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We show that the distribution of the conductance in quasi-one-dimensional systems with surface disorder is correctly described by the Dorokhov-Mello-Pereyra-Kumar equation if one includes direct processes in the scattering matrix S through…

Disordered Systems and Neural Networks · Physics 2007-05-23 M. Martinez-Mares , G. Akguc , R. A. Mendez-Sanchez

Electronic transport properties of the disordered quantum wires are considered. The disorder is introduced via impurities (point scatterers), distributed uniformly over the two-dimensional strip, which represents a model quantum wire.…

Mesoscale and Nanoscale Physics · Physics 2014-12-31 Robert Gębarowski

Using the supersymmetry technique combined with the transfer matrix method we calculate different physical quantities characterizing localization in disordered wires. In particular, we analyze the density-density correlation function and…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. V. Kolesnikov , K. B. Efetov

The dependence of the localization length on the number of occupied subbands $N$ in low-dimensional semiconductors is investigated. The localization length is shown to be proportional to the number of occupied subbands in…

Condensed Matter · Physics 2009-10-28 S. -R. Eric Yang , J. Rammer

We study the transport properties of two electrons in a quasi one-dimensional disordered wire. The electrons are subject to both, a disorder potential and a short range two-body interaction. Using the approach developed by Iida et al. […

Disordered Systems and Neural Networks · Physics 2009-11-07 Jean Richert , Hans A. Weidenmuller

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

We formulate a quantum master equation for the many-particle density matrix of electrons propagating through a single-mode conductor, combining elastic scattering by disorder with time-resolved projective measurements that monitor the…

Mesoscale and Nanoscale Physics · Physics 2026-05-22 J. Sánchez Fernán , J. Tworzydło , C. W. J. Beenakker

We have studied the weakly non-linear quantum transport properties of a two-dimensional quantum wire which can be solved exactly. The non-linear transport coefficients have been calculated and interesting physical properties revealed. In…

Condensed Matter · Physics 2009-10-28 Jian Wang , Qingrong Zheng , Hong Guo

We present here a novel approach to evaluation of the weak localization correction (WLC) to transport properties of a mesoscopic conductor. It is based on an extension of Keldysh technique and allows one to evaluate the full counting…

Mesoscale and Nanoscale Physics · Physics 2009-09-25 Yuli V. Nazarov

We explore the influence of an arbitrary external potential perturbation V on the spectral properties of a weakly disordered conductor. In the framework of a statistical field theory of a nonlinear sigma-model type we find, depending on the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 F. M. Marchetti , I. E. Smolyarenko , B. D. Simons

This paper extends an earlier analytical scattering matrix treatment of conductance and localization in coupled two- and three Anderson chain systems for weak disorder when evanescent states are present at the Fermi level. Such states exist…

Disordered Systems and Neural Networks · Physics 2009-11-10 J. Heinrichs

We consider sample to sample fluctuations of the waiting time between the detection of two consecutive electrons in quasi-one-dimensional disordered conductors at zero temperature. We compute the full distribution of the mean waiting time…

Mesoscale and Nanoscale Physics · Physics 2024-07-24 Ferdinand Schulz , Mathias Albert

Generalized Dorokhov-Mello-Pereyra-Kumar (GDMPK) equation [K. A. Muttalib and J. R. Klauder, Phys. Rev. Lett. {\bf 82}, 4272 (1999)] has been proposed for the description of the electron transport in strongly localized systems. We develop…

Mesoscale and Nanoscale Physics · Physics 2007-10-25 J Brndiar , R. Derian , P. Markos

In this paper, we study the full conductance statistics of disordered one dimensional wire under the application of light. We develop the transfer matrix method for periodically driven systems to analyze the conductance of large system with…

Disordered Systems and Neural Networks · Physics 2015-06-03 Takuya Kitagawa , Takashi Oka , Eugene Demler

We consider non-equilibrium transport in disordered conductors. We calculate the interaction correction to the current for a short wire connected to electron reservoirs by resistive interfaces. In the absence of charging effects we find a…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 P. Schwab , R. Raimondi

We present a theoretical analysis of recent experimental results of Yacoby et al. on transport properties of high quality quantum wires. We suggest an explanation of observed deviations of the conductance from the universal value $2e^2/h$…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 Anton Yu. Alekseev , Vadim V. Cheianov

We point out that the low temperature saturation of the electron phase decoherence time in a disordered conductor can be explained within the existing theory of weak localization provided the effect of quantum (high frequency) fluctuations…

Condensed Matter · Physics 2009-10-30 Dmitrii S. Golubev , Andrei D. Zaikin

We calculate the correlator of the local density of states <\rho_{E}(r_1)\rho_{E+\omega}(r_2)> in quasi-one-dimensional disordered wires in a magnetic field, assuming that |r_1-r_2| is much smaller than the localization length. This amounts…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 M. A. Skvortsov , P. M. Ostrovsky

Motivated by Weyl semimetals and weakly doped semiconductors, we study transport in a weakly disordered semiconductor with a power-law quasiparticle dispersion $\xi_{\bf k}\propto k^\alpha$. We show, that in $2\alpha$ dimensions…

Mesoscale and Nanoscale Physics · Physics 2015-04-29 S. V. Syzranov , L. Radzihovsky , V. Gurarie

The distribution function of local amplitudes of single-particle states in disordered conductors is calculated on the basis of the supersymmetric $\sigma$-model approach using a saddle-point solution of its reduced version. Although the…

Condensed Matter · Physics 2009-10-28 Vladimir I. Fal'ko , K. Efetov