### Abstract

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 language | English |
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Pages (from-to) | 766-770 |

Number of pages | 5 |

Journal | Physica C: Superconductivity and its applications |

Volume | 470 |

Issue number | 19 |

DOIs | |

Publication status | Published - Oct 1 2010 |

### Keywords

- 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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## Cite this

*Physica C: Superconductivity and its applications*,

*470*(19), 766-770. https://doi.org/10.1016/j.physc.2010.02.084