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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 model the effect of phase-breaking collisions on the coherent electron transport in a disordered one-dimensional single-channel wire. In our model the phase-breaking collisions break the wire into segments, where each segment is an…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Martin Mosko , Pavel Vagner , Peter Markos , Thomas Schaepers

We determine analytically the distribution of conductances of quasi one-dimensional disordered electron systems, neglecting electron-electron interaction, for all strengths of disorder. We find that in the crossover region between the…

Mesoscale and Nanoscale Physics · Physics 2017-09-27 P. Woelfle , K. A. Muttalib

We calculate the corrections to the conductivity and compressibility of a disordered metal when the mean free path is smaller than the screening length. Such a condition is shown to be realized for low densities and large disorder. Analysis…

Strongly Correlated Electrons · Physics 2009-10-31 Qimiao Si , C. M. Varma

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

Sub-dimensional localization, also known as directional localization, arises when 2d electrons are subject to a periodic potential and incommensurate magnetic field which cause them to become exponentially localized along one crystal axis,…

Mesoscale and Nanoscale Physics · Physics 2024-10-30 Nisarga Paul , Philip J. D. Crowley

The conductance through a semi-infinite one-dimensional wire, partly embedded in a superconducting bulk electrode, is studied. When the electron-electron interactions within the wire are strongly repulsive, the wire effectively decouples…

Strongly Correlated Electrons · Physics 2009-11-13 Raphael Matthews , Oded Agam

The conductance of disordered nano-wires at T=0 is calculated in one-particle approximation by reducing the original multi-dimensional problem for an open bounded system to a set of exactly one-dimensional non-Hermitian problems for mode…

Disordered Systems and Neural Networks · Physics 2009-11-07 Yu. V. Tarasov

In the weak disordered regime we provide analytical expressions for the electron localization lengths in quasi-one dimensional (Q1D) disordered quantum wire with hard wall and periodic boundary conditions. They are exact up to order $W^2$…

Disordered Systems and Neural Networks · Physics 2011-06-07 Vladimir Gasparian , Emilio Cuevas

We report on the experimental study of electron transport in sub-micron-wide ''wires'' fabricated from Si $\delta $-doped GaAs. These quasi-one-dimensional (Q1D) conductors demonstrate the crossover from weak to strong localization with…

Disordered Systems and Neural Networks · Physics 2009-10-31 Yu. B. Khavin , M. E. Gershenson , A. L. Bogdanov

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

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

Quantum phase transitions of three-dimensional (3D) Weyl semimetals (WSMs) subject to uncorrelated on-site disorder are investigated through quantum conductance calculations and finite-size scaling of localization length. Contrary to…

Disordered Systems and Neural Networks · Physics 2017-06-27 Ying Su , X. S. Wang , X. R. Wang

Non-monotonic differential resistance (dV/dI) is observed in magnetically induced insulating films which exhibit apparent superconductor-metal-insulator transitions in the low temperature limit; at low bias currents the nonlinear transport…

Superconductivity · Physics 2009-11-11 C. L. Vicente , Yongguang Qin , Jongsoo Yoon

Disordered stealthy hyperuniform dielectric composites exhibit novel electromagnetic wave transport properties in two and three dimensions. Here, we carry out the first study of the electromagnetic properties of one-dimensional (1D)…

Optics · Physics 2023-08-01 Jaeuk Kim , Salvatore Torquato

The crossover in energy level statistics of a quasi-1-dimensional disordered wire as a function of its length L is used, in order to derive its averaged localization length, without magnetic field, in a magnetic field and for moderate spin…

Disordered Systems and Neural Networks · Physics 2009-10-31 Stefan Kettemann

The temperature and magnetic-field dependences of the resistance of one-dimensional (1D) conductors have been studied in the vicinity of the Thouless crossover. We find that on the weak localization (WL) side of the crossover, these…

Disordered Systems and Neural Networks · Physics 2009-10-31 Yu. B. Khavin , M. E. Gershenson , A. L. Bogdanov

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

We study a penetration of an electron with high energy E<<T through strongly disordered wire of length L<<a (a being the localization length). Such an electron can loose, but not gain the energy, when hopping from one localized state to…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 A. S. Ioselevich , D. I. Pikulin

The axion insulator is a higher-order topological insulator protected by inversion symmetry. We show that under quenched disorder respecting inversion symmetry {\it on average}, the topology of the axion insulator stays robust, and an…

Mesoscale and Nanoscale Physics · Physics 2021-07-07 Zhi-Da Song , Biao Lian , Raquel Queiroz , Roni Ilan , B. Andrei Bernevig , Ady Stern
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