Fermion zero modes on vortices in chiral superconductors

  • G. E. Volovik
Condensed Matter

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 

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References

  1. 1.
    A. I. Larkin and Yu. N. Ovchinnikov, Phys. Rev. B 57, 5457 (1998).CrossRefADSGoogle Scholar
  2. 2.
    C. Caroli, P. G. de Gennes, and J. Matricon, Phys. Lett. 9, 307 (1964).ADSGoogle Scholar
  3. 3.
    G. E. Volovik, JETP Lett. 57, 244 (1993).ADSGoogle Scholar
  4. 4.
    N. B. Kopnin and G. E. Volovik, Phys. Rev. Lett. 79, 1377 (1997); Phys. Rev. B 57, 8526 (1998).CrossRefADSGoogle Scholar
  5. 5.
    T. Sh. Missirpashaev and G. E. Volovik, Physica B 210, 338 (1995).ADSGoogle Scholar
  6. 6.
    N. B. Kopnin and M. M. Salomaa, Phys. Rev. B 44, 9667 (1991).CrossRefADSGoogle Scholar
  7. 7.
    M. Rice, Nature (London) 396, 627 (1998); K. Ishida, H. Mukuda, Y. Kitaoka et al., Nature (London) 396, 658 (1998).CrossRefGoogle Scholar
  8. 8.
    A. A. Koulakov and A. I. Larkin, Phys. Rev. B 59, 12021 (1999).Google Scholar
  9. 9.
    M. Stone, Phys. Rev. B 54, 13222 (1996).Google Scholar
  10. 10.
    G. E. Volovik and V. M. Yakovenko, J. Phys.: Condens. Matter 1, 5263 (1989).CrossRefADSGoogle Scholar
  11. 11.
    G. E. Volovik, JETP Lett. 66, 522 (1997).CrossRefADSGoogle Scholar
  12. 12.
    T. Senthil, J. B. Marston, and M. P. A. Fisher, Phys. Rev. B 60, 4245 (1999).ADSGoogle Scholar
  13. 13.
    M. V. Feigel’man and M. A. Skvortsov, Phys. Rev. Lett. 78, 2640 (1997).ADSGoogle Scholar
  14. 14.
    J. Goryo, http://xxx.lanl.gov/abs/cond-mat/9908113; G. E.Volovik, AIP Conference Proceedings, Vol. 194, edited by G. G. Ihas and Y. Takano, Gainesville, Fla. (1989), pp. 136–146.

Copyright information

© MAIK "Nauka/Interperiodica" 1999

Authors and Affiliations

  • G. E. Volovik
    • 1
    • 2
  1. 1.Helsinki University of TechnologyLow Temperature LaboratoryHUTFinland
  2. 2.Landau Institute of Theoretical PhysicsRussian Academy of SciencesMoscowRussia

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