Noncommutative effects of charged black hole on holographic superconductors

Parai, Diganta; Ghorai, Debabrata; Gangopadhyay, Sunandan

doi:10.1007/s10714-018-2471-4

Cited by 2 publications

(1 citation statement)

References 54 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Then using this correspondence one can get a picture of some of the properties of the corresponding strongly coupled field theoretic system living on the boundary of AdS spacetime. The studies conducted to understand high T c superconductors in the framework of usual Maxwell [5]- [16] as well as Born infeld electrodynamics [17]- [28] has been carried out extensively. The holographic description of a s-wave superconductor can be described by a charged black hole, minimally coupled to a complex scalar field which manifests local spontaneous U (1) symmetry breaking.…”

Section: Introductionmentioning

confidence: 99%

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

Parai¹,

Pal²,

Gangopadhyay³

2022

Preprint

Self Cite

View full text Add to dashboard Cite

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 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. Our findings show that as we increase the massive gravity couplings the critical temperature increases and the condensate decreases. More precisely we observe that the presence of massive graviton increases the critical temperature compared to the superconductors in Einstein gravity at some point if we keep on increasing the coupling constants. We also obtain 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.

show abstract