Meissner like effect in holographic superconductors with back reaction

Pal, Suchetana; Ghosh, Saumya; Gangopadhyay, Sunandan

doi:10.1016/j.aop.2020.168078

Cited by 4 publications

(2 citation statements)

References 38 publications

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“…There exist a large number of studies to describe the Meissner effect which is another important feature of superconductors from the holographic superconductor point of view [9,10,11,12]. There are also studies on effect of nonlinear electrodynamics and higher curvature correction on holographic superconductor [13,14].…”

Section: Introductionmentioning

confidence: 99%

An analytical approach to compute conductivity of p-wave holographic superconductors

Pal,

Parai,

Gangopadhyay

2022

Preprint

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In this article we have analytically deduced the frequency dependent expression of conductivity and the band gap energy in AdS 4 Schwarzschild background for p-wave holographic superconductors considering Einstein-Yang-Mills theory. We also used the self consistent approach to obtain the expressions of conductivity for different frequency ranges at low temperature. We then compared the imaginary part of conductivity at low frequency region. The band gap energy obtained from these two methods seem to agree very well.

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Section: Introductionmentioning

confidence: 99%

An analytical approach to compute conductivity of p-wave holographic superconductors

Pal,

Parai,

Gangopadhyay

2022

Preprint

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“…The formation of scalar hair below certain critical temperature (T c ) indicates the onset of a condensation in the dual CFT. 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].…”

Section: Introductionmentioning

confidence: 99%

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

Parai¹,

Pal²,

Gangopadhyay³

2022

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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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