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The emergence of superconducting systems in Anti-de Sitter space

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posted on 21.10.2016 by Wai M. Wu, Michael P. Pierpoint, Derek Michael Forrester, Feodor Kusmartsev
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.

History

School

  • Aeronautical, Automotive, Chemical and Materials Engineering

Department

  • Chemical Engineering

Published in

Journal of High Energy Physics

Volume

2016

Issue

17

Pages

1 - 14

Citation

WU, W.M. ... et al, 2016. The emergence of superconducting systems in Anti-de Sitter space. Journal of High Energy Physics, 2016 (17).

Publisher

Springer © The Author(s)

Version

VoR (Version of Record)

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution 4.0 International (CC BY 4.0) licence. Full details of this licence are available at: http://creativecommons.org/licenses/ by/4.0/

Acceptance date

29/09/2016

Publication date

2016-10-05

Notes

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/

ISSN

1029-8479

Language

en

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