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A decimation method for studying transport properties of disordered systems

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A decimation method for studying transport properties of disordered systems. / Leadbeater, M ; Lambert, C J .
In: Annalen der Physik, Vol. 7, No. 5-6, 11.1998, p. 498-502.

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Leadbeater M, Lambert CJ. A decimation method for studying transport properties of disordered systems. Annalen der Physik. 1998 Nov;7(5-6):498-502. doi: 10.1002/(SICI)1521-3889(199811)7:5/6<498::AID-ANDP498>3.0.CO;2-6

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Leadbeater, M ; Lambert, C J . / A decimation method for studying transport properties of disordered systems. In: Annalen der Physik. 1998 ; Vol. 7, No. 5-6. pp. 498-502.

Bibtex

@article{9616a922ce574de4b3b1fa1f68230fea,
title = "A decimation method for studying transport properties of disordered systems",
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.",
keywords = "Interaction, Localization , Simulation , Superconductivity , Mesoscopic",
author = "M Leadbeater and Lambert, {C J}",
year = "1998",
month = nov,
doi = "10.1002/(SICI)1521-3889(199811)7:5/6<498::AID-ANDP498>3.0.CO;2-6",
language = "English",
volume = "7",
pages = "498--502",
journal = "Annalen der Physik",
issn = "0003-3804",
publisher = "Wiley-VCH Verlag",
number = "5-6",

}

RIS

TY - JOUR

T1 - A decimation method for studying transport properties of disordered systems

AU - Leadbeater, M

AU - Lambert, C J

PY - 1998/11

Y1 - 1998/11

N2 - 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.

AB - 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.

KW - Interaction

KW - Localization

KW - Simulation

KW - Superconductivity

KW - Mesoscopic

U2 - 10.1002/(SICI)1521-3889(199811)7:5/6<498::AID-ANDP498>3.0.CO;2-6

DO - 10.1002/(SICI)1521-3889(199811)7:5/6<498::AID-ANDP498>3.0.CO;2-6

M3 - Journal article

VL - 7

SP - 498

EP - 502

JO - Annalen der Physik

JF - Annalen der Physik

SN - 0003-3804

IS - 5-6

ER -