Holographic insulator/superconductor phase transition via matching method and thermodynamic geometry approach

Abstract

This paper employs two analytical techniques, namely, the matching method and the thermodynamic geometry approach to investigate the insulator/superconductor phase transition holographically in the presence of a five-dimensional AdS soliton background. This is a sequel of our earlier work [D. Parai, S. Gangopadhyay and D. Ghorai, Ann. Phys. 403, 59 (2019)] where we carried out a similar analysis using the Sturm–Liouville eigenvalue approach. We have first used the matching method to obtain the critical chemical potential, condensation operator and the charge density. Next, we investigate the free energy and thermodynamic geometry of this model. This investigation of the thermodynamic geometry leads to the critical chemical potential of the system from the condition of the divergence of the scalar curvature. We have then compared the value of the critical chemical potential [Formula: see text] obtained from these two different methods. The findings are then compared with the numerical and analytical results obtained from the Sturm–Liouville technique.

Effects of massive gravity on $s$-wave holographic superconductor

“…Examples of black holes exhibiting p-wave superconductivity have been observed [31]- [34]. Holographic insulator to superconducor phase transition has also been studied in [35]- [37]. As mentioned earlier, the holographic superconductor has been modeled successfully by Einstein gravity coupled to a matter field.…”