Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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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 -