Phase transitions in the mesoscopic superconducting square

Details Phase transitions in the mesoscopic superconducting square Phase transitions in the mesoscopic superconducting square

2001-06-12

arxiv.org/abs/cond-mat/0106212v1

Physics

Condensed Matter

Superconductivity

4 pages, 3 figures (in color)

Scientific paper

10.1103/PhysRevB.65.012509

We solve the Ginzburg-Landau equation (GLE) for the mesoscopic thin film of the square shape in the magnetic field. In the limit of Ginzburg-Landau parameter $\kappa \to \infty$ we find a series of first and second order phase transitions as temperature and/or magnetic field changes. First order phase transitions between giant flux states can be described with a simple variational procedure. We discuss the similarity with rotating liquid $He^4$ and derive a simple formula for $H_{c1}$. We identify order parameters based on symmetry arguments and we propose Landau functional describing the second order phase transition.

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