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We develop a simple systematic method, valid for all strengths of disorder, to obtain analytically for the first time the full distribution of conductance P(g) for a quasi one dimensional wire in the absence of electron-electron…

Disordered Systems and Neural Networks · Physics 2009-10-31 K. A. Muttalib , P. Wölfle

We develop a simple systematic method, valid for all strengths of disorder, to obtain analytically the full distribution of conductances P(g) for a quasi one dimensional wire within the model of non-interacting fermions. The method has been…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 K. A. Muttalib , P. Woelfle , V. A. Gopar

We calculate the distribution of the conductance P(g) for a quasi-one-dimensional system in the metal to insulator crossover regime, based on a recent analytical method valid for all strengths of disorder. We show the evolution of P(g) as a…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Victor A. Gopar , K. A. Muttalib , P. Wölfle

We show that the distribution P(g) of conductances g of a quasi one dimensional wire has non-analytic behavior in the insulating region, leading to a discontinuous derivative in the distribution near g=1. We give analytic expressions for…

Disordered Systems and Neural Networks · Physics 2009-11-07 K. A. Muttalib , P. Woelfle , A. Garcia-Martin , V. A. Gopar

The full distribution of the conductance $P(G)$ in quasi-one-dimensional wires with rough surfaces is analyzed from the diffusive to the localization regime. In the crossover region, where the statistics is dominated by only one or two…

Disordered Systems and Neural Networks · Physics 2009-11-07 A. Garcia-Martin , J. J. Saenz

We calculate the distribution of the conductance G in a one-dimensional disordered wire at finite temperature T and bias voltage V in a independent-electron picture and assuming full coherent transport. At high enough temperature and bias…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 F. Foieri , M. J. Sanchez , L. Arrachea , V. A. Gopar

In low temperature limit, we study electron counting statistics of a disordered conductor. We derive an expression for the distribution of charge transmitted over a finite time interval by using a result from the random matrix theory of…

Condensed Matter · Physics 2008-04-12 Hyunwoo Lee , A. Yu. Yakovetz , L. S. Levitov

We study coherent electron transport in a one-dimensional wire with disorder modeled as a chain of randomly positioned scatterers. We derive analytical expressions for all statistical moments of the wire resistance $\rho$. By means of these…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 P. Vagner , P. Markos , M. Mosko , Th. Schaepers

We report measurements of conductance distribution in a set of quasi-one-dimensional gold wires. The distribution includes the second cumulant or the variance which describes the universal conductance fluctuations, and the third cumulant…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 P. Mohanty , R. A. Webb

The statistical properties of the conductance of one dimensional disordered systems are studied at finite bias voltage V and temperature T, in an independent-electron picture. We calculate the complete distribution of the conductance P(G)…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Victor A. Gopar , Peter Woelfle

We perform a detailed numerical study of the conductance $G$ through one-dimensional (1D) tight-binding wires with on-site disorder. The random configurations of the on-site energies $\epsilon$ of the tight-binding Hamiltonian are…

Disordered Systems and Neural Networks · Physics 2016-04-05 J. A. Mendez-Bermudez , A. J. Martinez-Mendoza , V. A. Gopar , I. Varga

We study the distributions functions for global partial density of states (GPDOS) in quasi-one-dimensional (Q1D) disordered wires as a function of disorder parameter from metal to insulator. We consider two different models for disordered…

Disordered Systems and Neural Networks · Physics 2009-11-11 J. Ruiz , E. Jódar , V. Gasparian

We have studied the conductance distribution function of two-dimensional disordered noninteracting systems in the crossover regime between the diffusive and the localized phases. The distribution is entirely determined by the mean…

Disordered Systems and Neural Networks · Physics 2015-05-14 A. M. Somoza , J. Prior , M. Ortuno , I. V. Lerner

Recent numerical simulations have shown that the distribution of conductance P(g) in 3D strongly localized regiem differs significally from the expected log normal distribution. To understand the origin of this difference analytically, we…

Disordered Systems and Neural Networks · Physics 2015-06-24 K. A. Muttalib. P. Markos , P. Woelfle

In this letter we study the conductance G through one-dimensional quantum wires with disorder configurations characterized by long-tailed distributions (Levy-type disorder). We calculate analytically the conductance distribution which…

Mesoscale and Nanoscale Physics · Physics 2011-01-19 Fernando Falceto , Victor A. Gopar

We consider the problem of electron transport across a quasi-one-dimensional disordered multiply-scattering medium, and study the statistical properties of the electron density inside the system. In the physical setup that we contemplate,…

Disordered Systems and Neural Networks · Physics 2020-01-29 Pier A. Mello , Miztli Yépez

Impurities and defects are ubiquitous in topological insulators (TIs) and thus understanding the effects of disorder on electronic transport is important. We calculate the distribution of the random conductance fluctuations $P(G)$ of…

Mesoscale and Nanoscale Physics · Physics 2018-03-14 Hsiu-Chuan Hsu , Ioannis Kleftogiannis , Guang-Yu Guo , Victor A. Gopar

We study numerically the form of the conductance distribution in the non-metallic regime for (1) weakly disordered systems which become insulating due to increase of the system length and (2) cubic d-dimensional systems, in which…

Condensed Matter · Physics 2007-05-23 Peter Markos

We study Coulomb drag between two parallel disordered mesoscopic 1D-wires. By numerical ensemble averaging we calculate the statistical properties of the transconductance G_21 including its distribution. For wires with mutually uncorrelated…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Niels Asger Mortensen , Karsten Flensberg , Antti-Pekka Jauho

The self averaging properties of conductance $g$ are explored in random resistor networks with a broad distribution of bond strengths $P(g)\simg^{\mu-1}$. Distributions of equivalent conductances are estimated numerically on hierarchical…

Condensed Matter · Physics 2009-10-22 R. F. Angulo , E. Medina
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