Numerical simulation of the substrate model for pancake vortices in a layered superconductor
Numerical simulation of the substrate model for pancake vortices in a layered superconductor
We study numerically a layered pancake-vortex system in the limit of zero Josephson coupling. We take into account the long-range nature of the pancake interaction in the c-direction, by employing the substrate model[1]: all attractive out-of-layer interactions are represented by a substrate potential, which pancakes experience in addition to the in-layer pancake repulsion. Using a time-averaged pancake-density, we compute a new substrate potential iteratively. We start with a substrate corresponding to a pancake solid. The self-consistent method then converges either to a solid state, or to a pancake liquid. Using our method, we compute the melting line for a three-dimensional pancake system with electromagnetic interactions. [1] M. J. W. Dodgson, A. E. Koshelev, V. B. Geshkenbein, and G. Blatter, "Evaporation of the Pancake-Vortex Lattice in Weakly-Coupled Layered Superconductors", Phys. Rev. Lett. 84, 2698 (2000).
American Physical Society
Fangohr, Hans
9b7cfab9-d5dc-45dc-947c-2eba5c81a160
Dodgson, Matthew J.
0fc9338e-a0a7-43d0-b287-f42542f03602
de Groot, P.A.J.
98c21141-cf90-4e5c-8f2b-d2aae8efb84d
Cox, Simon J.
0e62aaed-24ad-4a74-b996-f606e40e5c55
March 2002
Fangohr, Hans
9b7cfab9-d5dc-45dc-947c-2eba5c81a160
Dodgson, Matthew J.
0fc9338e-a0a7-43d0-b287-f42542f03602
de Groot, P.A.J.
98c21141-cf90-4e5c-8f2b-d2aae8efb84d
Cox, Simon J.
0e62aaed-24ad-4a74-b996-f606e40e5c55
Fangohr, Hans, Dodgson, Matthew J., de Groot, P.A.J. and Cox, Simon J.
(2002)
Numerical simulation of the substrate model for pancake vortices in a layered superconductor.
Abstract
We study numerically a layered pancake-vortex system in the limit of zero Josephson coupling. We take into account the long-range nature of the pancake interaction in the c-direction, by employing the substrate model[1]: all attractive out-of-layer interactions are represented by a substrate potential, which pancakes experience in addition to the in-layer pancake repulsion. Using a time-averaged pancake-density, we compute a new substrate potential iteratively. We start with a substrate corresponding to a pancake solid. The self-consistent method then converges either to a solid state, or to a pancake liquid. Using our method, we compute the melting line for a three-dimensional pancake system with electromagnetic interactions. [1] M. J. W. Dodgson, A. E. Koshelev, V. B. Geshkenbein, and G. Blatter, "Evaporation of the Pancake-Vortex Lattice in Weakly-Coupled Layered Superconductors", Phys. Rev. Lett. 84, 2698 (2000).
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Published date: March 2002
Additional Information:
Oral presentation at March Meeting 2002, Indianapolis, USA. Organisation: American Physical Society
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Electronics & Computer Science
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Local EPrints ID: 256496
URI: http://eprints.soton.ac.uk/id/eprint/256496
PURE UUID: fbc09d35-88a8-4c0c-a82f-a8e3ae95429d
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Date deposited: 22 Apr 2002
Last modified: 11 Dec 2021 03:32
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Author:
Matthew J. Dodgson
Author:
P.A.J. de Groot
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