TY - JOUR

T1 - Universal level statistics in the presence of Andreev scattering.

AU - Bruun, J. T

AU - Evangelou, S. N.

AU - Lambert, Colin J.

PY - 1995/5/22

Y1 - 1995/5/22

N2 - 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.

AB - 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.

U2 - 10.1088/0953-8984/7/21/004

DO - 10.1088/0953-8984/7/21/004

M3 - Journal article

VL - 7

SP - 4033

EP - 4050

JO - Journal of Physics: Condensed Matter

JF - Journal of Physics: Condensed Matter

SN - 0953-8984

IS - 21

ER -