Random-matrix ensembles in p-wave vortices
Abstract
Description
In disordered vortices in p-wave superconductors the two new random-matrix ensembles may be realized: B and DIII-odd (of so(2N+1) and so(4N+2)/u(2N+1) matrices respectively). We predict these ensembles from an explicit analysis of the symmetries of Bogoliubov-deGennes equations in three examples of vortices with different p-wave order parameters. A characteristic feature of the novel symmetry classes is a quasiparticle level at zero energy. Class B is realized when the time-reversal symmetry is broken, and class DIII-odd when the time-reversal symmetry is preserved. We also suggest that the main contribution to disordering the vortex spectrum comes from the distortion of the order parameter around impurities.
11 pages, contribution to proceedings of the workshop "Vortices in unconventional superconductors and superfluids -- microscopic structure and dynamics", Dresden, March 2000
11 pages, contribution to proceedings of the workshop "Vortices in unconventional superconductors and superfluids -- microscopic structure and dynamics", Dresden, March 2000