JHEP Oct 2016.pdf (549.85 kB)
The emergence of superconducting systems in Anti-de Sitter space
journal contribution
posted on 2016-10-21, 15:27 authored by Wai M. Wu, Michael P. Pierpoint, Derek Michael Forrester, Feodor KusmartsevIn 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 PhysicsVolume
2016Issue
17Pages
1 - 14Citation
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
2016-09-29Publication date
2016-10-05Notes
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
1029-8479Publisher version
Language
- en