2001/03/04 by D. A. Ivanov, Ivanov, D. A.
Physics and Astronomy · #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Superconductivity (cond-mat.supr-con) #cond-mat.mes-hall #cond-mat.supr-con
paper · pdf · doi:10.48550/arxiv.cond-mat/0103089
11 pages, contribution to proceedings of the workshop "Vortices in unconventional superconductors and superfluids -- microscopic structure and dynamics", Dresden, March 2000
arxiv created 2001/03/04 · arxiv updated 2009/11/30
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.