Non-perturbative approach to correlations in two-dimensional vortex liquids
Condensed Matter
2009-10-28 v1
Abstract
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.
Cite
@article{arxiv.cond-mat/9505119,
title = {Non-perturbative approach to correlations in two-dimensional vortex liquids},
author = {Joonhyun Yeo and M. A. Moore},
journal= {arXiv preprint arXiv:cond-mat/9505119},
year = {2009}
}
Comments
4 pages, Revtex+epsf, 3 figures are included as a uuencoded .eps file