Vortices in a thin-film superconductor with a spherical geometry
- 1 February 1997
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 55 (6) , 3816-3831
- https://doi.org/10.1103/physrevb.55.3816
Abstract
We report results from Monte Carlo simulations of a thin-film superconductor in a spherical geometry within the lowest-Landau-level approximation. We observe the absence of a phase transition to a low-temperature vortex solid phase with these boundary conditions; the system remains in the vortex liquid phase for all accessible temperatures. The correlation lengths are measured for phase coherence and density modulation. Both lengths display identical temperature dependences, with an asymptotic scaling form consistent with a continuous zero-temperature transition. This contrasts with the first-order freezing transition which is seen in the alternative quasiperiodic boundary conditions. The high-temperature perturbation theory and the ground states of the spherical system suggest that the thermodynamic limit of the spherical geometry is the same as that on the flat plane. We discuss the advantages and drawbacks of simulations with different geometries, and compare with current experimental conclusions. The effect of having a large-scale inhomogeneity in the applied field is also considered.Keywords
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This publication has 35 references indexed in Scilit:
- Nonperturbative Approach to Correlations in Two-Dimensional Vortex LiquidsPhysical Review Letters, 1996
- Absence of the Transition into Abrikosov Vortex State of Two-Dimensional Type-II Superconductor with Weak PinningPhysical Review Letters, 1995
- Monte Carlo studies of the two-dimensional vortex liquid: Absence of transition and dynamical propertiesPhysical Review B, 1994
- Two-dimensional vortex lattice meltingPhysical Review Letters, 1993
- Monte Carlo investigation of the properties of the vortex liquid in two-dimensional superconductorsPhysical Review B, 1993
- Dislocation-mediated vortex-lattice melting in thin films ofa-GePhysical Review Letters, 1990
- Defects in flexible membranes with crystalline orderPhysical Review A, 1988
- Exact Solution of Schrödinger Equation in Aharonov-Bohm plus Dirac-Monopole PotentialPhysical Review Letters, 1983
- A Monte Carlo study of the classical two-dimensional one-component plasmaJournal of Statistical Physics, 1982
- Flux-lattice melting in thin-film superconductorsPhysical Review B, 1980