English

Degradation of Phase Coherence by Defects in a Two-Dimensional Vortex Lattice

Superconductivity 2009-11-07 v2 Statistical Mechanics

Abstract

The thermodynamic nature of two-dimensional vortex matter is studied theoretically through a duality analysis of the XY model over the square lattice with low uniform frustration. A phase-coherent vortex lattice state is found at low temperature if rigid translations are prohibited. It shows a non-zero phase rigidity that is degraded exclusively by the creation of dislocation pairs. The unbinding of such pairs causes the vortex lattice to simultaneously lose phase coherence and to melt at a continuous (Kosterlitz-Thouless) phase transition. General phase auto-correlation functions are also computed, and these results are used to argue for the existence of a continuous melting transition of vortex matter in layered superconductors.

Keywords

Cite

@article{arxiv.cond-mat/0105524,
  title  = {Degradation of Phase Coherence by Defects in a Two-Dimensional Vortex Lattice},
  author = {J. P. Rodriguez},
  journal= {arXiv preprint arXiv:cond-mat/0105524},
  year   = {2009}
}

Comments

11 pgs. of PLAIN TeX, to appear in PRL, some improvements