Physics – Condensed Matter – Superconductivity
Scientific paper
2002-04-09
Phys. Rev. B66, 064518 (2002)
Physics
Condensed Matter
Superconductivity
15 pages including 17 Figures. Higher resolution gray scale plots available from authors
Scientific paper
10.1103/PhysRevB.66.064518
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.
Dasgupta Chandan
Valls Oriol T.
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