Variational method to study vortex matter in mesoscopic superconductors

Details Variational method to study vortex matter in mesoscopic superconductors Variational method to study vortex matter in mesoscopic superconductors

2000-11-08

arxiv.org/abs/cond-mat/0011134v1

Physica C 356, 225 (2001).

Physics

Condensed Matter

Superconductivity

10 pages, 5 figures, submitted to Physica C

Scientific paper

10.1016/S0921-4534(01)00166-6

A simple variational model is proposed to analyze the superconducting state in long cylindrical type-II superconductor placed in the external magnetic field. In the framework of this model, it is possible to solve the Ginzburg-Landau equations for the states with axially symmetric distributions of the order parameter. Phase transitions between different superconducting states are studied in the presence of external magnetic field and an equilibrium phase diagram of thin cylinder is obtained. The lower critical field of the cylindrical type-II superconductor with arbitrary values of radius and Ginzburg-Landau parameter is found. The field dependence of the magnetization of thin cylinder, which can carry several magnetic flux quanta, is calculated.

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