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- Title
Effects of massive gravity on s-wave holographic superconductor.
- Authors
Parai, Diganta; Pal, Suchetana; Gangopadhyay, Sunandan
- Abstract
In this paper, analytical investigation of the properties of s -wave holographic superconductors in the background of a massive gravity theory in the probe limit has been carried out by employing the Sturm–Liouville eigenvalue method. We obtain the analytical expression for the relation between the critical temperature and the charge density. We also obtain the expression for the condensation operator and value of the critical exponent. We observe that as we increase the massive gravity couplings, the critical temperature increases and the condensate decreases. Then we compute the frequency dependence of conductivity by solving analytically the wave equation for electromagnetic perturbations. From the real part of the conductivity, we finally estimate the energy band gap. Our results show that as one keeps on increasing the coupling parameters of the massive gravity background, the band gap energy increases compared to the holographic superconductors constructed in the Einstein gravity background. The results indicate that massive background is more favorable than Einstein gravity background for constructing a gravity dual of the strongly coupled high T c superconductor as it enhances the value of the critical temperature.
- Subjects
EINSTEIN, Albert, 1879-1955; SUPERCONDUCTORS; SHEAR waves; BAND gaps; PERTURBATION theory; CRITICAL temperature; HOLOGRAPHIC interferometry; HOLOGRAPHY; GRAVITY
- Publication
International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics, 2023, Vol 38, Issue 4/5, p1
- ISSN
0217-751X
- Publication type
Article
- DOI
10.1142/S0217751X2350032X