Vortex lattice for a holographic superconductor
Abstract
We investigate the vortex lattice solution in a (2+1)-dimensional holographic model of superconductors constructed from a charged scalar condensate. The solution is obtained perturbatively near the second-order phase transition and is a holographic realization of the Abrikosov lattice. Below a critical value of magnetic field, the solution has a lower free energy than the normal state. Both the free energy density and the superconducting current are expressed by nonlocal functions, but they reduce to the expressions in the Ginzburg-Landau (GL) theory at long wavelength. As a result, a triangular lattice becomes the most favorable solution thermodynamically as in the GL theory of type II superconductors.
Keywords
Cite
@article{arxiv.0910.4475,
title = {Vortex lattice for a holographic superconductor},
author = {Kengo Maeda and Makoto Natsuume and Takashi Okamura},
journal= {arXiv preprint arXiv:0910.4475},
year = {2010}
}
Comments
v2: minor changes, references added; 11 pages, 2 figures: version to appear in PRD