Decreasing excitation gap in Andreev billiards by disorder scattering

Details Decreasing excitation gap in Andreev billiards by disorder scattering Decreasing excitation gap in Andreev billiards by disorder scattering

2008-03-20

arxiv.org/abs/0803.3009v1

Euro.Phys.Lett. 82 (2008) 47006

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

6 pages, 5 figures, submitted to EPL

Scientific paper

10.1209/0295-5075/82/47006

We investigate the distribution of the lowest-lying energy states in a disordered Andreev billiard by solving the Bogoliubov-de Gennes equation numerically. Contrary to conventional predictions we find a decrease rather than an increase of the excitation gap relative to its clean ballistic limit. We relate this finding to the eigenvalue spectrum of the Wigner-Smith time delay matrix between successive Andreev reflections. We show that the longest rather than the mean time delay determines the size of the excitation gap. With increasing disorder strength the values of the longest delay times increase, thereby, in turn, reducing the excitation gap.

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