Participation-Ratio Entropy and Critical Fluctuations in the Thermodynamics of Pancake Vortices

Details Participation-Ratio Entropy and Critical Fluctuations in the Thermodynamics of Pancake Vortices Participation-Ratio Entropy and Critical Fluctuations in the Thermodynamics of Pancake Vortices

1994-10-24

arxiv.org/abs/cond-mat/9410086v1

Physics

Condensed Matter

12 pages (RevTeX 3.0) and 2 figures, available upon request, IUCM94-016

Scientific paper

10.1103/PhysRevB.52.1286

We report on a study of the thermodynamics of the Ginzburg-Landau model for two-dimensional type-II superconductors near the transition from the normal state to the Abrikosov-lattice state. We couch our analysis in terms of the participation-ratio entropy, $s(P)$, which expresses the volume in order-parameter-space with a given participation-ratio for the local superfluid density. $s(P)$ completely determines the thermodynamics of the system. We report on results for $s(P)$ obtained analytically using perturbation expansion methods and numerically using Monte Carlo simulation methods and discuss the weak first-order phase transition which occurs in this system in terms of the properties of $s(P)$.

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