Vortex Lattice Structure in a dx2-y2-Wave Superconductor

Masanori Ichioka, Naoki Enomoto, Kazushige Machida

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15 Citations (Scopus)


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).

Original languageEnglish
Pages (from-to)3928-3943
Number of pages16
Journaljournal of the physical society of japan
Issue number12
Publication statusPublished - Dec 1997


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

ASJC Scopus subject areas

  • General Physics and Astronomy


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