Characteristics of First-Order Vortex Lattice Melting: Jumps in Entropy and Magnetization

Abstract

We derive expressions for the jumps in entropy and magnetization characterizing the first-order melting transition of a flux line lattice. In our analysis we account for the temperature dependence of the Landau parameters and make use of the proper shape of the melting line as determined by the relative importance of electromagnetic and Josephson interactions. The results agree well with experiments on anisotropic Y${}_1$Ba${}_2$Cu${}_3$O${}_{7-\delta }$ and layered Bi${}_2$Sr${}_2$Ca${}_1$Cu${}_2$O${}_8$ materials and reaffirm the validity of the London model.

4 pages. We have restructured the paper to emphasize that in the London scaling regime (appropriate for YBCO) our results are essentially exact. We have also emphasized that a major controversy over the relevance of the London model to describe VL melting has been settled by this work

References in corpus (1)

• Universal Phase Diagram for Vortex States of Layered Superconductors in Strong Magnetic Fields

Cited by in corpus (27)

• Abrupt Change of Josephson Plasma Frequency at the Phase Boundary of the Bragg Glass in Bi_2Sr_2CaCu_2O_{8+δ}
• Topological phase-fluctuations, amplitude fluctuations, and criticality in extreme type-II superconductors
• Extreme Type-II Superconductors in a Magnetic Field: A Theory of Critical Fluctuations
• Effect of pinning on the vortex-lattice melting line in type-II superconductors
• Phase-coherence and the boson-analogy of vortex liquids
• Numerical study of vortex matter using the Bose model: First-order melting and entanglement
• Evaporation of the pancake-vortex lattice in weakly-coupled layered superconductors
• Decoupled two-dimensional superconductivity and continuous melting transitions in layered superconductors immersed in a parallel magnetic field
• Flux Line Lattice Melting and the Formation of a Coherent Quasiparticle Bloch State in the Ultraclean URu${}_2$Si${}_2$ Superconductor
• Vortex matter in layered superconductors without Josephson coupling: numerical simulations within a mean-field approach
• Hall Anomaly and Vortex-Lattice Melting in Superconducting Single Crystal YBa2Cu3O7-d
• Correlation Lengths in the Vortex Line Liquid of a High Tc Superconductor
• Universal properties for linelike melting of the vortex lattice
• Latent-heat and non-linear vortex liquid at the vicinity of the first-order phase transition in layered high-Tc superconductors
• Thermodynamics of the first-order vortex lattice melting transition in YBa${}_2$Cu${}_3$O${}_{7-\delta }$
• Crystal-lattice coupling to the vortex-melting transition in YBa2Cu3O7-d
• Dynamics vs electronic states of vortex core of high-T_c superconductors investigated by high-frequency impedance measurement
• Defect induced melting of vortices in high-${\mathbf{T}}_{\mathbf{c}}$ superconductors: A model based on continuum elasticity theory
• Vortex Lattice Depinning vs. Vortex Lattice Melting: a pinning-based explanation of the equilibrium magnetization jump
• Superconducting Coherence and the Helicity Modulus in Vortex Line Models
• Viscoelasticity and Surface Tension at the Defect-Induced First-Order Melting Transition of a Vortex Lattice
• Entanglement in Dilute Flux Line Liquids
• Equilibrium magnetization in the vicinity of the first order phase transition in the mixed state of high-Tc superconductors
• Estimates for the thermodynamic signatures of vortex-lattice melting in conventional superconductors
• Effect of quenched disorder in the entropy-jump at the first-order vortex phase transition of Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• Numerical study of vortex system quantum melting
• Observation of a first-order phase transition deep within the vortex-solid region of YBa2Cu3O7