Journal of Experimental and Theoretical Physics Letters

, Volume 70, Issue 9, pp 609–614

Fermion zero modes on vortices in chiral superconductors

Authors

  • G. E. Volovik
    • Helsinki University of TechnologyLow Temperature Laboratory
    • Landau Institute of Theoretical PhysicsRussian Academy of Sciences
Condensed Matter

DOI: 10.1134/1.568223

Cite this article as:
Volovik, G.E. Jetp Lett. (1999) 70: 609. doi:10.1134/1.568223

Abstract

The energy levels of fermions bound to the vortex core are considered for the general case of chiral superconductors. There are two classes of chiral superconductivity: in the class I superconducting state the axisymmetric singly quantized vortex has the same energy spectrum of bound states as in an s-wave superconductor: E=(n+1/2)ω0, with integral n. In class II the corresponding spectrum is E=nω0 and thus contains a state with exactly zero energy. The effect of a single impurity on the spectrum of bound states is also considered. For class I the spectrum acquires the doubled period ΔE=2ω0 and consists of two equidistant sets of levels, in accordance with A. I. Larkin and Yu. N. Ovchinnikov, Phys. Rev. B 57, 5457 (1998). For the class II states the spectrum is not influenced by a single impurity if the same approximation is applied.

PACS numbers

74.20.Mn 74.60.Ge

Copyright information

© MAIK "Nauka/Interperiodica" 1999