First integrals of Ginzburg-Landau equations and stability criteria for vortex-free state in unconventional superconductors

Details First integrals of Ginzburg-Landau equations and stability criteria for vortex-free state in unconventional superconductors First integrals of Ginzburg-Landau equations and stability criteria for vortex-free state in unconventional superconductors

2000-11-03

arxiv.org/abs/cond-mat/0011058v1

Physica C v. 339, issue 1, pp. 10-16 (2000)

Physics

Condensed Matter

Superconductivity

8 pages, pdf file, no figures

Scientific paper

10.1016/S0921-4534(00)00330-0

The first integrals of the Ginzburg-Landau equations for a vortex-free state of superconductors with different mixed symmetries of the order parameter are found. The general boundary conditions for the order parameter at the ideal interface between the superconductor and vacuum are derived. Based on these integrals and boundary conditions, we analyze the stability criteria for vortex-free state in unconventional superconductors. The threshold field above which the Abrikosov vortices can enter the superconductor is found to be higher or equal to the thermodynamic critical field for all states under study.

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