exponent $\alpha$ approaching 1 at the…

Disordered Systems and Neural Networks · Physics 2015-09-16 Sarang Gopalakrishnan , Markus Mueller , Vedika Khemani , Michael Knap , Eugene Demler , David A. Huse

An inhomogeneous superconducting ring placed in a magnetic field is considered. It is shown that the superconducting transition of the section with lowest critical temperature may be a first order phase transition if the magnetic flux…

Superconductivity · Physics 2007-05-23 A. V. Nikulov , I. N. Zhilyaev

The Hamiltonian describing a conductor surrounding an external magnetic field contains a nonvanishing vector potential in the volume accessible to the electrons and nuclei of which the conductor is made. That vector potential cannot be…

Quantum Physics · Physics 2009-10-28 Murray Peshkin

In a series of recent experiments, Kravchenko and colleagues observed unexpectedly that a two-dimensional electron gas in zero magnetic field can be a conductor. The two-dimensionality was imposed by confining the electron gas to move…

Strongly Correlated Electrons · Physics 2009-10-30 Philip Phillips , Yi Wan , Ivar Martin , Sergey Knysh , Denis Dalidovich

Low-dimensional organic conductors could establish themselves as model systems for the investigation of the physics in reduced dimensions. In the metallic state of a one-dimensional solid, Fermi-liquid theory breaks down and spin and charge…

Strongly Correlated Electrons · Physics 2007-11-08 Martin Dressel
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