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A decimation method for studying transport properties of disordered systems
Author(s) -
Leadbeater Mark,
Lambert Colin J.
Publication year - 1998
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/(sici)1521-3889(199811)7:5/6<498::aid-andp498>3.0.co;2-6
Subject(s) - decimation , conductance , superconductivity , tight binding , condensed matter physics , physics , statistical physics , computer science , electronic structure , telecommunications , bandwidth (computing)
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 λ 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.