### Abstract

The vortex lattice structure in a d_{x2-y2}-wave superconductor is investigated near the upper critical magnetic field in the framework of the Ginzburg Landau theory extended by including the correction terms such as the higher order derivatives derived from the Gorkov equation. On lowering temperature, the unit cell shape of the vortex lattice gradually varies from a regular triangular lattice to a square lattice through the shape of an isosceles triangle. As for the orientation of the vortex lattice, the base of an isosceles triangle is along the a axis or the b axis of the crystal. The fourfold symmetric structure around a vortex core is also studied in the vortex lattice case. It is noted that these characteristic features appear even in the case the induced s-wave order parameter is absent around the vortex of the d_{x2-y2}-wave superconductivity. We also investigate the effect of the induced s-wave order parameter. It enhances (suppresses) these characteristic features of the d_{x2-y2}-wave superconductor when the s-wave component of the interaction is attractive (repulsive).

Original language | English |
---|---|

Pages (from-to) | 3928-3943 |

Number of pages | 16 |

Journal | Journal of the Physical Society of Japan |

Volume | 66 |

Issue number | 12 |

Publication status | Published - Dec 1997 |

### Fingerprint

### Keywords

- d-wave superconductor
- Ginzburg Landau theory
- Vortex lattice structure

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Journal of the Physical Society of Japan*,

*66*(12), 3928-3943.

**Vortex Lattice Structure in a dx2-y2-Wave Superconductor.** / Ichioka, Masanori; Enomoto, Naoki; Machida, Kazushige.

Research output: Contribution to journal › Article

*Journal of the Physical Society of Japan*, vol. 66, no. 12, pp. 3928-3943.

}

TY - JOUR

T1 - Vortex Lattice Structure in a dx2-y2-Wave Superconductor

AU - Ichioka, Masanori

AU - Enomoto, Naoki

AU - Machida, Kazushige

PY - 1997/12

Y1 - 1997/12

N2 - The vortex lattice structure in a dx2-y2-wave superconductor is investigated near the upper critical magnetic field in the framework of the Ginzburg Landau theory extended by including the correction terms such as the higher order derivatives derived from the Gorkov equation. On lowering temperature, the unit cell shape of the vortex lattice gradually varies from a regular triangular lattice to a square lattice through the shape of an isosceles triangle. As for the orientation of the vortex lattice, the base of an isosceles triangle is along the a axis or the b axis of the crystal. The fourfold symmetric structure around a vortex core is also studied in the vortex lattice case. It is noted that these characteristic features appear even in the case the induced s-wave order parameter is absent around the vortex of the dx2-y2-wave superconductivity. We also investigate the effect of the induced s-wave order parameter. It enhances (suppresses) these characteristic features of the dx2-y2-wave superconductor when the s-wave component of the interaction is attractive (repulsive).

AB - The vortex lattice structure in a dx2-y2-wave superconductor is investigated near the upper critical magnetic field in the framework of the Ginzburg Landau theory extended by including the correction terms such as the higher order derivatives derived from the Gorkov equation. On lowering temperature, the unit cell shape of the vortex lattice gradually varies from a regular triangular lattice to a square lattice through the shape of an isosceles triangle. As for the orientation of the vortex lattice, the base of an isosceles triangle is along the a axis or the b axis of the crystal. The fourfold symmetric structure around a vortex core is also studied in the vortex lattice case. It is noted that these characteristic features appear even in the case the induced s-wave order parameter is absent around the vortex of the dx2-y2-wave superconductivity. We also investigate the effect of the induced s-wave order parameter. It enhances (suppresses) these characteristic features of the dx2-y2-wave superconductor when the s-wave component of the interaction is attractive (repulsive).

KW - d-wave superconductor

KW - Ginzburg Landau theory

KW - Vortex lattice structure

UR - http://www.scopus.com/inward/record.url?scp=0031329757&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0031329757&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0031329757

VL - 66

SP - 3928

EP - 3943

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

SN - 0031-9015

IS - 12

ER -