W. Ihra et K. Richter, Non-universal features in the quasi-particle excitation spectra of Andreevbilliards and wires, PHYSICA E, 9(3), 2001, pp. 362-368
We study non-universal features of the quasi-particle excitation spectra of
normal-conducting mesoscopic structures, whose classical dynamics are chao
tic, and which are coupled to a superconducting lead. In the first part we
demonstrate the importance of non-universal contributions in Andreev billia
rds when the ergodic time of the billiard is of the same order as the mean
escape time. Non-universality introduces additional oscillations in the qua
si-particle excitation spectrum which are related to the decaying modes of
the classical evolution operator in the closed billiard. In the second part
we demonstrate that in a long rough wire coupled to a superconductor class
ical anomalous diffusion modifies the energy scale below which universality
holds as a function of the geometrical parameters in comparison to billiar
ds with a narrow superconducting lead. (C) 2001 Elsevier Science B.V. All r
ights reserved.