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- W2394095058 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 /r 2 + χ|ψ|2 /L 2 + β|ψ|4 /(2r k ) is introduced within the Lagrangian system. This provides more flexibility within the model, when the superconducting system is close to the transition temperature T c. Overall, our result demonstrates that the Ginzburg-Landau differential equations can be directly deduced from Einstein’s theory of general relativity." @default.
- W2394095058 created "2016-06-24" @default.
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- W2394095058 date "2016-10-01" @default.
- W2394095058 modified "2023-10-17" @default.
- W2394095058 title "The emergence of superconducting systems in Anti-de Sitter space" @default.
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- W2394095058 doi "https://doi.org/10.1007/jhep10(2016)017" @default.
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