Vortices in layered superconductors with columnar pins: A density-functional study

Chandan Dasgupta, Oriol T. Valls

Research output: Contribution to journalArticlepeer-review

15 Scopus citations

Abstract

We use numerical minimization of a model free energy functional to study the effects of columnar pinning centers on the structure and thermodynamics of a system of pancake vortices in the mixed phase of highly anisotropic layered superconductors. The magnetic field and the columnar pins are assumed to be perpendicular to the layers. Our methods allow us to study in detail the density distribution of vortices in real space. We present results for the dependence of the average number of vortices trapped at a pinning center on temperature and pinning strength, and for the effective interaction between nearby pinned vortices arising from short-range correlations in the vortex liquid. For a commensurate, periodic array of pinning centers, we find a line of first order vortex lattice melting transitions in the temperature T vs pin concentration c plane, which terminates at an experimentally accessible critical point as c is increased. Beyond this point, the transition is replaced by a crossover. Our results should also apply, with little change, to thin-film superconductors with strong point pinning.

Original languageEnglish (US)
Article number064518
Pages (from-to)645181-6451814
Number of pages5806634
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume66
Issue number6
DOIs
StatePublished - Aug 1 2002

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