中国物理B ›› 2001, Vol. 10 ›› Issue (6): 541-549.doi: 10.1088/1009-1963/10/6/315

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GINZBURG-LANDAU THEORY AND VORTEX LATTICE OF HIGH-TEMPERATURE SUPERCONDUCTORS

周世平   

  1. Department of Physics, Shanghai University, Shanghai 200436, China
  • 收稿日期:2000-09-24 修回日期:2000-12-23 出版日期:2001-06-15 发布日期:2005-06-12
  • 基金资助:
    Project supported by the Foundation for University Key Teachers by the Ministry of Education, China.

GINZBURG-LANDAU THEORY AND VORTEX LATTICE OF HIGH-TEMPERATURE SUPERCONDUCTORS

Zhou Shi-ping (周世平)   

  1. Department of Physics, Shanghai University, Shanghai 200436, China
  • Received:2000-09-24 Revised:2000-12-23 Online:2001-06-15 Published:2005-06-12
  • Supported by:
    Project supported by the Foundation for University Key Teachers by the Ministry of Education, China.

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摘要： The thermodynamics of the vortex lattice of high-temperature superconductors has been studied by solving the generalized Ginzburg-Landau equations derived microscopically. Our numerical simulation indicates that the structure of the vortex lattice is oblique at the temperature far away from the transition temperature Tc, where the mixed s-dx2-y2 state is expected to have the lowest energy. Whereas, very close to Tc, the dx2-y2 wave is slightly lower energetically, and a triangular vortex lattice recovers. The coexistence and the coupling between the s and d waves would account for the unusual dynamic behaviours such as the upward curvature of the upper critical field curve HC2(T), as observed in dc magnetization measurements on single-crystal YBa2Cu3O7 samples.

Abstract: The thermodynamics of the vortex lattice of high-temperature superconductors has been studied by solving the generalized Ginzburg-Landau equations derived microscopically. Our numerical simulation indicates that the structure of the vortex lattice is oblique at the temperature far away from the transition temperature Tc, where the mixed s-d$_{x^2-y^2}$ state is expected to have the lowest energy. Whereas, very close to Tc, the d$_{x^2-y^2}$ wave is slightly lower energetically, and a triangular vortex lattice recovers. The coexistence and the coupling between the s and d waves would account for the unusual dynamic behaviours such as the upward curvature of the upper critical field curve HC2(T), as observed in dc magnetization measurements on single-crystal YBa2Cu3O7 samples.

Key words: Ginzburg-Landau theory, vortex lattice, high-temperature superconductor

中图分类号:  (Phenomenological theories (two-fluid, Ginzburg-Landau, etc.))

  • 74.20.De
74.25.Bt (Thermodynamic properties) 74.25.Op (Mixed states, critical fields, and surface sheaths) 74.25.Ha (Magnetic properties including vortex structures and related phenomena) 74.10.+v (Occurrence, potential candidates)