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The low frequency quantum transport properties of a three-probe mesoscopic conductor are studied using B\"uttiker's AC transport formalism. The static transmission coefficients and emittance matrix of the system were computed by explicitly…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Qingrong Zheng , Jian Wang , Hong Guo

The local density of states (LDOS) in finite quantum wires is calculated as a function of discrete energies and position along the wire. By using a combination of numerical density matrix renormalization group (DMRG) calculations and…

Strongly Correlated Electrons · Physics 2009-11-13 Imke Schneider , Alexander Struck , Michael Bortz , Sebastian Eggert

A method to derive the charge current density and its quantum mechanical correlation from the scattering matrix is discussed for quantum scattering systems described by a time-dependent Hamiltonian operator. The current density and charge…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Tooru Taniguchi

We present a general method for calculating coherent electronic transport in quantum wires and tunnel junctions. It is based upon a real space high order finite difference representation of the single particle Hamiltonian and wave…

Materials Science · Physics 2007-05-23 Petr A. Khomyakov , Geert Brocks

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 consider the scattering matrix approach to quantum electron transport in meso- and nano-conductors. This approach is an alternative to the more conventional kinetic equation and Green's function approaches, and often is more efficient…

Mesoscale and Nanoscale Physics · Physics 2015-04-09 G. B. Lesovik , I. A. Sadovskyy

The electric current conservation in a two-dimensional quantum wire under a time dependent field is investigated. Such a conservation is obtained as the global density of states contribution to the emittance is balanced by the contribution…

Condensed Matter · Physics 2009-10-28 J. Wang , Q. R. Zheng , H. Guo

A quantum wire of uniform cross section (but with eventual disorder) with three regions: dot, left lead, and right lead, is considered. Assuming that the same unitary transformation diagonalizes all unit cells of this wire, we propose a new…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Mohammad Mardaani , Keivan Esfarjani

We calculate self-consistently the local density of states (LDOS) of a d-wave superconductor considering the scattering of the quasiparticles off randomly distributed impurities and off externally induced vortices. The impurities and the…

Superconductivity · Physics 2009-11-11 J. Lages , P. D. Sacramento

The frequency dependent conductance of a two-dimensional quantum wire is computed using a current conserving formalism. The correction to the dc-conductance due to a time-dependent potential is related to the local partial density of states…

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

On the basis of the quasiclassical theory of superconductivity, we obtain a formula for the local density of states (LDOS) around a vortex core of superconductors with anisotropic pair-potential and Fermi surface in arbitrary directions of…

Superconductivity · Physics 2007-05-23 Yuki Nagai , Yosuke Ueno , Yusuke Kato , Nobuhiko Hayashi

A method is proposed for studying wave and particle transport in disordered waveguide systems of dimension higher than unity by means of exact one-dimensionalization of the dynamic equations in the mode representation. As a particular case,…

Disordered Systems and Neural Networks · Physics 2013-01-31 Yu. V. Tarasov

In this work we exploit the integrability of the two-lead Anderson model to compute transport properties of a quantum dot, in and out of equilibrium. Our method combines the properties of integrable scattering together with a…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Robert Konik , Hubert Saleur , Andreas Ludwig

We calculate the conductance of a quantum wire with two occupied subbands in a presence of a barrier taking into account the interaction between electrons. We extend the renormalization-group equation for the scattering matrix of the…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 A. V. Borin , K. E. Nagaev

The response of an arbitrary scattering problem to quasi-static perturbations in the scattering potential is naturally expressed in terms of a set of local partial densities of states and a set of sensitivities each associated with one…

Condensed Matter · Physics 2009-10-28 V. Gasparian , T. Christen , M. Buttiker

We calculate the quantum states of regular polygons made of 1D quantum wires treating each polygon vertex as a scatterer. The vertex scattering matrix is analytically obtained from the model of a circular bend of a given angle of a 2D…

Mesoscale and Nanoscale Physics · Physics 2015-04-22 Cristian Estarellas , Llorenç Serra

We develop a method to extract the universal conductance of junctions of multiple quantum wires, a property of systems connected to reservoirs, from static ground-state computations in closed finite systems. The method is based on a key…

Strongly Correlated Electrons · Physics 2012-01-31 Armin Rahmani , Chang-Yu Hou , Adrian Feiguin , Masaki Oshikawa , Claudio Chamon , Ian Affleck

The probability distribution of the mesoscopic local density of states (LDOS) for a single-channel disordered quantum wire with chiral symmetry is computed in two different geometries. An approximate ansatz is proposed to describe the…

Disordered Systems and Neural Networks · Physics 2009-11-10 S. Ryu , C. Mudry , A. Furusaki

A systematic theory of the conductance measurements of non-invasive (weak probe) scanning gate microscopy is presented that provides an interpretation of what precisely is being measured. A scattering approach is used to derive explicit…

Mesoscale and Nanoscale Physics · Physics 2013-07-12 C. Gorini , R. A. Jalabert , W. Szewc , S. Tomsovic , D. Weinmann

Coherent electron transport through a quantum channel in the presence of a general extended scattering potential is investigated using a T-matrix Lippmann-Schwinger approach. The formalism is applied to a quantum wire with Gaussian type…

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