Phase Diagram of Vortices in High-Tc Superconductors from Lattice Defect Model with Pinning

Abstract

The theory presented is based on a simple Hamiltonian for a vortex lattice in a weak impurity background which includes linear elasticity and plasticity, the latter in the form of integer valued fields accounting for defects. Within a quadratic approximation in the impurity potential, we find a first-order Bragg-glass, vortex-glass transition line showing a reentrant behavior for superconductors with a melting line near $H_{c2}$. Going beyond the quadratic approximation by using the variational approach of Mézard and Parisi established for random manifolds, we obtain a phase diagram containing a third-order glass transition line. The glass transition line separates the vortex glass and the vortex liquid. Furthermore, we find a unified first-order line consisting of the melting transition between the Bragg glass and the vortex liquid phase as well as a disorder induced first-order line between the Bragg glass and the vortex glass phase. The reentrant behavior of this line within the quadratic approach mentioned above vanished. We calculate the entropy and magnetic induction jumps over the first-order line.

26 pages, 6 figures, typos corrected, An error in Section VI C. (replica symmetric solution in the fluid phase) is corrected leading to changes in the phase diagram in Section IX. Erratum sent to Phys. Rev. B

References in corpus (10)

• Equilibrium First-Order Melting and Second-Order Glass Transitions of the Vortex Matter in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_8$
• Effect of pinning on the vortex-lattice melting line in type-II superconductors
• Triangular Lattice Model of 2D Defect Melting
• Critical properties of the three- and four-dimensional gauge glass
• Amorphous Vortex Glass Phase in Strongly Disordered Superconductors
• Defective Vortex Lattices in Layered Superconductors with Point Pins at the Extreme Type-II Limit
• Nature of the vortex-glass order in strongly type-II superconductors
• Defect induced melting of vortices in high-${\mathbf{T}}_{\mathbf{c}}$ superconductors: A model based on continuum elasticity theory
• Comment on "Effects of Point Defects on the Phase Diagram of Vortex States in High-Tc Superconductors in the B || c Axis"
• Reply to "Comment on "Effects of Point Defects on the Phase Diagram of Vortex States in High-Tc Superconductors in the B//c Axis""

Cited by in corpus (3)

• The Ginzburg-Landau Theory of Type II superconductors in magnetic field
• Unified Phase Diagram for the Three-Dimensional XY Model of a Point Disordered Type-II Superconductor
• Phase Diagram of Vortices in High-T_c Superconductors with a Melting Line in the deep H_{c2} Region