A holographic superconductor forced through interactions

Basu, Prabir; Bhattacharya, Jyotirmoy; Das, Sayan

doi:10.1007/jhep08(2019)089

Cited by 3 publications

(2 citation statements)

References 25 publications

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“…Refs. [19][20][21][22] where the authors introduced different mechanisms which lead to the change of phase transition order. However, the authors of these papers did not study excited states.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

On the triplet of holographic phase transition

Phat,

Nguyen

2021

Preprint

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We start from an Einstein − Maxwell system coupled with a charged scalar field in Anti−de Sitter space−time. In the setup where the pressure P is identified with the cosmological constant, the AdS black hole (BH) undergoes the phase transition from small to large BHs, which is similar to the transition from liquid to gas in the van der Waals theory. Based on this framework, we study the triplet of holographic superconducting states, consisting of ground state and two lowest excited states. Our numerical calculations show that the pressure variation in the bulk creates a mechanism in the boundary which causes changes in the physical properties of excited states, namely: a) when the pressure P is higher than the critical pressure P c (P > P c ) of the phase transition from small to large BHs the ground state and the first excited state are superconducting states while the second excited state is the normal one. However, at lower pressure, P ≤ P c , the ground state is solely the superconducting state. We conjecture that the precedent phenomena could take place when the scalar field in the bulk is replaced by other matter fields.

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Section: Conclusion and Discussionmentioning

confidence: 99%

On the triplet of holographic phase transition

Phat,

Nguyen

2021

Preprint

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“…BH solutions with scalar hair have been discussed in works related to Holographic superconductors [9] as well as for global AdS [10,11]. A scalar condensation induced by another scalar has been discussed in [12]. However, investigating any kind of second order phase transition [13] is not the focus of this work.…”

Section: Entanglement Entropymentioning

confidence: 99%

Incomplete RG: Hawking-Page transition, C-theorem and relevant scalar deformations of global AdS

Basu¹,

Kumar²,

Mosomane³

2021

Preprint

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We discuss relevant scalar deformations of a holographic theory with a compact boundary. An example of such a theory would be the global AdS 4 with its spatially compact boundary S 2 . To introduce a relevant deformation, we choose to turn on a time-independent and spatially homogeneous non-normalizable scalar operator with m 2 = −2. The finite size of a compact boundary cuts down the RG flow at a finite length scale leading to an incomplete RG flow to IR. We discuss a version of incomplete C-theorem and an incomplete attractor like mechanism. We discuss the implication of our results for entanglement entropy and geometric quantities like scalar curvature, volume and mass scale of fundamental excitation of the how these quantities increase or decrease (often monotonically) with the strength of the deformation. Thermal physics of a holographic theory defined on a compact boundary is more interesting than its non-compact counterpart. It is well known that with a compact boundary, there is a possibility of a first order Hawking-Page transition dual to a de-confinement phase transition. From a gravity perspective, a relevant deformation dumps negative energy inside the bulk, increasing the effective cosmological constant (Λ) of the AdS. Dumping more negative energy in the bulk would make the HP transition harder and the corresponding HP transition temperature would increase. However, we have found the size of the BH at the transition temperature decreases.

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Holographic superconductors at zero density

Ren

Xie

2023

Phys. Rev. D

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A holographic superconductor forced through interactions

Cited by 3 publications

References 25 publications

On the triplet of holographic phase transition

On the triplet of holographic phase transition

Incomplete RG: Hawking-Page transition, C-theorem and relevant scalar deformations of global AdS

Holographic superconductors at zero density

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