Summary
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—de Gennes 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.
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Ivanov, D.A. (2002). Random-Matrix Ensembles in p-Wave Vortices. In: Huebener, R.P., Schopohl, N., Volovik, G.E. (eds) Vortices in Unconventional Superconductors and Superfluids. Springer Series in Solid-State Sciences, vol 132. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04665-4_15
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DOI: https://doi.org/10.1007/978-3-662-04665-4_15
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