Revisiting holographic superconductors with hyperscaling violation

Pan, Qiyuan; Zhang, Shao-Jun

doi:10.1140/epjc/s10052-016-3980-5

Cited by 15 publications

(18 citation statements)

References 98 publications

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“…We can again check these solutions by substituting them into the equations of motion and get Eqs. (34), (35), (36). From these solutions we can see that the p-wave solutions and p+ip solutions are special cases of the p+λi p solutions with θ = 0 and θ = π/4 respectively.…”

Section: Constructing P+ip and The General P+λip Solutions From The Pmentioning

confidence: 89%

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Split degenerate states and stable p $$+i$$ + i p phases from holography

et al. 2017

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In this paper, we investigate the p+ip superfluid phases in the complex vector field holographic p-wave model. We find that in the probe limit, the p+ip phase and the p-wave phase are equally stable, hence the p and ip orders can be mixed with an arbitrary ratio to form more general p+λip phases, which are also equally stable with the p-wave and p+ip phases. As a result, the system possesses a degenerate thermal state in the superfluid region. We further study the case on considering the back-reaction on the metric, and we find that the degenerate ground states will be separated into pwave and p+ip phases, and the p-wave phase is more stable. Finally, due to the different critical temperature of the zeroth order phase transitions from p-wave and p+ip phases to the normal phase, there is a temperature region where the p+ip phase exists but the p-wave phase does not. In this region we find the stable holographic p+ip phase for the first time.

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Section: Constructing P+ip and The General P+λip Solutions From The Pmentioning

confidence: 89%

“…In Sec. 2 we give the set up of the new p-wave model [30,31,32,33,34,35,36,37] and introduce the ansatz for the p-wave and p+ip phases. In Sec.…”

Section: Introductionmentioning

confidence: 99%

Split degenerate states and stable p $$+i$$ + i p phases from holography

et al. 2017

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“…As we know, Lorentz symmetry represents a foundation of both general relativity and the standard model, so one may expect new physics from Lorentz invariance violation. For that reason, the metrics with hyperscaling violation have been used to describe the string theory [21][22][23][24][25] and holographic superconductors [26][27][28][29] as well as QCD [30][31][32].…”

Section: Introductionmentioning

confidence: 99%

Heavy Quark Potential with Hyperscaling Violation

Zhang

Hou

et al. 2017

Advances in High Energy Physics

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We investigate the behavior of the heavy quark potential in the backgrounds with hyperscaling violation. The metrics are covariant under a generalized Lifshitz scaling symmetry with the dynamical Lifshitz parameter and hyperscaling violation exponent . We calculate the potential for a certain range of and and discuss how it changes in the presence of the two parameters. Moreover, we add a constant electric field to the backgrounds and study its effects on the potential. It is shown that the heavy quark potential depends on the nonrelativistic parameters. Also, the presence of the constant electric field tends to increase the potential.

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“…Now we are in a position to numerically solve the above equations of motion, Eqs. (15) and (16), by using the shooting method [7,29]. As mentioned above, we use the scaling symmetries to set r h = 1, and define q = 1 without loss of generality.…”

Section: The Modelmentioning

confidence: 99%

“…Furthermore, models for p-wave superconductors are also developed by introducing a charged vector field [10,11]. The related topics have since been extensively investigated [12][13][14][15], including topics related to superfluids [16,17].…”

Section: Introductionmentioning

confidence: 99%

p-Wave holographic superconductor in scalar hairy black holes

Wen

Pan

et al. 2019

Physics Letters B

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We study the properties of the p-wave holographic superconductor for the scalar hairy black holes in the probe limit. The black hole solutions in question possess planar topology, which are derived from the Einstein gravity theory minimally coupled to a scalar field with a generic scalar potential. These solutions can be viewed as characterized by two independent parameters, namely, α and k 0 , where AdS vacuum is manifestly restored when α → ∞. Consequently, the p-wave holographic superconductor is investigated by employing the above static planar black hole spacetime as the background metric, where a Maxwell field is introduced to the model by nonminimally coupling it to a complex vector field. The latter is shown to condensate and furnish the superconducting phase when the temperature is below a critical value. By numerical calculations, we examine in detail how the scalar field in the background affects the properties of the superconductivity. It is found that the critical temperature depends crucially on the parameters α and k 0 , which subsequently affects the condensation process. By employing the Kubo formula, the real, as well as imaginary parts of the conductivity, are calculated and presented as functions of frequency. The results are discussed regarding the poles of the Green function, and the typical values of the BCS theory. a hwyu@hunnu.edu.cn

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Revisiting holographic superconductors with hyperscaling violation

Cited by 15 publications

References 98 publications

Split degenerate states and stable p $$+i$$ + i p phases from holography

Split degenerate states and stable p $$+i$$ + i p phases from holography

Heavy Quark Potential with Hyperscaling Violation

p-Wave holographic superconductor in scalar hairy black holes

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