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arXiv · 1311.7640

Chern-Simons Superconductor

Nabamita Banerjee·Suvankar Dutta·Dibakar Roychowdhury
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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.

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Nabamita Banerjee, Suvankar Dutta, Dibakar Roychowdhury. 2013-11-29. Chern-Simons Superconductor. https://doi.org/10.1088/0264-9381/31/24/245005

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