The energy-level statistics in the core of a vortex in a p-wave superconductor

Abstract

In the presence of strong disorder, the statistics of quasiparticle levels in the core of a vortex in a two-dimensional p-wave superconductor belongs to the universality class B corresponding to the ensemble of orthogonal matrices in odd dimensions. This novel universality class appears as a consequence of the O(2) spin symmetry of p-wave pairing. It is preserved in the presence of random disorder, of electromagnetic vector potential, and of an admixture of the pairing of opposite chirality in the vortex core, but may be destroyed by spin-orbit coupling and by Zeeman splitting.

arXiv comment5 pages, one reference added

References in corpus (9)

• Novel Symmetry Classes in Mesoscopic Normal-Superconducting Hybrid Structures
• The spectrum of the QCD Dirac operator and chiral random matrix theory: the threefold way
• Fermion zero modes on vortices in chiral superconductors
• Quasiparticle States near the Surface and the Domain Wall in a p_x\pm i p_y-Wave Superconductor
• Disordered 2d quasiparticles in class D: Dirac fermions with random mass, and dirty superconductors
• Ginzburg-Landau Theory for a p-Wave Sr_2RuO_4 Superconductor: Vortex Core Structure and Extended London Theory
• Level statistics inside the vortex of a superconductor and symplectic random matrix theory in an external source
• Vortex Density of States and Absorption in Clean Layered Superconductors
• Analysis of impurity-induced circular currents for the chiral superconductor Sr_{2}RuO_{4}

Cited by in corpus (5)

• Non-abelian statistics of half-quantum vortices in p-wave superconductors
• Disordered 2d quasiparticles in class D: Dirac fermions with random mass, and dirty superconductors
• Monopoles and fractional vortices in chiral superconductors
• Complete random matrix classification of SYK models with $\mathcal{N}=0$, $1$ and $2$ supersymmetry
• Monopole, half-quantum vortices and nexus in chiral superfluids and superconductors