Holographic superconductors with various condensates

Horowitz, Gary T.; Roberts, Matthew M.

doi:10.1103/physrevd.78.126008

Cited by 368 publications

(514 citation statements)

References 18 publications

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“…Horowitz et al [5] got following relation connecting the gap frequency in conductivity with the critical temperature for (2+1) and (3+1)-dimensional superconductors 11) which is roughly twice the BCS value 3.5 indicating that the holographic superconductors are strongly coupled. We now examine this relation for the Gauss-Bonnet gravity with the logarithmic electrodynamic field.…”

Section: Electrical Conductivitymentioning

confidence: 99%

“…The AdS/CFT duality is a powerful tool for investigating strongly coupled gauge theories, the application might offer new insight into the study of strongly interacting condensed matter systems where the perturbational methods are no longer available. Therefore, much attention has been given to the studies of the AdS/CFT duality to condensed matter physics and in particular to superconductivity recently [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22]. In these studies most of the holographically dual descriptions for a superconductor are based on a model that a simple Einstein-Maxwell theory coupled to a charged scalar.…”

Section: Introductionmentioning

confidence: 99%

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Holographic superconductor/insulator transition with logarithmic electromagnetic field in Gauss–Bonnet gravity

2012

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The behaviors of the holographic superconductors/insulator transition are studied by introducing a charged scalar field coupled with a logarithmic electromagnetic field in both the Einstein-Gauss-Bonnet AdS black hole and soliton. For the Einstein-Gauss-Bonnet AdS black hole, we find that: i) the larger coupling parameter of logarithmic electrodynamic field b makes it easier for the scalar hair to be condensated;ii) the ratio of the gap frequency in conductivity ω g to the critical temperature T c depends on both b and the Gauss-Bonnet constant α; and iii) the critical exponents are independent of the b and α. For the EinsteinGauss-Bonnet AdS Soliton, we show that the system is the insulator phase when the chemical potential µ is small, but there is a phase transition and the AdS soliton reaches the superconductor (or superfluid) phase when µ larger than critical chemical potential. A special property should be noted is that the critical chemical potential is not changed by the coupling parameter b but depends on α.

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Section: Electrical Conductivitymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Holographic superconductor/insulator transition with logarithmic electromagnetic field in Gauss–Bonnet gravity

2012

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“…It was announced in [31] that the Stückelberg mechanism together with the backreaction will determine the order of phase transition when applying the Stückelberg mechanism to the AdS soliton spacetime. Generally speaking, there is only the second order phase transition for different masses of the scalar field in the probe limit [32]. Since the order of phase transition desponds on the choices of the couplings and the mass of the scalar field is crucial to the formation of the scalar hair in the superconductor model, it is…”

Section: Introductionmentioning

confidence: 99%

Holographic entanglement entropy in general holographic superconductor models

Peng

Pan

2014

J. High Energ. Phys.

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Abstract:We study the entanglement entropy of general holographic dual models both in AdS soliton and AdS black hole backgrounds with full backreaction. We find that the entanglement entropy is a good probe to explore the properties of the holographic superconductors and provides richer physics in the phase transition. We obtain the effects of the scalar mass, model parameter and backreaction on the entropy, and argue that the jump of the entanglement entropy may be a quite general feature for the first order phase transition. In strong contrast to the insulator/superconductor system, we note that the backreaction coupled with the scalar mass can not be used to trigger the first order phase transition if the model parameter is below its bottom bound in the metal/superconductor system.

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“…and 2g tx 1 (u) + ug tx 1 (u) = 4qr 2z−4 11) where the prime denotes derivative with respect to u. Combining eqs.…”

Section: Jhep03(2016)037mentioning

confidence: 99%

“…For instance quantum Hall effect [3], fractional quantum Hall effect [4], Nernst effect [5][6][7] and superconductors [8][9][10][11][12] have been studied by this method. Furthermore, there are interesting strongly correlated electronic and atomic systems and also non-relativistic ones which possess Schrodinger symmetry [13][14][15].…”

Section: Introductionmentioning

confidence: 99%

Thermodynamics and gauge/gravity duality for Lifshitz black holes in the presence of exponential electrodynamics

Zangeneh¹,

Dehyadegari²,

Sheykhi³

et al. 2016

J. High Energ. Phys.

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In this paper, we construct a new class of topological black hole Lifshitz solutions in the presence of nonlinear exponential electrodynamics for Einstein-dilaton gravity. We show that the reality of Lifshitz supporting Maxwell matter fields exclude the negative horizon curvature solutions except for the asymptotic AdS case. Calculating the conserved and thermodynamical quantities, we obtain a Smarr type formula for the mass and confirm that thermodynamics first law is satisfied on the black hole horizon. Afterward, we study the thermal stability of our solutions and figure out the effects of different parameters on the stability of solutions under thermal perturbations. Next, we apply the gauge/gravity duality in order to calculate the ratio of shear viscosity to entropy for a three-dimensional hydrodynamic system by using the pole method. Furthermore, we study the behavior of holographic conductivity for two-dimensional systems such as graphene. We consider linear Maxwell and nonlinear exponential electrodynamics separately and disclose the effect of nonlinearity on holographic conductivity. We indicate that holographic conductivity vanishes for z > 3 in the case of nonlinear electrodynamics while it does not in the linear Maxwell case. Finally, we solve perturbative additional field equations numerically and plot the behaviors of real and imaginary parts of conductivity for asymptotic AdS and Lifshitz cases. We present experimental results match with our numerical ones.

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Holographic superconductors with various condensates

Cited by 368 publications

References 18 publications

Holographic superconductor/insulator transition with logarithmic electromagnetic field in Gauss–Bonnet gravity

Holographic superconductor/insulator transition with logarithmic electromagnetic field in Gauss–Bonnet gravity

Holographic entanglement entropy in general holographic superconductor models

Thermodynamics and gauge/gravity duality for Lifshitz black holes in the presence of exponential electrodynamics

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