Non-universal suppression of the excitation gap in chaotic Andreev billiards: Superconducting terminals as sensitive probes for scarred states

dc.creatorKormanyos, Andor
dc.creatorSchomerus, Henning
dc.date2006-05-08
dc.date.accessioned2026-07-07T07:08:50Z
dc.date.available2026-07-07T07:08:50Z
dc.descriptionWhen a quantum-chaotic normal conductor is coupled to a superconductor, random-matrix theory predicts that a gap opens up in the excitation spectrum which is of universal size $E_g^{\rm RMT}\approx 0.3 \hbar/t_D$, where $t_D$ is the mean scattering time between Andreev reflections. We show that a scarred state of long lifetime $t_S\gg t_D$ suppresses the excitation gap over a window $ΔE\approx 2 E_g^{\rm RMT}$ which can be much larger than the narrow resonance width $Γ_S=\hbar/t_S$ of the scar in the normal system. The minimal value of the excitation gap within this window is given by $Γ_S/2\ll E_g^{\rm RMT}$. Hence the scarred state can be detected over a much larger energy range than it is the case when the superconducting terminal is replaced by a normal one.
dc.description4 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0605205
dc.identifierhttp://arxiv.org/abs/cond-mat/0605205
dc.identifierPhys. Rev. Lett. 97, 124102 (2006)
dc.identifierdoi:10.1103/PhysRevLett.97.124102
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110853
dc.subjectMesoscale and Nanoscale Physics
dc.subjectSuperconductivity
dc.titleNon-universal suppression of the excitation gap in chaotic Andreev billiards: Superconducting terminals as sensitive probes for scarred states
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