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

Summary: Vortex matter in layered superconductors without Josephson coupling: Numerical simulations
within a mean-field approach
Hans Fangohr
School of Engineering Sciences and Department of Physics and Astronomy, University of Southampton,
Southampton, SO17 1BJ, United Kingdom
Alexei E. Koshelev
Materials Science Division, Argonne National Laboratory, 9700 South Cass Avenue, Argonne, Illinois 60439
Matthew J. W. Dodgson*
Theory of Condensed Matter Group, Cavendish Laboratory, University of Cambridge, Madingley Road,
Cambridge, CB3 0HE, United Kingdom
Received 25 October 2002; published 9 May 2003
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

  

Source: Alexei, Koshelev - Materials Science Division, Argonne National Laboratory

 

Collections: Materials Science; Physics