Supercooled vortex liquid and quantitative theory of melting of the flux line lattice in type II superconductors

Abstract

A metastable homogeneous state exists down to zero temperature in systems of repelling objects. Zero ''fluctuation temperature'' liquid state therefore serves as a (pseudo) ''fixed point'' controlling the properties of vortex liquid below and even around melting point. There exists Madelung constant for the liquid in the limit of zero temperature which is higher than that of the solid by an amount approximately equal to the latent heat of melting. This picture is supported by an exactly solvable large $N$ Ginzburg - Landau model in magnetic field. Based on this understanding we apply Borel - Pade resummation technique to develop a theory of the vortex liquid in type II superconductors. Applicability of the effective lowest Landau level model is discussed and corrections due to higher levels is calculated. Combined with previous quantitative description of the vortex solid the melting line is located. Magnetization, entropy and specific heat jumps along it are calculated. The magnetization of liquid is larger than that of solid by irrespective of the melting temperature. We compare the result with experiments on high $T_c$ cuprates $YB{a}_{2}C{u}_3{O}_7$, $DyBCO$, low material $(K,Ba)Bi{O}_3$ and with Monte Carlo simulations.

arXiv comment28 pages and 4 figures. Enlarged version of paper cond-mat/0107281 with many new contents

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Cited by in corpus (10)

• The Ginzburg-Landau Theory of Type II superconductors in magnetic field
• Thermal fluctuations and vortex melting in the classical superconductor Nb3Sn from high-resolution specific-heat measurements
• Melting of vortex lattice in magnetic superconductor $\mathrm{Rb}\mathrm{Eu}{\mathrm{Fe}}_4{\mathrm{As}}_4$
• Strong thermal fluctuations in cuprate superconductors in magnetic field above Tc
• Vortex-lattice melting and paramagnetic depairing in the nematic superconductor FeSe
• Large Broadening of the Superconducting Transition by Fluctuations in a 3D Metal at High Magnetic Fields: The MgB${}_2$ case
• Magnetocaloric Studies of the Peak Effect in Nb
• 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