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DY: Dynamik und Statistische Physik
DY 27: Quantenchaos II
DY 27.2: Talk
Tuesday, March 12, 2002, 16:45–17:00, H3
Normal-Superconducting Hybrids and Quantum Graphs — •Burkhard Seif1, Sven Gnutzmann2, Felix von Oppen2, and Martin R. Zirnbauer1 — 1Institut für Theoretische Physik, Universität zu Köln — 2Institut für Theoretische Physik, Freie Universität Berlin
Recently, new symmetry classes in random-matrix theory have been discovered and classified [1,2], some of which are realized in normal-superconducting hybrid systems. We develop a semiclassical approach to the spectral form factor of one of these ensembles (class C) starting from the Bogoliubov-deGennes equations. This is done by introducing a new class of quantum graphs [3], which describe chaotic normal-superconducting systems by incorporating Andreev reflection. We confirm our results by numerical calculations.
[1] A. Altland, M.R. Zirnbauer, Phys. Rev. B 55, 1142 (1997)
[2] M.R. Zirnbauer, J. Math. Phys. 37, 4986 (1996)
[3] T. Kottos, U. Smilansky. Phys. Rev. Lett. 79, 4794, (1997). Ann. Phys., 274, 76, 1999.