### 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 |
---|---|

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 |

### Fingerprint

### Keywords

- Pairing symmetry
- Vortex state

### ASJC Scopus subject areas

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

### Cite this

*Physica C: Superconductivity and its Applications*,

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

**Theory of pairing symmetry in the vortex states.** / Yokoyama, Takehito; Ichioka, Masanori; Tanaka, Yukio; Golubov, Alexander.

Research output: Contribution to journal › Article

*Physica C: Superconductivity and its Applications*, vol. 470, no. 19, pp. 766-770. https://doi.org/10.1016/j.physc.2010.02.084

}

TY - JOUR

T1 - Theory of pairing symmetry in the vortex states

AU - Yokoyama, Takehito

AU - Ichioka, Masanori

AU - Tanaka, Yukio

AU - Golubov, Alexander

PY - 2010/10/1

Y1 - 2010/10/1

N2 - 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.

AB - 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.

KW - Pairing symmetry

KW - Vortex state

UR - http://www.scopus.com/inward/record.url?scp=77956174106&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77956174106&partnerID=8YFLogxK

U2 - 10.1016/j.physc.2010.02.084

DO - 10.1016/j.physc.2010.02.084

M3 - Article

AN - SCOPUS:77956174106

VL - 470

SP - 766

EP - 770

JO - Physica C: Superconductivity and its Applications

JF - Physica C: Superconductivity and its Applications

SN - 0921-4534

IS - 19

ER -