One-dimensional backreacting holographic superconductors with exponential nonlinear electrodynamics

Ghotbabadi, B. Binaei; Zangeneh, M. Kord; Sheykhi, Ahmad

doi:10.1140/epjc/s10052-018-5871-4

Cited by 20 publications

(12 citation statements)

References 114 publications

(140 reference statements)

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“…One-dimensional holographic s-wave and p-wave superconductors were investigated analytically as well as numerically from different point of view (see e.g. [55][56][57][58][59][60][61][62][63][64][65][66]). All investigations on the (1 + 1)-dimensional holographic p-wave superconductors are restricted to the case where the vector and gauge fields do not back react on the background geometry.…”

Section: Introductionmentioning

confidence: 99%

One-dimensional backreacting holographic p-wave superconductors

2018

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We analytically as well as numerically study the properties of one-dimensional holographic pwave superconductors in the presence of backreaction. We employ the Sturm-Liouville eigenvalue problem for the analytical calculation and the shooting method for the numerical investigations. We apply the AdS3/CFT2 correspondence and determine the relation between the critical temperature Tc and the chemical potential µ for different values of mass m of charged spin-1 field ρµ and backreacting parameters. We observe that the data of both analytical and numerical studies are in good agreement. We find out that increasing the backreaction as well as the mass parameter cause the greater values for Tc/µ. Therefore, it makes the condensation harder to form. In addition, the analytical and numerical approaches show that the value of the critical exponent β is 1/2 which is the same as in the mean field theory. Moreover, both methods confirm the exhibition of a second order phase transition.

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Section: Introductionmentioning

confidence: 99%

One-dimensional backreacting holographic p-wave superconductors

2018

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“…Moreover, the effects of other electrodynamics such as Born-Infeld, exponential, logarithmic on the physical properties of holographic superconductors were also explored in [22][23][24][25][26][27][28][29]. Conductivity for the holographic superconductors were calculated in different dimensions and in the presence of various electrodynamics [30][31][32][33][34][35][36]. Effects of an external magnetic field on the holographic superconductors were investigated by employing analytical and numerical methods [5,[37][38][39][40][41][42][43][44].…”

Section: Introductionmentioning

confidence: 99%

Meissner-like effect and conductivity of power-Maxwell holographic superconductors

Asl

Sheykhi

2020

Phys. Rev. D

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The full description of a superconductor requires that it has an infinite dc conductivity (or zero electrical resistivity) as well as expels the external magnetic fields. Thus, for any holographic superconductor which is dual to a real superconductor, it is necessary to examine, simultaneously, these two features based on the gauge/gravity duality. In this paper, we explore numerically these two aspects of the higher dimensional holographic superconductors, in the presence of a power-Maxwell electrodynamics as the gauge field. At first, we calculate the critical temperature, condensation, conductivity, and superconducting gap, in the absence of magnetic field and disclose the effects of both power parameter, s, as well as the spacetime dimensions, d, on this quantities. Then, we immerse the superconductor into an external magnetic field, B, and observe that with increasing the magnetic field, the starting point of condensation occurs at temperature less than the critical temperature, T c , in the absence of magnetic field. This implies that at a fixed temperature, we can define a critical magnetic field, above which the critical temperature goes to zero which is similar to the Meissner effect in superconductor. In these indications, we also try to show the distinction of the conformal invariance of the power-Maxwell Lagrangian that occurs for s ¼ d=4.

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“…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%

“…One-dimensional holographic s-wave and p-wave superconductors were analyzed both analytically and numerically from different points of view in (see e.g. [33,34,[59][60][61][62][63][64][65][66][67][68][69]). It is worth noting that most investigations on the (1 + 1)-dimensional holographic p-wave superconductors are done in the framework of linear Maxwell electrodynamics.…”

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

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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.

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One-dimensional backreacting holographic superconductors with exponential nonlinear electrodynamics

Cited by 20 publications

References 114 publications

One-dimensional backreacting holographic p-wave superconductors

One-dimensional backreacting holographic p-wave superconductors

Meissner-like effect and conductivity of power-Maxwell holographic superconductors

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

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