Holographic superconductor model in a spatially anisotropic background

Koga, Jun Ichirou; Tomoda, Kentaro

doi:10.1103/physrevd.89.104024

Cited by 21 publications

(36 citation statements)

References 24 publications

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“…Figure 2 shows effect of bulk anisotropy on the condensate, which is also obtained in [23]. The numerical result suggests the increasing anisotropy λ in the bulk lifts up the condensate in the boundary for a fixed temperature, whereas brings down critical temperature T c .…”

Section: Recap Of Equilibrium Resultsmentioning

confidence: 54%

“…The holographic superconductor model with bulk anisotropy is first introduced in [23]. In this work, we study non-equilibrium physics of this model, in particular the dynamical condensation process.…”

Section: Discussionmentioning

confidence: 99%

“…Recently, the s-wave holographic superconductor model is extended to incorporate spatially anisotropic effect from bulk geometry [23]. The anisotropy is achieved by introducing a dilaton field on top of the original Einstein-Maxwell-charged scalar theory.…”

Section: Introductionmentioning

confidence: 99%

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Dynamical condensation in a holographic superconductor model with anisotropy

Bai

Lee

Park

et al. 2014

J. High Energ. Phys.

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We study dynamical condensation process in a holographic superconductor model with anisotropy. The time-dependent numerical solution is constructed for the Einstein-Maxwell-dilaton theory with complex scalar in asymptotic AdS spacetime. The introduction of dilaton field generates the anisotropy in boundary spatial directions. In analogy of isotropic case, we have two black hole solutions below certain critical temperature T c , the anisotropic charged black hole with and without scalar hair, corresponding respectively to the supercooled normal phase and superconducting phase in the boundary theory. We observe a nonlinear evolution from a supercooled anisotropic black hole without scalar hair to a anisotropic hairy black hole. Via AdS/CFT correspondence, we extract time evolution of the condensate operator, which shows an exponential growth and subsequent saturation, similar to the isotropic case. Furthermore, we obtain a nontrivial time evolution of the boundary pressure, while in isotropic case it remains a constant. We also generalize quasinormal modes calculation to anisotropic black holes and shows scalar quasinormal modes match with relaxation time scale of the condensate operator. In addition, we present the final temperature and anisotropic pressure as functions of initial temperature and background anisotropy.

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Section: Recap Of Equilibrium Resultsmentioning

confidence: 54%

Section: Discussionmentioning

confidence: 99%

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Dynamical condensation in a holographic superconductor model with anisotropy

Bai

Lee

Park

et al. 2014

J. High Energ. Phys.

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“…This phenomenon in general may be interpreted as a second order phase transition between conductor and superconductor phases, interpretation that is supported by analyzing the behavior of the conductivity in these phases [5]. There were also studied vortex like solutions that describe type II holographic superconductors [8][9][10] and more recently, spatially anisotropic, abelian models of superconductors [11].…”

Section: Jhep07(2015)172mentioning

confidence: 97%

Holographic phase transitions from higgsed, non abelian charged black holes

Giordano

Lugo

2015

J. High Energ. Phys.

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We find solutions of a gravity-Yang-Mills-Higgs theory in four dimensions that represent asymptotic anti-de Sitter charged black holes with partial/full gauge symmetry breaking. We then apply the AdS/CFT correspondence to study the strong coupling regime of a 2 + 1 quantum field theory at temperature T and finite chemical potential, which undergoes transitions to phases exhibiting the condensation of a composite charged vector operator below a critical temperature T c , presumably describing p + ip/p-wave superconductors. In the case of p + ip-wave superconductors the transitions are always of second order. But for p-wave superconductors we determine the existence of a critical value α c of the gravitational coupling (for fixed Higgs v.e.v. parameterm W ) beyond which the transitions become of first order. As a by-product, we show that the p-wave phase is energetically favored over the p + ip one, for any values of the parameters. We also find the ground state solutions corresponding to zero temperature. Such states are described by domain wall geometries that interpolate between AdS 4 spaces with different light velocities, and for a givenm W , they exist below a critical value of the coupling. The behavior of the order parameter as function of the gravitational coupling near the critical coupling suggests the presence of second order quantum phase transitions. We finally study the dependence of the solution on the Higgs coupling, and find the existence of a critical value beyond which no condensed solution is present.

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“…In this section, we will construct a simple black hole solution involving a momentum relaxation and then show what kinds of outlandish feature occur in its thermodynamic interpretation. To do so, let us consider a simple five-dimensional Einstein-scalar gravity with a SO(3) global symmetry [19,20,21,22,23] …”

Section: Einstein-scalar Gravitymentioning

confidence: 99%

On black hole thermodynamics with a momentum relaxation

Park

2016

Class. Quantum Grav.

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We investigate black hole thermodynamics involving a scalar hair which is dual to a momentum relaxation of the dual field theory. This black hole geometry is able to be classified by two parameters.One is a momentum relaxation and the other is a mass density of another matter localized at the center.Even though all parameters are continuous, there exists a specific point where its thermodynamic interpretation is not continuously connected to the one defined in the other parameter regime. The similar feature also appears in a topological AdS black hole. In this work, we show why such an unusual thermodynamic feature happens and provide a unified way to understand such an exotic black hole thermodynamically in the entire parameter range. *

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Holographic superconductor model in a spatially anisotropic background

Cited by 21 publications

References 24 publications

Dynamical condensation in a holographic superconductor model with anisotropy

Dynamical condensation in a holographic superconductor model with anisotropy

Holographic phase transitions from higgsed, non abelian charged black holes

On black hole thermodynamics with a momentum relaxation

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