Vortex-lattice melting in two-dimensional superconducting networks and films.
Vortex-lattice melting in two-dimensional superconducting networks and films.
复制标题
二维超导网络和薄膜中的涡晶格熔化。
DOI:
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发表时间:
1994
期刊:
影响因子:
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通讯作者:
S. Teitel
中科院分区:
文献类型:
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作者:
M. Franz;S. Teitel
We carry out an extensive Monte Carlo study of phase transitions in two-dimensional (2D) superconducting networks, in an applied magnetic field, for square and honeycomb geometries. We consider both systems with a dilute vortex density 1/[ital q], and dense systems near full frustration with vortex density 1/2--1/[ital q]. The dilute case gives the continuum limit as [ital q][r arrow][infinity], and serves as a model for a uniform superconducting film. For this dilute case, we find a transition temperature [ital T][sub [ital c]][similar to]1/[ital q], at which the vortex lattice unpins from the network and forms a floating solid' phase. At a higher temperature [ital T][sub [ital m]], this floating solid melts into a vortex liquid. We analyze the transition at [ital T][sub [ital m]] according to the Kosterlitz-Thouless theory of dislocation mediated melting in 2D. While we find a discontinuous jump in the vortex shear modulus at [ital T][sub [ital m]] which is consistent with this theoy, we find (in opposition to this theory) that the transition is weakly first order, and we find no evidence for a hexatic liquid phase. For the case near full frustration, we find that the system can be described in terms of the densitymore » of defects in an otherwise fully frustrated vortex pattern. These dilute defects result in similar behavior as that found in the dilute vortex system, with pinned, floating, and liquid defect phases.« less