Analytical approach to compute conductivity of 
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-wave holographic superconductors

Pal, Suchetana; Parai, Diganta; Gangopadhyay, Sunandan

doi:10.1103/physrevd.105.065015

Cited by 2 publications

(2 citation statements)

References 33 publications

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“…From eq. (s) (34,37) and eq. ( 36), we obtain the relation between the charge density ρ and the condensation operator…”

Section: Condensation Operator and Critical Exponentmentioning

confidence: 99%

“…Another key aspect of holographic superconductors is their response to an external magnetic field known as the Meissner effect has been carried out in the framework of usual Maxwell electromagnetic theory as well as in power Maxwell electrodynamics [29,30]. 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].…”

Section: Introductionmentioning

confidence: 99%

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

Parai¹,

Pal²,

Gangopadhyay³

2022

Preprint

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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.

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“…From eq. (s) (34,37) and eq. ( 36), we obtain the relation between the charge density ρ and the condensation operator…”

Section: Condensation Operator and Critical Exponentmentioning

confidence: 99%

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

show abstract

Effects of massive gravity on s-wave holographic superconductor

Parai

Pal

Gangopadhyay

2023

Int. J. Mod. Phys. A

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In this paper, analytical investigation of the properties of [Formula: see text]-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 [Formula: see text] superconductor as it enhances the value of the critical temperature.

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Analytical approach to compute conductivity of p -wave holographic superconductors

Cited by 2 publications

References 33 publications

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

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

Effects of massive gravity on s-wave holographic superconductor

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