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This paper presents a method for determining the conductance matrix of multi terminal semiconductor structures with edge channels. This method appears to be applied within frameworks of the ordinary Landauer - uttiker formalism for the…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 E. Yu. Danilovskii , N. T. Bagraev

To apply the scattering approach for the problem of AC transport through coherent quantum conductors, various partial density of states must be evaluated. If the global partial density of states (GPDOS) is calculated externally using the…

Condensed Matter · Physics 2007-05-23 Jian Wang , Qingrong Zheng , Hong Guo

We report a theory for analyzing nonlinear DC transport properties of mesoscopic or nanoscopic normal-superconducting (N-S) systems. Special attention was paid such that our theory satisfies gauge invariance. At the linear transport regime…

Condensed Matter · Physics 2009-10-31 Jian Wang , Yadong Wei , Hong Guo , Qing-feng Sun , Tsung-han Lin

Using the tools of random matrix theory we develop a statistical analysis of the transport properties of thermoelectric low-dimensional systems made of two electron reservoirs set at different temperatures and chemical potentials, and…

Mesoscale and Nanoscale Physics · Physics 2016-08-23 Adel Abbout , Henni Ouerdane , Christophe Goupil

We compute the DC conductance with two different methods, which both exploit the integrability of the theories under consideration. On one hand we determine the conductance through a defect by means of the thermodynamic Bethe ansatz and…

High Energy Physics - Theory · Physics 2009-11-07 Olalla Castro-Alvaredo , Andreas Fring

We study electronic transport in a Luttinger liquid (LL) with an embedded impurity, which is either a weak scatterer (WS) or a weak link (WL), when interacting electrons are coupled to one-dimensional massless bosons (e.g., acoustic…

Strongly Correlated Electrons · Physics 2013-04-02 Igor V. Yurkevich , Alexey Galda , Oleg M. Yevtushenko , Igor V. Lerner

We study mesoscopic transport in the Q1D wires and rings made of a 2D conductor of width W and length L >> W. Our aim is to compare an impurity-free conductor with grain boundaries with a grain-free conductor with impurity disorder. A…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 J. Feilhauer , M. Mosko

Quantum transport in disordered magnetic fields is investigated numerically in two-dimensional systems. In particular, the case where the mean and the fluctuation of disordered magnetic fields are of the same order is considered. It is…

Disordered Systems and Neural Networks · Physics 2009-11-10 Tohru Kawarabayashi , Tomi Ohtsuki

Charge transport through molecular junctions is often described either as a purely coherent or a purely classical phenomenon, and described using the Landauer-B\"uttiker formalism or Marcus theory, respectively. Using a generalised quantum…

Mesoscale and Nanoscale Physics · Physics 2018-10-23 Jakub K. Sowa , Jan A. Mol , G. Andrew D. Briggs , Erik M. Gauger

Kubo formula is used to get the d.c conductance of a statistical ensemble of two-dimensional clusters of the square lattice in the presence of standard diagonal disorder, a uniform magnetic field and random magnetic fluxes. Working within a…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 J. A. Verges

We consider the ballistic transport of quasiparticles with exclusion statistics through a 1D wire within the Landauer-Buttiker approach. We demonstrate that quasiparticle transport coefficients (electrical and heat conductance, as well as…

Condensed Matter · Physics 2009-10-31 I. V. Krive , E. R. Mucciolo

We study the transport properties of three Luttinger liquid wires (with possibly different interaction strength), connected through a Y-junction, within the scattering state formalism. We first formulate the problem in current algebra…

Strongly Correlated Electrons · Physics 2011-10-18 D. N. Aristov , P. Wölfle

The interplay of Umklapp scattering from a periodic potential and other scattering processes determine the conductivity of (quasi) one-dimensional metals. We show that the transport at finite temperature is qualitatively and quantitatively…

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

We establish the equivalence between the problem of a solitary potential scatterer in a Luttinger liquid of spinless repulsive fermions and an anisotropic Kondo model where the value of the impurity spin id determined by the scaling…

Condensed Matter · Physics 2008-02-03 A. M. Tsvelik

We prove that a diagrammatic evaluation of the Kubo formula for the electronic transport conductivity due the exchange of bosonic excitations, in the usual conserving ladder approximation, yields a result consistent with the Boltzmann…

Statistical Mechanics · Physics 2015-05-13 D. Belitz , T. R. Kirkpatrick

The Landauer approach provides a conceptually simple way to calculate the intrinsic thermoelectric (TE) parameters of materials from the ballistic to the diffusive transport regime. This method relies on the calculation of the number of…

Mesoscale and Nanoscale Physics · Physics 2011-10-18 Abhijeet Paul , Shuaib Salamat , Changwook Jeong , Gerhard Klimeck , Mark Lundstrom

A quantum kinetic theory of the linear response to an electric field is provided from a controlled expansion of the Keldysh theory at leading order, for a multiband electron system with weak scalar disorder. The response is uniquely…

Mesoscale and Nanoscale Physics · Physics 2025-02-06 Thierry Valet , Roberto Raimondi

The electrical current through an arbitrary junction connecting quantum wires of spinless interacting fermions is calculated in fermionic representation. The wires are adiabatically attached to two reservoirs at chemical potentials…

Strongly Correlated Electrons · Physics 2014-12-09 D. N. Aristov , P. Wölfle

Scattering theory is a standard tool for the description of transport phenomena in mesoscopic systems. Here, we provide a detailed derivation of this method for nano-scale conductors that are driven by oscillating electric or magnetic…

Statistical Mechanics · Physics 2020-06-01 Kay Brandner

The linear transport theory is developed to describe the time dependence of the number density of tracer particles in porous media. The advection is taken into account. The transport equation is numerically solved by the analytical discrete…

Computational Physics · Physics 2020-05-26 Kenji Amagai , Yuko Hatano , Manabu Machida
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