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A decimation method for studying transport properties of disordered systems

Research output: Contribution to journalJournal article

Published

Journal publication date11/1998
JournalAnnalen der physik
Journal number5-6
Volume7
Number of pages5
Pages498-502
Original languageEnglish

Abstract

We present a numerical decimation method for the study of transport properties of disordered tight-binding systems. We demonstrate this method by considering two situations: 1) the problem of two interacting particles (TIP) in a quasi-one dimensional random potential and 2) the conductance of disordered normal - superconducting structures. For case 1) we compute the two particle localisation length lambda(2) presenting results for its dependence on disorder, interaction strength and system width. For case 2) we illustrate the method by presenting results for the sub-gap conductance of a normal wire connected to one normal and one superconducting reservoir and the case of a normal region in contact with two superconductors.