Lifshitz scaling effects on holographic superconductors

Lu, Jun-Wang; Wu, Yabo; Peng, Qian; Zhao, Yue-Yue; Zhang, Xue; Zhang, Nan

doi:10.1016/j.nuclphysb.2014.08.001

Cited by 50 publications

(76 citation statements)

References 71 publications

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“…One of these is known as Lifshitz gravity, which can be dual to scale-invariant field theories, not being conformally invariant. In this context, interesting properties are found when the gauge/gravity duality is generalized to nonrelativistic situations [1][2][3][4][5][6][7][8][9][10][11][12][13], with the Lifshitz holographic a e-mail: rbecar@uct.cl b e-mail: pablo.gonzalez@udp.cl c e-mail: yvasquez@userena.cl superconductor being one of the best studied systems. Such theories exhibit the anisotropic scale invariance t → χ z t, x → χ x, with z = 1, where z is the relative scale dimension of time and space.…”

Section: Introductionmentioning

confidence: 99%

Quasinormal modes of four-dimensional topological nonlinear charged Lifshitz black holes

2016

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We study scalar perturbations of fourdimensional topological nonlinear charged Lifshitz black holes with spherical and plane transverse sections, and we find numerically the quasinormal modes for scalar fields. Then we study the stability of these black holes under massive and massless scalar field perturbations. We focus our study on the dependence of the dynamical exponent, the nonlinear exponent, the angular momentum, and the mass of the scalar field in the modes. It is found that the modes are overdamped, depending strongly on the dynamical exponent and the angular momentum of the scalar field for a spherical transverse section. In contrast, for plane transverse sections the modes are always overdamped.

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Section: Introductionmentioning

confidence: 99%

Quasinormal modes of four-dimensional topological nonlinear charged Lifshitz black holes

2016

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“…It also indicates that condensation versus temperature have a square root behavior near T c , which suggests that the critical exponent is 1/2, as expected from the mean field theory. The Lifshitz scaling and spacetime dimension will not influence the result [19].…”

Section: The D-wave Holographic Superconductor Models With Lif-shmentioning

confidence: 98%

“…It is found that the Lifshitz black hole geometry results in different asymptotic behaviors of temporal and spatial components of gauge fields compared to those in the Schwarzschild-AdS black hole, which brings some new features of holographic superconductor models. More recently, Lu et al discussed the effects of the Lifshitz dynamical exponent z on holographic superconductors and gave some different results from the Schwarzschild-AdS background [19]. To date, there have attracted considerable interest to generalize the holographic superconducting models to nonrelativistic situations [20][21][22][23][24][25][26][27].…”

Section: Introductionmentioning

confidence: 99%

A holographic model of d-wave superconductor vortices with Lifshitz scaling

Guo

Shu

Chen

et al. 2016

Int. J. Mod. Phys. D

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We study analytically the d-wave holographic superconductors with Lifshitz scaling in the presence of external magnetic field. The vortex lattice solutions of the model have also been obtained with different Lifshitz scaling. Our results imply that holographic d-wave superconductor is indeed a type II one even for different Lifshitz scaling. This is the same as the conventional d-wave superconductors in the Ginzburg-Landau theory. Our results also indicate that the dynamical exponent z has no effect to the shape of the vortex lattice even after higher order corrections (away from the phase transition point B c ) are included. However, it has effects on the upper critical magnetic field B c 2 through the fact that a larger z results in a smaller B c 2 and therefore influences the size (characterized by r 0 ≡ 1/ B c 2 ) of the vortex lattices. Furthermore, close comparisons between our results and those of the Ginzburg-Landau theory reveal the fact that the upper critical magnetic field B c 2 is inversely proportional to the square of the superconducting coherence length ξ, regardless of the anisotropy between space and time.

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“…Furthermore, thermodynamics of Gauss-Bonnet-dilaton Lifshitz black branes has been discussed in [27]. The idea of holography has been applied for systems with Lifshitz symmetry in different contexts including dilaton gravity from different points of view [28][29][30] and behaviors of some quantities such as viscosity [31,32] and different kinds of conductivity [12,[33][34][35][36][37][38] have been analyzed. The authors of ref.…”

Section: Jhep03(2016)037mentioning

confidence: 99%

“…Employing the gauge/gravity duality the holographic superconductors were explored with z = 2 Lifshitz scaling [35]. The effects of Lifshitz dynamical exponent z on the holographic superconductor models including s-wave and p-wave models have been disclosed both numerically and analytically in [36]. Via holography, superconducting phase transitions of a system dual to Yang-Mills field coupled to an axion as probes of black hole with arbitrary Lifshitz scaling have been studied with p x +ip y condensate [37].…”

Section: Jhep03(2016)037mentioning

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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Lifshitz scaling effects on holographic superconductors

Cited by 50 publications

References 71 publications

Quasinormal modes of four-dimensional topological nonlinear charged Lifshitz black holes

Quasinormal modes of four-dimensional topological nonlinear charged Lifshitz black holes

A holographic model of d-wave superconductor vortices with Lifshitz scaling

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

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