Correlations in Two-Dimensional Vortex Liquids

Abstract

We report on a high temperature perturbation expansion study of the superfluid-density spatial correlation function of a Ginzburg-Landau-model superconducting film in a magnetic field. We have derived a closed form which expresses the contribution to the correlation function from each graph of the perturbation theory in terms of the number of Euler paths around appropriate subgraphs. We have enumerated all graphs appearing out to 10-th order in the expansion and have evaluated their contributions to the correlation function. Low temperature correlation functions, obtained using Padé approximants, are in good agreement with Monte Carlo simulation results and show that the vortex-liquid becomes strongly correlated at temperatures well above the vortex solidification temperature.

18 pages (RevTeX 3.0) and 4 figures, available upon request, IUCM93-016

References in corpus (2)

• Two-Dimensional Vortex Lattice Melting
• Quantum Mechanics and Superconductivity in a Magnetic Field

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• Mean field theory of short range order in strongly correlated low dimensional electronic systems
• Partially-ordered vortex lattices in the high-field, low-temperature mixed state of quasi two-dimensional organic superconductors
• Matrix model approach to the flux lattice melting in $2D$ superconductors
• An Improved Nonperturbative Method for Studying Two-dimensional Vortex Liquids
• Degree-preserving graph dynamics -- a versatile process to construct random networks
• On the nature of the phase transitions in two-dimensional type II superconductors