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Title: The emergence of superconducting systems in Anti-de Sitter space
Authors: Wu, Wai M.
Pierpoint, Michael P.
Forrester, Michael
Kusmartsev, F.V.
Keywords: Superconductivity
Anti-de Sitter
Ginzburg-Landau
Fractals
Condensed matter physics
Cosmology
Issue Date: 2016
Publisher: Springer © The Author(s)
Citation: WU, W.M. ... et al, 2016. The emergence of superconducting systems in Anti-de Sitter space. Journal of High Energy Physics, 2016 (17).
Abstract: In this article, we investigate the mathematical relationship between a (3+1) dimensional gravity model inside Anti-de Sitter space AdS4, and a (2+1) dimensional superconducting system on the asymptotically flat boundary of AdS4 (in the absence of gravity). We consider a simple case of the Type II superconducting model (in terms of Ginzburg-Landau theory) with an external perpendicular magnetic field H. An interaction potential V (r, ψ) = α(T)|ψ|2/r2 + χ|ψ|2/L2 + β|ψ|4/(2rk) is introduced within the Lagrangian system. This provides more flexibility within the model, when the superconducting system is close to the transition temperature Tc. Overall, our result demonstrates that the Ginzburg-Landau differential equations can be directly deduced from Einstein’s theory of general relativity.
Description: This is an Open Access Article. It is published by Springer under the Creative Commons Attribution 4.0 Unported Licence (CC BY). Full details of this licence are available at: http://creativecommons.org/licenses/by/4.0/
Version: Published
DOI: 10.1007/JHEP10(2016)017
URI: https://dspace.lboro.ac.uk/2134/22928
Publisher Link: http://dx.doi.org/10.1007/JHEP10(2016)017
ISSN: 1029-8479
Appears in Collections:Published Articles (Chemical Engineering)

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