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

Vortex matter in layered superconductors without Josephson coupling: numerical simulations within a mean-field approach
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, 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.
1550-235X
174508-[12pp]
Fangohr, Hans
9b7cfab9-d5dc-45dc-947c-2eba5c81a160
Koshelev, Alexei E.
41e21468-f4ec-4bca-b6c9-4de8e18a5460
Dodgson, Matthew J.W.
da10c31d-3af9-412e-b518-e7a4fcd3cda1
Fangohr, Hans
9b7cfab9-d5dc-45dc-947c-2eba5c81a160
Koshelev, Alexei E.
41e21468-f4ec-4bca-b6c9-4de8e18a5460
Dodgson, Matthew J.W.
da10c31d-3af9-412e-b518-e7a4fcd3cda1

Fangohr, Hans, Koshelev, Alexei E. and Dodgson, Matthew J.W. (2003) Vortex matter in layered superconductors without Josephson coupling: numerical simulations within a mean-field approach. Physical Review B, 67 (17), 174508-[12pp]. (doi:10.1103/PhysRevB.67.174508).

Record type: Article

Abstract

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.

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Published date: 2003
Additional Information: Collected in Virtual Journal of Applications of Superconductivity http://www.vjsuper.org/super/

Identifiers

Local EPrints ID: 22420
URI: https://eprints.soton.ac.uk/id/eprint/22420
ISSN: 1550-235X
PURE UUID: a055da85-538b-4ace-b337-40553a5d24b8

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Date deposited: 21 Mar 2006
Last modified: 17 Jul 2017 16:22

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Contributors

Author: Hans Fangohr
Author: Alexei E. Koshelev
Author: Matthew J.W. Dodgson

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