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We compute the transport properties of one dimensional interacting electrons, also known as a Luttinger liquid. We show that a renormalization group study allows to obtain the temperature dependence of the conductivity in an intermediate…

Strongly Correlated Electrons · Physics 2015-06-24 T. Giamarchi , T. Nattermann , P. Le Doussal

We revisit a model describing Seebeck effect on a weak link between two charge Kondo circuits, which has been proposed in the [Phys. Rev. B 97, 085403 (2018)]. We calculate the thermoelectric coefficients in the perturbation theory assuming…

Mesoscale and Nanoscale Physics · Physics 2022-10-25 T. K. T. Nguyen , M. N. Kiselev

Fermi liquid theory has been a foundation in understanding the electronic properties of materials. For weakly interacting two-dimensional (2D) electron or hole systems, electron-electron interactions are known to introduce quantum…

Strongly Correlated Electrons · Physics 2023-06-30 Arvind Shankar Kumar , Chieh-Wen Liu , Shuhao Liu , Loren N. Pfeiffer , Kenneth W. West , Alex Levchenko , Xuan P. A. Gao

We have combined the Boltzmann transport equation with an {\it ab initio} approach to compute the thermoelectric coefficients of semiconductors. Electron-phonon, ionized impurity, and electron-plasmon scattering rates have been taken into…

Materials Science · Physics 2018-10-26 Z. Wang , S. Wang , S. Obukhov , N. Vast , J. Sjakste , V. Tyuterev , N. Mingo

A nano-system in which electrons interact and in contact with Fermi leads gives rise to an effective one-body scattering which depends on the presence of other scatterers in the attached leads. This non local effect is a pure many-body…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yoichi Asada , Axel Freyn , Jean-Louis Pichard

The results of an experimental study of interaction quantum correction to the conductivity of two-dimensional electron gas in A$_3$B$_5$ semiconductor quantum well heterostructures are presented for a wide range of $T\tau$-parameter…

Disordered Systems and Neural Networks · Physics 2008-12-02 G. M. Minkov , A. A. Sherstobitov , A. V. Germanenko , O. E. Rut , V. A. Larionova , A. K. Bakarov , B. N. Zvonkov

Theory of the remote Coulomb impurity scattering in single--wall carbon nanotubes is developed within one--electron approximation. Boltzmann equation is solved within drift--diffusion model to obtain the tube conductivity. The conductivity…

Materials Science · Physics 2021-07-02 Alexey G. Petrov , Slava V. Rotkin

One-dimensional topological superconductors accommodate a pair of Majorana zero modes at their ends. In an interferometer containing such a topological superconductor, electron transport is significantly affected by the Majorana zero modes…

Mesoscale and Nanoscale Physics · Physics 2026-05-28 Kyosuke Mizuno , Yuto Takarabe , Yositake Takane

A new formalism to calculate the transmission coefficient t of electrons from a material L into the same material L through a barrier B is presented. The barrier B is arbitrary and can be metallic, semiconducting or insulating. The…

Materials Science · Physics 2009-10-31 Ingmar Riedel , Peter Zahn , Ingrid Mertig

The contribution of the electron-electron interaction to conductivity is analyzed step by step in gated GaAs/InGaAs/GaAs heterostructures with different starting disorder. We demonstrate that the diffusion theory works down to $k_F l\simeq…

Disordered Systems and Neural Networks · Physics 2008-12-02 G. M. Minkov , O. E. Rut , A. V. Germanenko , A. A. Sherstobitov , V. I. Shashkin , O. I. Khrykin , B. N. Zvonkov

In this expository article, we present a systematic formal derivation of the Kubo formula for the linear-response current due to a time-harmonic electric field applied to non-interacting, spinless charged particles in a finite volume in the…

Mathematical Physics · Physics 2023-08-15 Alexander B. Watson , Dionisios Margetis , Mitchell Luskin

Table of contents 1. Introduction 2. Non-Fermi-liquid features of Fermi liquids: 1D physics in higher dimensions 3. Dzyaloshinskii-Larkin solution of the Tomonaga-Luttinger model 4. Renormalization group for interacting fermions 5. Single…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Dmitrii L. Maslov

We show that in the linear response approximation only entropy provides coupling between thermal and electric phenomena. The dissipationless quantum currents -- magnetization, superconducting, persistent and topological edge currents -- do…

General Physics · Physics 2022-03-24 Andrei Sergeev , Michael Reizer

We present an interpolative method for describing coherent transport through an interacting quantum dot. The idea of the method is to construct an approximate electron self-energy which becomes exact both in the limits of weak and strong…

Mesoscale and Nanoscale Physics · Physics 2022-09-21 A. Levy Yeyati , A. Martin-Rodero , F. Flores

We study the temperature and gate voltage dependence of the conductance of the single electron transistor focusing on highly conducting devices. Electron tunneling is treated nonperturbatively by means of path integral Monte Carlo…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Georg Goeppert , Bruno Huepper , Hermann Grabert

We show that by computing the electron-impurity scattering rate at the first order via Fermi's golden rule, and assuming that the localized impurity potential is of Yukawa form, one obtains a wave vector transfer distribution which is…

Mesoscale and Nanoscale Physics · Physics 2018-11-14 Gionni Marchetti

On the basis of the Chalker-Coddington network model, a numerical and analytical study is made of the statistics of point-contact conductances for systems in the integer quantum Hall regime. In the Hall plateau region the point-contact…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Martin Janssen , Marcus Metzler , Martin R. Zirnbauer

The transmission of 2-keV electrons through a polyethylene terephthalate (PET) nanocapillary with a diameter of 800 nm and a length of 10 {\mu}m is studied. The transmitted electrons are detected using a microchannel plate (MCP) with a…

We study the conductance through finite Aharonov-Bohm rings of interacting electrons weakly coupled to non-interacting leads at two arbitrary sites. This model can describe an array of quantum dots with a large charging energy compared to…

Strongly Correlated Electrons · Physics 2009-10-15 Julián Rincón , A. A. Aligia , K. Hallberg

Suppression of electron current $ \Delta I$ through a 1D channel of length $L$ connecting two Fermi liquid reservoirs is studied taking into account the Umklapp electron-electron interaction induced by a periodic potential. This interaction…

Strongly Correlated Electrons · Physics 2009-10-30 Vadim Ponomarenko , Naoto Nagaosa
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