Long-Range Order of Vortex Lattices Pinned by Point Defects in Layered Superconductors

Abstract

How the vortex lattice orders at long range in a layered superconductor with weak point pinning centers is studied through a duality analysis of the corresponding frustrated XY model. Vortex-glass order emerges out of the vortex liquid across a macroscopic number of weakly coupled layers in perpendicular magnetic field as the system cools down. Further, the naive magnetic-field scale determined by the Josephson coupling between adjacent layers is found to serve as an upperbound for the stability of any possible conventional vortex lattice phase at low temperature in the extreme type-II limit.

13 pgs., 1 table, published version

References in corpus (9)

• Equilibrium First-Order Melting and Second-Order Glass Transitions of the Vortex Matter in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_8$
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• A renormalization approach for the 2D Anderson model at the band edge: Scaling of the localization volume

Cited by in corpus (2)

• Interplay of Anisotropy and Disorder in the Doping-Dependent Melting and Glass Transitions of Vortices in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• Phase diagram of vortex matter in layered superconductors with random point pinning