vix.ing · top · new · best · stats · spec

Fermion zero modes on vortices in chiral superconductors

1999/09/30 by G. E. Volovik · 1 citation
Physics and Astronomy · #cond-mat #hep-ph

paper · pdf · doi:10.1134/1.568223

published as Pisma Zh.Eksp.Teor.Fiz. 70 (1999) 601-606; JETP Lett. 70 (1999) 609-614 · 4 pages, no figures, corrected version accepted in JETP Letters

arxiv created 1999/10/26 · arxiv updated 2009/11/30

Abstract

The energy levels of the fermions bound to the vortex core are considered for the general case of chiral superconductors. There are two classes of chiral superconductivity: in the superconducting state of class I the axisymmetric singly quantized vortex has the same energy spectrum of bound states as in s-wave superconductor: E=(n+1/2)ω0 with integral n. In the class II the corresponding spectrum is E=nω0 and thus contains the state with exactly zero energy. The effect of a single impurity on the spectrum of bound state is also considered. For the class I the spectrum acquires the double period ΔE=2ω0 and consists of two equidistant sets of levels in accordance with A.I. Larkin and Yu.N. Ovchinnikov, Phys. Rev. B57 (1998) 5457. The spectrum is not influenced by a single impurity if the same approximation is applied for vortices in the class II superconducting states.

Cited by