Holographic insulator/superconductor phase transition with Weyl corrections. (English) Zbl 1370.82146
Summary: We analytically investigate the phase transition between the holographic insulator and superconductor with Weyl corrections by using the variational method for the Sturm-Liouville eigenvalue problem. We find that similar to the curvature corrections, in the \(p\)-wave model, higher Weyl couplings make the insulator/superconductor phase transition harder to occur. However, in the \(s\)-wave case the Weyl corrections do not influence the critical chemical potential, which is in contrast to the effect caused by the curvature corrections. Moreover, we observe that the Weyl corrections will not affect the critical phenomena and the critical exponent of the system always takes the mean-field value in both models. Our analytic results are in good agreement with numerical findings.
MSC:
| 82D55 | Statistical mechanics of superconductors |
| 82B26 | Phase transitions (general) in equilibrium statistical mechanics |
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