Analytical and Numerical Study of Gauss-Bonnet Holographic Superconductors with Power-Maxwell Field

Sheykhi, Ahmad; Salahi, Hamid Reza; Montakhab, Afshin

doi:10.48550/arxiv.1603.00075

Cited by 17 publications

(26 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The nonlinear extension of the original Maxwell electrodynamics in the context of holographic superconductors have arisen intensive investigations [11][12][13][14][15][16][17][18]. In particular, in order to see what difference will appear for holographic superconductor in the presence of Born-Infeld (BI) nonlinear electrodynamics, compared with the case of linear Maxwell electrodynamics, the authors of Ref.…”

Section: Introductionmentioning

confidence: 99%

Effects of backreaction and exponential nonlinear electrodynamics on the holographic superconductors

Sheykhi

Shaker

2016

Int. J. Mod. Phys. D

View full text Add to dashboard Cite

We analytically study the properties of a (2 + 1)-dimensional s-wave holographic superconductor in the presence of exponential nonlinear electrodynamics. We consider the case in which the scalar and gauge fields back react on the background metric. Employing the analytical Sturm-Liouville method, we find that in the black hole background, the nonlinear electrodynamics correction will affect the properties of the holographic superconductors. We find that with increasing both backreaction and nonlinear parameters, the scalar hair condensation on the boundary will develop more difficult. We obtain the relation connecting the critical temperature with the charge density. Our analytical results support that, even in the presence of the nonlinear electrodynamics and backreaction, the phase transition for the holographic superconductor still belongs to the second order and the critical exponent of the system always takes the mean-field value 1/2.

show abstract

Section: Introductionmentioning

confidence: 99%

Effects of backreaction and exponential nonlinear electrodynamics on the holographic superconductors

Sheykhi

Shaker

2016

Int. J. Mod. Phys. D

View full text Add to dashboard Cite

show abstract

“…The effects of nonlinear electrodynamics on the holographic superconductors have been explored widely in the literatures (see e.g. [13,[29][30][31][32][33][34][35][36]49]). Our aim in this work is to investigate the effects of Lifshitz scaling on the holographic p-wave superconductor in arbitrary dimensions.…”

Section: Introductionmentioning

confidence: 99%

Lifshitz scaling effects on the holographic p-wave superconductors coupled to nonlinear electrodynamics

Mohammadi,

Sheykhi

2020

Preprint

Self Cite

View full text Add to dashboard Cite

We employ gauge/gravity duality to study the effects of Lifshitz scaling on the holographic pwave superconductors in the presence of Born-Infeld (BI) nonlinear electrodynamics. By using the shooting method in the probe limit, we calculate the relation between critical temperature Tc and ρ z/d numerically for different values of mass, nonlinear parameter b and Lifshitz critical exponent z in various dimensions. We observe that critical temperature decreases by increasing b, z or the mass parameter m which makes conductor/superconductor phase transition harder to form. In addition, we analyze the electrical conductivity and find the behavior of real and imaginary parts as a function of frequency which depend on the model parameters. However, some universal behaviors are seen. For instance at low frequencies, real part of conductivity shows a delta function behavior while the imaginary part has a pole which means that these two parts are connected to each other through Kramers-Kronig relation. The behavior of real part of conductivity in the large frequency regime can be achieved by Re[σ] = ω D−4 . Furthermore, with increasing the Lifshitz scaling z, the energy gap and the minimum values of the real and imaginary parts become unclear.

show abstract

“…Moreover, holographic superconductors have also been explored widely in the regime of nonlinear electrodynamics (see e.g. [25][26][27][28][29][30][31][32][33][34]). There are several types of nonlinear electrodynamics such as BI [35], Exponential [36], Logarithmic [37] and Power-Maxwell [27], among them the most famous one is the BI nonlinear electrodynamics which was first proposed for solving the divergency in the electrical field of the point particles [35,[38][39][40][41].…”

Section: Introductionmentioning

confidence: 99%

“…[25][26][27][28][29][30][31][32][33][34]). There are several types of nonlinear electrodynamics such as BI [35], Exponential [36], Logarithmic [37] and Power-Maxwell [27], among them the most famous one is the BI nonlinear electrodynamics which was first proposed for solving the divergency in the electrical field of the point particles [35,[38][39][40][41]. The studies on the holographic superconductors have also generalized to other types such as p-wave superconductors.…”

Section: Introductionmentioning

confidence: 99%

Conductivity of the one-dimensional holographic p -wave superconductors in the presence of nonlinear electrodynamics

Mohammadi

Sheykhi

2019

Phys. Rev. D

Self Cite

View full text Add to dashboard Cite

We investigate analytically as well as numerically the effects of nonlinear Born-Infeld (BI) electrodynamics on the properties of (1 + 1)-dimensional holographic p-wave superconductor in the context of gauge/gravity duality. We consider the case in which the gauge and vector fields backreact on the background geometry. We apply the Sturm-Liouville eigenvalue problem for the analytical approach as well as the shooting method for the numerical calculations. In both methods, we find out the relation between critical temperature Tc and chemical potential µ and show that both approaches are in good agreement with each other. We find that if one strengthen the effect of backreaction as well as nonlinearity, the critical temperature decreases which means that the condensation is harder to form. We also explore the conductivity of the one-dimensional holographic p-wave superconductor for different values of b and T /Tc. We find out that the real and imaginary parts of the conductivity have different behaviors in higher dimensions. The effects of different values of temperature is more apparent for larger values of nonlinearity parameter. In addition, for the fixed value of T /Tc by increasing the effect of nonlinearity we observe larger values for Drude-like peak in real part of conductivity and deeper minimum for imaginary part.

show abstract

Analytical and Numerical Study of Gauss-Bonnet Holographic Superconductors with Power-Maxwell Field

Cited by 17 publications

References 0 publications

Effects of backreaction and exponential nonlinear electrodynamics on the holographic superconductors

Effects of backreaction and exponential nonlinear electrodynamics on the holographic superconductors

Lifshitz scaling effects on the holographic p-wave superconductors coupled to nonlinear electrodynamics

Conductivity of the one-dimensional holographic p -wave superconductors in the presence of nonlinear electrodynamics

Contact Info

Product

Resources

About