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.
Received: 24 September 2000
Revised: 23 December 2000
Accepted manuscript online:
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