Chern-Simons Superconductor
Abstract
We study the effect of a bulk Chern-Simons (CS) term on 3+1 dimensional type II superconductor in the context of the AdS/CFT correspondence. We holographically compute the super-current and find that it is non-local in nature. It receives non trivial corrections due to presence of the CS term. Considering a large limit of a parameter "lambda" (we call this limit as long wave length limit), which is effectively the high temperature limit of the theory, we find that this non-local super-current boils down to a local quantity. The leading term (without the CS term) of this current matches with the result of Ginzburg-Landau (GL) theory. We compute the effect of the CS term on GL current and find that the effect is highly suppressed at large temperature (~1/T^4). Finally, free energy of the vortex configuration has been calculated. The free energy also receives non trivial correction at the order of 1/lambda^2 in the long wave length approximation.
Cite
@article{arxiv.1311.7640,
title = {Chern-Simons Superconductor},
author = {Nabamita Banerjee and Suvankar Dutta and Dibakar Roychowdhury},
journal= {arXiv preprint arXiv:1311.7640},
year = {2015}
}
Comments
1+35 pages and 1 figure. Spelling corrected