Matrix model approach to the flux lattice melting in $2D$ superconductors

Abstract

We investigate a gauged matrix model in the large $N$ limit which is closely related to the superconductor fluctuation and the flux lattice melting in two dimensions. With the use of saddle point method the free energy is expanded up to eighth order for the coupling constant $g$. In the case that the coefficient of quadratic term of the Ginzburg-Landau matrix model is negative, a critical point $g=g_c$ is obtained in the large $N$ limit and the relation between this phase transition and the 2D flux lattice melting transition is discussed.

REVTeX file, 20 pages + 3 figures attached as uu-encoded ps-files

References in corpus (8)

• Two-Dimensional Vortex Lattice Melting
• Correlation Functions in Disordered Systems
• Universality of Brezin and Zee's Spectral Correlator
• Vortex lattce melting in 2D superconductors and Josephson arrays
• Correlations in Two-Dimensional Vortex Liquids
• Exponent of n-Ising matter fields coupled to 2d gravity
• Thermal ensemble of string gas in a magnetic field
• Renormalized expansion for matrix models

Cited by in corpus (2)

• The Flux-Line Lattice in Superconductors
• Langevin Simulation of Nonlocal Ginzburg-Landau Model for Superconductors in a Magnetic Field