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

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

1995-01-06

arxiv.org/abs/cond-mat/9501012v1

Physics

Condensed Matter

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

Scientific paper

10.1103/PhysRevB.51.16259

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.

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