Crossovers between superconducting symmetry classes

V. A. Koziy, M. A. Skvortsov

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)222-227
Number of pages6
JournalJETP Letters
Issue number3
Publication statusPublished - Oct 2011
Externally publishedYes


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