Fangohr, Hans, J.Dodgson, Matthew, Groot, Peter A.J. de and Cox, Simon J.
Computer simulation studies of a layered pancake system using the substrate model.
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We study the melting line of a layered pancake system in the limit of zero Josephson coupling. Employing the substrate model , we represent all attractive out-of-layer interactions by a substrate potential, which pancakes experience in addition to the in-layer pancake repulsion. We use a time-average of pancake positions in one layer to iteratively compute the substrate potential. The method is self-consistent, and the system converges to a solid or a liquid phase depending on temperature and pancake density. This method overcomes problems in other simulation studies related to the large range of the interactions between different layers, and allows us to compute the the melting line for a three-dimensional pancake system with electromagnetic interactions.  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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