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VOLUME 94 | ISSUE 3 | PAGE 240
Crossovers between superconducting symmetry classes
V. A. Koziy, M. A. Skvortsov
L.D. Landau Institute for Theoretical Physics, 142432 Chernogolovka, Russia
Moscow Institute of Physics and Technology, 141700 Moscow, Russia

Abstract
We study the average density of states in a small metallic grain coupled to two superconductors with the phase difference π, in a magnetic field. The spectrum of the low-energy excitations in the grain is described by the random matrix theory whose symmetry depends on the magnetic field strength and coupling to the superconductors. In the limiting cases, a pure superconducting symmetry class is realized. For intermediate magnetic fields or couplings to the superconductors, the system experiences a crossover between different symmetry classes. With the help of the supersymmetric σ-model we derive the exact expressions for the average density of states in the crossovers between the symmetry classes A-C and CI-C.


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