Interplay of Anisotropy and Disorder in the Doping-Dependent Melting and Glass Transitions of Vortices in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$

Abstract

We study the oxygen doping dependence of the equilibrium first-order melting and second-order glass transitions of vortices in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$. Doping affects both anisotropy and disorder. Anisotropy scaling is shown to collapse the melting lines only where thermal fluctuations are dominant. Yet, in the region where disorder breaks that scaling, the glass lines are still collapsed. A quantitative fit to melting and replica symmetry breaking lines of a 2D Ginzburg-Landau model further reveals that disorder amplitude weakens with doping, but to a lesser degree than thermal fluctuations, enhancing the relative role of disorder.

arXiv comment4 pages, 4 figures

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Cited by in corpus (13)

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• Strong thermal fluctuations in cuprate superconductors in magnetic field above Tc
• Spin, orbital, Weyl and other glasses in topological superfluids
• Phase diagram of randomly pinned vortex matter in layered superconductors: dependence on the details of the point pinning
• Transport Properties of Vortex Matter Governed by the Edge Inductance of Superconducting Bi${}_2$Sr${}_2$CaCu${}_2$O${}_8$ Single Crystals
• Unified Phase Diagram for the Three-Dimensional XY Model of a Point Disordered Type-II Superconductor
• Lamellar mesophase nucleated by Josephson vortices at the melting of the vortex lattice in $B{i}_{2}S{r}_{2}CaC{u}_2{O}_{8+delta}$
• Field cooling memory effect in Bi2212 and Bi2223 single crystals
• Phase Diagram of Vortices in High-T_c Superconductors with a Melting Line in the deep H_{c2} Region
• Monte Carlo Simulation of the Crossover from Bose Glass to Bragg Glass Phase in Layered BSCCO with Columnar Defects