Holographic Josephson junction from massive gravity

Hu, Ya-Peng; Li, Huai-Fan; Zeng, Hua-Bi; Zhang, Hai-Qing

doi:10.1103/physrevd.93.104009

Cited by 34 publications

(31 citation statements)

References 60 publications

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“…Furthermore, it was shown that the mentioned massive gravity has sensible effects in metal/superconductor phase transition. It was pointed out that for this phase transition, the maximal tunnelling current and the coherence length of junction are affected by the mass of graviton in Vegh's massive gravity model [67]. In addition, phase transition of holographic entanglement entropy in this massive gravity is investigated as well [68].…”

Section: Jhep05(2016)029mentioning

confidence: 99%

Massive charged BTZ black holes in asymptotically (a)dS spacetimes

Hendi

Panah

Panahiyan

2016

J. High Energ. Phys.

104

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Motivated by recent developments of BTZ black holes and interesting results of massive gravity, we investigate massive BTZ black holes in the presence of Maxwell and Born-Infeld (BI) electrodynamics. We study geometrical properties such as type of singularity and asymptotical behavior as well as thermodynamic structure of the solutions through canonical ensemble. We show that despite the existence of massive term, obtained solutions are asymptotically (a)dS and have a curvature singularity at the origin. Then, we regard varying cosmological constant and examine the Van der Waals like behavior of the solutions in extended phase space. In addition, we employ geometrical thermodynamic approaches and show that using Weinhold, Ruppeiner and Quevedo metrics leads to existence of ensemble dependency while HPEM metric yields consistent picture. For neutral solutions, it will be shown that generalization to massive gravity leads to the presence of non-zero temperature and heat capacity for vanishing horizon radius. Such behavior is not observed for linearly charged solutions while generalization to nonlinearly one recovers this property.

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Section: Jhep05(2016)029mentioning

confidence: 99%

Massive charged BTZ black holes in asymptotically (a)dS spacetimes

Hendi

Panah

Panahiyan

2016

J. High Energ. Phys.

104

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“…The properties of massive solutions have been studied in different scenarios [9]. From holographic point of view, the behaviors of different holographic quantities have been studied [5,[10][11][12][13][14][15][16][17][18][19][20][21][22]. The behavior of holographic conductivity for systems dual to linearly charged massive black branes has been explored in [5].…”

Section: Introductionmentioning

confidence: 99%

“…In [11], a holographic superconductor has been constructed in the massive gravity background. [13] studies holographic superconductor-normal metal-superconductor Josephon junction in the massive gravity. Also the holographic thermalization process has been investigated in this context [14].…”

Section: Introductionmentioning

confidence: 99%

Holographic conductivity in the massive gravity with power-law Maxwell field

2017

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We obtain a new class of topological black hole solutions in (n + 1)-dimensional massive gravity in the presence of the power-Maxwell electrodynamics. We calculate the conserved and thermodynamic quantities of the system and show that the first law of thermodynamics is satisfied on the horizon. Then, we investigate the holographic conductivity for the four and five dimensional black brane solutions. For completeness, we study the holographic conductivity for both massless (m = 0) and massive (m = 0) gravities with power-Maxwell field. The massless gravity enjoys translational symmetry whereas the massive gravity violates it. For massless gravity, we observe that the real part of conductivity, Re[σ], decreases as charge q increases when frequency ω tends to zero, while the imaginary part of conductivity, Im[σ], diverges as ω → 0. For the massive gravity, we find that Im [σ] is zero at ω = 0 and becomes larger as q increases (temperature decreases), which is in contrast to the massless gravity. It also has a maximum value for ω = 0 which increases with increasing q (with fixed p) or increasing p (with fixed q) for (2 + 1)-dimensional dual system, where p is the power parameter of the power-law Maxwell field. Interestingly, we observe that in contrast to the massless case, Re[σ] has a maximum value at ω = 0 (known as the Drude peak) for p = (n + 1) /4 (conformally invariant electrodynamics) and this maximum increases with increasing q. In this case (m = 0) and for different values of p, the real and imaginary parts of the conductivity has a relative extremum for ω = 0. Finally, we show that for high frequencies, the real part of the holographic conductivity have the power law behavior in terms of frequency, ω a where a ∝ (n + 1 − 4p). Some similar behaviors for high frequencies in possible dual CFT systems have been reported in experimental observations.

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“…In this paper, we will fix the parameters c 0 = c 1 = 1, c 2 = −1/2 in order to render the background thermodynamically stable [35,39]. The temperature of the black hole is readily obtained as…”

Section: Jhep07(2017)082mentioning

confidence: 99%

“…Therefore, from this aspect the graviton mass plays the role of inhomogeneity in the boundary field theory, i.e., greater graviton mass is dual to greater inhomogeneity in the boundary. 1 There have been a number of papers investigating the inhomogeneous effects caused by massive gravity so far, see for example [35][36][37][38][39][40][41][42][43].…”

Section: Jhep07(2017)082mentioning

confidence: 99%

Influence of inhomogeneities on holographic mutual information and butterfly effect

Cai

Zeng

Zhang

2017

J. High Energ. Phys.

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Abstract:We study the effect of inhomogeneity, which is induced by the graviton mass in massive gravity, on the mutual information and the chaotic behavior of a 2+1-dimensional field theory from the gauge/gravity duality. When the system is near-homogeneous, the mutual information increases as the graviton mass grows. However, when the system is far from homogeneity, the mutual information decreases as the graviton mass increases. By adding the perturbations of energy into the system, we investigate the dynamical mutual information in the shock wave geometry. We find that the greater perturbations disrupt the mutual information more rapidly, which resembles the butterfly effect in chaos theory. Besides, the greater inhomogeneity reduces the dynamical mutual information more quickly just as in the static case.

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Holographic Josephson junction from massive gravity

Cited by 34 publications

References 60 publications

Massive charged BTZ black holes in asymptotically (a)dS spacetimes

Massive charged BTZ black holes in asymptotically (a)dS spacetimes

Holographic conductivity in the massive gravity with power-law Maxwell field

Influence of inhomogeneities on holographic mutual information and butterfly effect

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