Vortex matter in layered superconductors without Josephson coupling : numerical simulations within a mean-field approach

We study vortex matter in layered superconductors in the limit of zero Josephson coupling. The long range of the interaction between pancake vortices in the c direction allows us to employ a mean-field method: all attractive interlayer interactions are reduced to an effective substrate potential, wh...

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Bibliographic Details
Published in:Physical review. B, Condensed matter and materials physics Condensed matter and materials physics, 2003-05, Vol.67 (May 1, 2003)
Main Authors: Fangohr, H., Koshelev, A. E., Dodgson, M. J. W., Materials Science Division, Univ. of Southampton, Univ. of Cambridge
Format: Article
Language:English
Subjects:
CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
COUPLING
JOSEPHSON JUNCTIONS
MATTER
MEAN-FIELD THEORY
NUMERICAL ANALYSIS
SIMULATION
SUPERCONDUCTORS
VORTICES
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Summary:We study vortex matter in layered superconductors in the limit of zero Josephson coupling. The long range of the interaction between pancake vortices in the c direction allows us to employ a mean-field method: all attractive interlayer interactions are reduced to an effective substrate potential, which pancakes experience in addition to the same-layer pancake repulsion. We perform numerical simulations of this mean-field model using two independent numerical implementations with different simulation methods (Monte Carlo sampling and Langevin molecular dynamics). The substrate potential is updated self-consistently from the averaged pancake density. Depending on temperature, this potential converges to a periodic profile (crystal) or vanishes (liquid). We compute thermodynamic properties of the system, such as the melting line, the instability line of the crystal, and the entropy jump across the melting transition. The simulation results are in good agreement with approximate analytical calculations.
ISSN:1098-0121
1550-235X
DOI:10.1103/PhysRevB.67.174508