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Transport and thermodynamic properties of disordered conductors are considerably modified when the angle through which the electron spin precesses due to spin-orbit interaction (SOI) during the mean free time becomes significant. Cooperon…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Yuli Lyanda-Geller

Transport through a one-dimensional wire of interacting electrons connected to semi infinite leads is investigated using a bosonization approach. The dynamic nonlocal conductivity is rigorously expressed in terms of the transmission. For…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 Inès Safi , H. J. Schulz

We investigate how two-particle interactions affect the electronic transport through meso- and nanoscopic systems of two different types: quantum dots with local Coulomb correlations and quasi one-dimensional quantum wires of interacting…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 V. Meden

The nonlinear conductance of a one-dimensional quantum wire adiabatically coupled to Fermi Liquid electron reservoirs is determined in presence of an impurity. We show that electron-electron interaction in connection with the finite length…

Strongly Correlated Electrons · Physics 2007-05-23 Fabrizio Dolcini , Hermann Grabert , Ines Safi , Bjoern Trauzettel

We calculate the density of states for an interacting quantum wire in the presence two impurities of arbitrary potential strength. To perform this calculation, we describe the Coulomb interactions in the wire within the Tomonaga-Luttinger…

Mesoscale and Nanoscale Physics · Physics 2014-08-12 R. Zamoum , M. Guigou , C. Bena , A. Crépieux

A quantum impurity attached to an interacting quantum wire gives rise to an array of of new phenomena. Using Bethe Ansatz we solve exactly models describing two geometries of a quantum dot coupled to an interacting quantum wire: a quantum…

Strongly Correlated Electrons · Physics 2018-04-25 Colin Rylands , Natan Andrei

We analyze the behavior of the four-terminal resistance, relative to the two-terminal resistance of an interacting quantum wire with an impurity, taking into account the invasiveness of the voltage probes. We consider a one-dimensional…

Mesoscale and Nanoscale Physics · Physics 2011-11-22 Hugo Aita , Liliana Arrachea , Carlos Naón

We study the effects of external impurities on the shell structure in semiconductor quantum dots by using a fast response-function method for solving the Kohn-Sham equations. We perform statistics of the addition energies up to 20…

Strongly Correlated Electrons · Physics 2009-11-10 M. Aichinger , E. Rasanen

The boundary modes of one dimensional quantum systems can play host to a variety of remarkable phenomena. They can be used to describe the physics of impurities in higher dimensional systems, such as the ubiquitous Kondo effect or can…

Strongly Correlated Electrons · Physics 2020-02-24 Colin Rylands

We consider the effect of electron-electron interaction on the electron transport through a finite length single-mode quantum wire with reflectionless contacts. The two-particle scattering events cannot alter the electric current and…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Anders Mathias Lunde , Karsten Flensberg , Leonid I. Glazman

We study the effect of electron-electron interaction on the transport properties of short clean quantum wires adiabatically connected to reservoirs. Interactions lead to resonances in a multi-channel wire at particular values of the Fermi…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Anders Mathias Lunde , Karsten Flensberg , Leonid I. Glazman

We discuss the properties of interacting electrons on a finite chain with open boundary conditions. We extend the Haldane Luttinger liquid description to these systems and study how the presence of the boundaries modifies various…

Condensed Matter · Physics 2009-10-28 M. Fabrizio , Alexander O. Gogolin

We theoretically study the effect of electron-electron interactions in one-dimensional partially mixed helical states. These helical states can be realized at the edges of two-dimensional topological insulators with partially broken…

Strongly Correlated Electrons · Physics 2025-01-03 Zeinab Bakhshipour , Mir Vahid Hosseini

The effect of electron-optical phonon interaction on the hydrogenic impurity binding energy in a cylindrical quantum wire is studied. By using Landau and Pekar variational method, the hamiltonian is separated into two parts which contain…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yueh-Nan Chen , Der-San Chuu , Yuh-Kae Lin

This lecture is a tutorial introduction to coherent effects in disordered electronic systems. Avoiding technicalities as most as possible, I present some personal points of view to describe well-known signatures of phase coherence like weak…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Gilles Montambaux

We investigate a one-dimensional wire of interacting electrons connected to semi-infinite leads in the absence and in the presence of a backscattering potential. An incident electron on the clean wire is perfectly transmitted into spatially…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 I. Safi , H. J. Schulz

We study the transport properties of a long non-uniform quantum wire where the electron-electron interactions and the density vary smoothly at large length scales. We show that these inhomogeneities lead to a finite resistivity of the wire,…

Mesoscale and Nanoscale Physics · Physics 2008-04-08 J. Rech , K. A. Matveev

In these notes I review the basic concepts of the effects of interactions on quantum particles. I focuss here mostly on the case of fermions, but several aspects of interacting bosons are mentioned as well. These notes have been voluntarily…

Strongly Correlated Electrons · Physics 2010-07-08 Thierry Giamarchi

We theoretically study electron interference in a ballistic electronic interferometer capacitively coupled to a quantum dot. The visibility of the interference is reduced when the dot has degenerate ground states with different excess…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Seok-Chan Youn , Hyun-Woo Lee , H. -S. Sim

We theoretically consider the effects of having unintentional charged impurities in laterally coupled two-dimensional double (GaAs) quantum dot systems, where each dot contains one or two electrons and a single charged impurity in the…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Nga T. T. Nguyen , S. Das Sarma