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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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.

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Journal of Physics: Condensed Matter
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11 Nov 2008 10:17
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22 Sep 2023 00:00