Analytical investigation of the phase transition between holographic insulator and superconductor in Gauss-Bonnet gravity

Details Analytical investigation of the phase transition between holographic insulator and superconductor in Gauss-Bonnet gravity Analytical investigation of the phase transition between holographic insulator and superconductor in Gauss-Bonnet gravity

2011-05-31

arxiv.org/abs/1105.6153v2

JHEP 11 (2011) 088

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

18 pages, 1 figure, 3 tables

Scientific paper

10.1007/JHEP11(2011)088

We employ the variational method for the Sturm-Liouville eigenvalue problem to analytically study the phase transition between the holographic insulator and superconductor in the Gauss-Bonnet gravity. By investigating the s-wave and p-wave holographic insulator/superconductor models, we find that this analytic method is more effective to obtain the analytic results on the condensation and the critical phenomena in the AdS soliton background in Gauss-Bonnet gravity. Our analytic result can be used to back up the numerical computations in the AdS soliton with Gauss-Bonnet correction.

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