TY - JOUR

T1 - Superconducting terminals as sensitive probes for scarred states.

AU - Kormanyos, Andor

AU - Schomerus, Henning

PY - 2006/9/18

Y1 - 2006/9/18

N2 - 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.

AB - 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.

U2 - 10.1103/PhysRevLett.97.124102

DO - 10.1103/PhysRevLett.97.124102

M3 - Journal article

VL - 97

SP - 124102

JO - Physical review letters

JF - Physical review letters

SN - 1079-7114

IS - 12

ER -