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Exact solution of the Lawrence-Doniach model in parallel magnetic fields

Sergey V. Kuplevakhsky
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Abstract

For the first time, we obtain the complete and exact analytical solution of the Lawrence-Doniach model for layered superconductors in external parallel magnetic fields. By solving a nontrivial mathematical problem of exact minimization of the free-energy functional, we derive a closed, self-consistent system of mean-field equations involving only two variables. Exact solutions to these equations prove simultaneous penetration of Josephson vortices into all the barriers, yield a completely new expression for the lower critical field, refute the concept of a triangular Josephson vortex lattice and clarify the physics of Fraunhofer oscillations of the total critical Josephson current. PACS numbers: 74.80.Dm, 74.20.De, 74.50.+r

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Sergey V. Kuplevakhsky. 1999-01-21. Exact solution of the Lawrence-Doniach model in parallel magnetic fields. https://arxiv.org/abs/cond-mat/9901218

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