Melting of the vortex lattice in high $T_c$ superconductors

Abstract

The precise measurements of vortex melting point towards a need to develop a quantitative theoretical description of thermal fluctuations in vortex matter. To tackle the difficult problem of melting, the description of both the solid and the liquid phase should reach the precision level well below 0.1%. Such a theory in the framework of the Ginzburg - Landau approach is presented. The melting line location is determined and magnetization, specific heat jumps along it are calculated. We find that the magnetization in the liquid is larger than that in the solid by 1.8% regardless of the melting temperature, while the specific heat jump is about 6% and slowly decreases with temperature. The magnetization curves agree with experimental results on $YBCO$ and Monte Carlo simulations.

arXiv comment4 pages and 3 figures

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Cited by in corpus (20)

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• Dynamic ordering of driven vortex matter in the peak effect regime of amorphous MoGe films and 2H-NbSe2 crystals
• Theory of the vortex matter transformations in high Tc superconductor YBCO
• Electrical conductivity beyond linear response in layered superconductors under magnetic field
• Melting of vortex lattice in magnetic superconductor $\mathrm{Rb}\mathrm{Eu}{\mathrm{Fe}}_4{\mathrm{As}}_4$
• Superconductivity and the high field ordered phase in the heavy fermion compound PrOs${}_4$Sb${}_{12}$
• Exploring metastability via the third harmonic measurements in single crystals of $2H$-$NbS{e}_2$ showing anomalous Peak effect
• Supercooled vortex liquid and quantitative theory of melting of the flux line lattice in type II superconductors
• Magnetic properties of Type I and II Weyl Superconductors
• Large Broadening of the Superconducting Transition by Fluctuations in a 3D Metal at High Magnetic Fields: The MgB${}_2$ case
• The Absence of Vortex Lattice Melting in a Conventional Superconductor
• Effect of pinning and driving force on the metastability effects in weakly pinned superconductors and the determination of spinodal line pertaining to order-disorder transition
• Thermodynamics of the vortex liquid in heavy ion-irradiated superconductors
• Emergence of quasi-metallic state in disordered 2D electron gas due to strong interactions
• Complex conductivity in strongly fluctuating layered superconductors
• Phase Diagram of Vortices in High-T_c Superconductors with a Melting Line in the deep H_{c2} Region
• Nonpertubative Many-Body Theory for the Two-Dimensional Hubbard Model at Low Temperature: From Weak to Strong Coupling Regimes
• Designing high-performance superconductors with nanoparticle inclusions: comparisons to strong pinning theory