Non-perturbative approach to correlations in two-dimensional vortex liquids

Details Non-perturbative approach to correlations in two-dimensional vortex liquids Non-perturbative approach to correlations in two-dimensional vortex liquids

1995-05-25

arxiv.org/abs/cond-mat/9505119v1

Physics

Condensed Matter

4 pages, Revtex+epsf, 3 figures are included as a uuencoded .eps file

Scientific paper

10.1103/PhysRevLett.76.1142

We calculate the renormalized quartic vertex function of the Ginzburg-Landau model for a superconducting film in a magnetic field by summing an infinite subset of diagrams, the so-called parquet graphs. Using this non-perturbative solution, we obtain the structure factor of the two-dimensional vortex liquid. We find growing crystalline order in the system as the temperature is lowered. Our results suggest that the length scale characterizing the crystalline orderdiverges only in the zero-temperature limit, which indicates the absence of a finite temperature phase transition to the vortex lattice phase.

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