Theory of pairing symmetry in the vortex states

Takehito Yokoyama, Masanori Ichioka, Yukio Tanaka, Alexander Golubov

Research output: Contribution to journalArticlepeer-review


We investigate pairing symmetry in an Abrikosov vortex and vortex lattice. It is shown that the Cooper pair wave function at the center of an Abrikosov vortex with vorticity m has a different parity with respect to frequency from that in the bulk if m is an odd number, while it has the same parity if m is an even number. As a result, in a conventional vortex with m = 1, the local density of states at the Fermi energy has a maximum (minimum) at the center of the vortex core in an even (odd)-frequency superconductor. In the vortex lattice of s-wave superconductor, we find that only odd-frequency pairing is present at the core centers, while at the midpoint of the vortex lines, only even-frequency pairing exists. Thus, the odd and even-frequency pairings also form the lattice in the vortex lattice state. We also propose a scanning tunneling microscope experiment using a superconducting tip to explore odd-frequency superconductivity.

Original languageEnglish
Pages (from-to)766-770
Number of pages5
JournalPhysica C: Superconductivity and its applications
Issue number19
Publication statusPublished - Oct 1 2010


  • Pairing symmetry
  • Vortex state

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Energy Engineering and Power Technology
  • Electrical and Electronic Engineering


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