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Microscopic calculations on the vortex state of type II superconductors

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Abstract

Eilenberger's quasiclassical equations are solved numerically, for the first time without approximations, for a hexagonal vortex lattice. The numerical methods used in this computation are described in detail. Particular emphasis is laid on the thermodynamics of low-κ, type II superconductors, where a first-order transition at the lower critical fieldH c1 occurs (type II/1 behavior). The phase boundary separating type II/1 from type II behavior is computed and compared with the predictions of the asymptotic theory. Besides the thermodynamic properties, the microscopic structure of the order parameter and magnetic field is discussed in detail. On the boundary of the Wigner-Seitz cell the magnetic field shows a new stationary point (saddle point). It should be possible to test this prediction by μSR experiments.

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  1. Institut für Theoretische Physik der Universität Linz, Linz, Austria

    U. Klein

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Klein, U. Microscopic calculations on the vortex state of type II superconductors. J Low Temp Phys 69, 1–37 (1987). https://doi.org/10.1007/BF00681621

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  • DOI: https://doi.org/10.1007/BF00681621

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