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Holographic insulator/superconductor phase transition in higher dimensional Gauss–Bonnet gravity

Abstract In this work, we have analytically investigated the insulator/superc-onductor phase transition in the presence of d -dimensional Gauss–Bonnet AdS soliton background. Using the Sturm–Liouville eigenvalue method, we have calculated… Click to show full abstract

Abstract In this work, we have analytically investigated the insulator/superc-onductor phase transition in the presence of d -dimensional Gauss–Bonnet AdS soliton background. Using the Sturm–Liouville eigenvalue method, we have calculated the value of the critical chemical potential μ c in any arbitrary dimension d ≥ 5 . We have then studied the condensation operator values and charge density in terms of the chemical potential and discussed the d = 5 , 6 , 7 cases using our general results in d dimensions. Our analytical results agree very well with the numerical findings in the literature.

Keywords: phase transition; gauss bonnet; insulator; dimensional gauss

Journal Title: Annals of Physics
Year Published: 2019

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