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

A bstract We employ the variational method for the Sturm-Liouville eigenvalue problem to analytically study the phase transition between the holographic insulator and supercon- ductor in the Gauss-Bonnet gravity. By investigating the s-wave and p-wave holographic insulator/superconductor models, we...

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Published inThe journal of high energy physics Vol. 2011; no. 11
Main Authors Pan, Qiyuan, Jing, Jiliang, Wang, Bin
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer-Verlag 01.11.2011
Springer Nature B.V
Subjects
Classical and Quantum Gravitation
Critical phenomena
Eigenvalues
Elementary Particles
Gravitation
High energy physics
Mathematical analysis
P waves
Phase transitions
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Relativity Theory
Solitary waves
String Theory
Black Holes in String Theory
AdS-CFT Correspondence
Holography and condensed matter physics (AdS/CMT)
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Summary:A bstract We employ the variational method for the Sturm-Liouville eigenvalue problem to analytically study the phase transition between the holographic insulator and supercon- ductor 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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP11(2011)088