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The matching method is employed to analytically investigate the properties of holographic superconductors in higher dimensions in the framework of power Maxwell electrodynamics taking into account the effects of spacetime noncommutativity. The relationship between the critical temperature and the charge density and the value of the condensation ope...
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In this article we employ the matching method to analytically investigate the properties of holographic superconductors in the framework of Maxwell electrodynamics taking into account the effects of back reaction on spacetime. The relationship between the critical temperature ($T_{c}$) and the charge density ($\rho$) has been obtained first. The in...
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... The study of a holographic superconductor model incorporating an uncharged NC AdS 4 black hole in presence of Maxwell electrodynamics was first done in [74]. Later the effect of noncommutativity on the properties of superconductor was extended for various nonlinear electrodynamics models in higher dimensions [75][76][77][78][79]. ...
In this work, we have studied the effects of noncommutative geometry on the properties of p-wave holographic superconductors with massive vector condensates in the probe limit. We have applied the St\"{u}rm-Liouville eigenvalue approach to analyze the model. In this model, we have calculated the critical temperature and the value of the condensation operator for two different values of . We have also shown how the influence of noncommutative geometry modifies these quantities. Finally, by applying a linearized gauge field perturbation along the boundary direction, we calculated the holographic superconductor's DC conductivity using a self-consistent approach and then carrying out a more rigorous analysis. The noncommutative effects are also found to be present in the result of DC conductivity. We have also found that just like the commutative case, here the DC conductivity diverges due to the presence of a first order pole in the frequency regime.
... The second-order superconducting phase transition below a certain critical temperature can be understood by the condensation of a charged scalar field that leads to Uð1Þ symmetry breaking near the black hole horizon in the dual gravitational description. 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 [11][12][13][14]. There are also studies on the effect of nonlinear electrodynamics and the higher curvature correction on the holographic superconductor [15,16]. ...
In this article we have analytically derived the frequency dependent expression of conductivity and the band gap energy in AdS4 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 the low frequency region. The band gap energy obtained from these two methods seem to agree very well. © 2022 authors. Published by the American Physical Society.published article's title, journal citation, and DOI. Funded by SCOAP3.
... 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]. ...
In this article we have analytically deduced the frequency dependent expression of conductivity and the band gap energy in 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.
... HSC has been widely studied during the last decade by using various numerical methods [8,11, and analytic methods [71][72][73][74][75][76][77][78][79][80][81][82][83][84][85][86][87]. Many important properties of the strong-coupled superconductors have been successfully described by HSC. ...
... In [77], an approximated analytic method, called matching method, to study holographic correspondence was proposed, and the method has been applied to study HSC recently by many authors [77][78][79][80][81][82][83][84][85][86][87]. In the matching method, the asymptotic expansions of the fields on the conformal boundary of the bulk spacetime and the event horizon are matched at an intermediate point in the bulk to mimic an approximate solution. ...
We study a non-minimal holographic superconductors model in both non-backreaction and full-backreaction cases using an analytic matching method. We calculate the condensate of the dilaton and the critical temperature of the phase transition. We also study the properties of the electric conductivity in various parameters.
... HSC has been widely studied during the last decade by using various numerical methods [9,12, and analytic methods [71][72][73][74][75][76][77][78][79][80][81][82][83][84][85][86][87]. Many important properties of the strongcoupled superconductors have been successfully described by HSC. ...
... An approximated analytic method called matching method was proposed in [77] and has been used to study HSC recently [77][78][79][80][81][82][83][84][85][86][87]. In the matching method, the asymptotic expansions of the fields on the AdS boundary and the event horizon are matched at an intermediate point in the bulk. ...
We study a non-minimal holographic superconductors model in both non-backreaction and fullbackreaction cases using an analytic method. We calculate the condensate of the dilaton and the critical temperature of the phase transition. We also study the properties of the electric conductivity in various parameters.
... For large distance, the solution behaves very similar to the Schwarzschild metric. Recently, holographic superconductor models were constructed in the background of noncommutative AdS black holes [56,57], which provided a novel way to investigate the role of noncommutative geometry through the AdS/CFT duality. ...
We investigate scalar condensations around noncommutative compact reflecting stars. We find that the neutral noncommutative reflecting star cannot support the existence of scalar field hairs. In the charged noncommutative reflecting star spacetime, we provide upper bounds for star radii. Above the bound, scalar fields cannot exist outside the star. In contrast, when the star radius is below the bound, we show that the scalar field can condense. We also obtain the largest radii of scalar hairy reflecting stars.
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 Tc superconductor as it enhances the value of the critical temperature.
The description of superconductivity at high-temperature is a problem that has recently been addressed. Transition temperature of superconductivity, Tc, depends on the lattice structure type, size and room pressure. In super-lattices and low-dimensional layered nanostructures, Tc is increased by increasing the complexity of the structure and internal pressures in solid lattice. In this paper, we investigate the relation between physical parameters (ϵ,μ) of matter and superconductivity properties as well as transition temperature (Tc), and explain the superconductivity at high-temperature. In this study, a semi-classical electromagnetic description along with vortex topologic theory and quantum dynamic models with experimental data is considered to justify the relation between superconductivity phenomena and magnetic monopole properties. We find that the electromagnetic energy of magnetic monopole is in agreement with vortex energy in topological theory and it can get close to thermal energy at high-temperature. These models suggest that the superconductivity is related to the mobile monopole or vortices. We show that the electrical permittivity (ϵ) and magnetic permeability (μ) of matter have a key role in the superconductive properties.
In this article we employ the matching method to analytically investigate the properties of holographic superconductors in the framework of Maxwell electrodynamics taking into account the effects of back reaction on spacetime. The relationship between the critical temperature (Tc) and the charge density (ρ) has been obtained first. The influence of back reaction on Meissner like effect in this holographic superconductor is then studied. The results for the critical temperature indicate that the condensation gets harder to form when we include the effect of back reaction. We also give a detailed discussion about the dependence of our results on the choice of the matching point. The expression for the critical magnetic field (Bc) above which the superconducting phase vanishes is next obtained. It is observed from our investigation that the ratio of Bc and Tc2 increases with the increase in the back reaction parameter. However, the critical magnetic field Bc decreases with increase in the back reaction parameter.
In this paper, we have investigated the Meissner effect of holographic superconductors in the presence of Dirac–Born–Infeld electrodynamics. The matching method is applied to obtain the critical magnetic field and the critical temperature. The critical magnetic field obtained from this investigation shows the effects of the DBI parameter b and differs from that obtained from Born electrodynamics because of the extra E→ ⋅B→ term in the Dirac–Born–Infeld theory. It is observed that the critical magnetic field increases in Dirac–Born–Infeld theory compared to that in the Born theory.
