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Universal level statistics in the presence of Andreev scattering.

Bruun, J. T and Evangelou, S. N. and Lambert, Colin J. (1995) Universal level statistics in the presence of Andreev scattering. Journal of Physics: Condensed Matter, 7 (21). pp. 4033-4050. ISSN 0953-8984

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Abstract

We study the spectral eigenvalue statistics of tight-binding random matrix ensembles in the presence of Andreev scattering (AS). The nearest-level spacing distribution function is shown to follow a distribution PAS(s) which is distinct from the three well known Wigner-Dyson classes describing disordered "normal" conductors. Numerical results for PAS(s) are obtained for a three-dimensional random tight-binding Hamiltonian and also for a two-dimensional transmission matrix, both including Andreev scattering. The PAS(s) distribution is also analytically reproduced and is shown to coincide with that obtained by folding a GOE metallic spectrum around E=0.

Item Type: Article
Journal or Publication Title: Journal of Physics: Condensed Matter
Subjects: Q Science > QA Mathematics
Departments: Faculty of Science and Technology > Physics
ID Code: 19558
Deposited By: ep_ss_importer
Deposited On: 11 Nov 2008 10:17
Refereed?: Yes
Published?: Published
Last Modified: 17 Sep 2013 08:17
Identification Number:
URI: http://eprints.lancs.ac.uk/id/eprint/19558

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