12,000

We have over 12,000 students, from over 100 countries, within one of the safest campuses in the UK

93%

93% of Lancaster students go into work or further study within six months of graduating

Home > Research > Publications & Outputs > Universal level statistics in the presence of A...
View graph of relations

« Back

Universal level statistics in the presence of Andreev scattering.

Research output: Contribution to journalJournal article

Published

Journal publication date22/05/1995
JournalJournal of Physics: Condensed Matter
Journal number21
Volume7
Number of pages18
Pages4033-4050
Original languageEnglish

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.