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Superconducting terminals as sensitive probes for scarred states.

Research output: Contribution to journalJournal articlepeer-review

Published
<mark>Journal publication date</mark>18/09/2006
<mark>Journal</mark>Physical review letters
Issue number12
Volume97
Pages (from-to)124102
Publication StatusPublished
<mark>Original language</mark>English

Abstract

When a quantum-chaotic normal conductor is coupled to a superconductor, the random-matrix theory (RMT) predicts that a gap opens up in the excitation spectrum which is of universal size E_g^RMT approx 0.3 hbar/tD, where tD is the mean scattering time between Andreev reflections. We show that a scarred state of long lifetime tS>>tD suppresses the excitation gap over a window Delta E approx 2E_g^RMT which can be much larger than the narrow resonance width Gamma_S=hbar/tS of the scar in the normal system. The minimal value of the excitation gap within this window is given by Gamma_S/2<<E_g^RMT. Via this suppression of the gap to a nonuniversal value, the scarred state can be detected over a much larger energy range than it is in the case when the superconducting terminal is replaced by a normal one.