Superconducting Terminals as Sensitive Probes for Scarred States
Andor Kormányos, Henning Schomerus
DOI 10.1103/PhysRevLett.97.124102 · Physical Review Letters
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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 EgRMT≈0.3ℏ/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 ΔE≈2EgRMT which can be much larger than the narrow resonance width ΓS=ℏ/tS of the scar in the normal system. The minimal value of the excitation gap within this window is given by ΓS/2≪EgRMT. 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.
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