On the melting of the nanocrystalline vortex matter in high-temperature superconductors

Abstract

Multilevel Monte Carlo simulations of the vortex matter in the highly-anisotropic high-temperature superconductor Bi${}_2$Sr${}_2$CaCu${}_2$O${}_8$ were performed. We introduced low concentration of columnar defects satisfying $B_{\varphi }\le B$. Both the electromagnetic and Josephson interactions among pancake vortices were included. The nanocrystalline, nanoliquid and homogeneous liquid phases were identified in agreement with experiments. We observed the two-step melting process and also noted an enhancement of the structure factor just prior to the melting transition. A proposed theoretical model is in agreement with our findings.

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References in corpus (9)

• Melting of 'porous' vortex matter
• First order phase transition from the vortex liquid to an amorphous solid
• Vortex nanoliquid in high-temperature superconductors
• Two-step melting of the vortex solid in layered superconductors with random columnar pins
• Defect-unbinding and the Bose-glass transition in layered superconductors
• Delocalization in two dimensional disordered Bose systems and depinning transition in the vortex state in superconductors
• Interpolation of the Josephson interaction in highly anisotropic superconductors from a solution of the two dimensional sine-Gordon equation
• Effects of columnar disorder on flux-lattice melting in high-temperature superconductors
• Flux melting in BSCCO: Incorporating both electromagnetic and Josephson couplings

Cited by in corpus (4)

• Langevin Dynamics of the vortex matter two-stage melting transition in Bi_2Sr_2CaCu_2O${}_{8+\delta }$ in the presence of straight and of tilted columnar defects
• Multiple Changes of Order of the Vortex Melting Transition in BSCCO with Dilute Columnar Defects
• Non-classical Rotational Inertia in a Two-dimensional Bosonic Solid Containing Grain Boundaries
• Monte Carlo Simulation of the Crossover from Bose Glass to Bragg Glass Phase in Layered BSCCO with Columnar Defects