Analytical and numerical study of backreacting one-dimensional holographic superconductors in the presence of Born–Infeld electrodynamics

Mohammadi, Mahya; Sheykhi, Ahmad; Zangeneh, M. Kord

doi:10.1140/epjc/s10052-018-6138-9

Cited by 23 publications

(5 citation statements)

References 108 publications

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“…The extension to include an electric charge in addition to the mass and angular momentum have been performed [16,17]. The (2 + 1)-dimensional black holes also provide a powerful background to explore one-dimensional holographic superconductors [18][19][20][21][22]. The studies on (2 + 1)-dimensional solutions of gravitational field equations have been extensively carried out in the literatures (see e.g.…”

Section: Introductionmentioning

confidence: 99%

Mimetic gravity in (2 + 1)-dimensions

Sheykhi

2021

J. High Energ. Phys.

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One of the most important achievements in general relativity has been discovery of the (2 + 1)-dimensional black hole solutions of Einstein gravity in anti-de Sitter (AdS) spacetime [7]. In this paper, we construct, for the first time, the (2 + 1)-dimensional solutions of mimetic theory of gravity. These solutions may provide a powerful background to investigate the physical properties of mimetic gravity and examine its viability in lower spacetime dimensions. In particular, some physical properties of stationary black hole solutions of this theory in the presence of charge or angular momentum are investigated.

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Section: Introductionmentioning

confidence: 99%

Mimetic gravity in (2 + 1)-dimensions

Sheykhi

2021

J. High Energ. Phys.

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“…The study of BTZ that has an electric charge, mass, and angular momentum has been analyzed in [70,71]. Furthermore, the (2 + 1)-dimensional BHs can supply a strong background to investigate one-dimensional holographic superconductors [72][73][74][75][76]. There are many studies with different topics on (2+1)-dimensional BH solutions of gravitational field done in the literatures (see e.g.…”

Section: Introductionmentioning

confidence: 99%

Consistency between black hole and mimetic gravity -- Case of $(2+1)$-dimensional gravity

Nojiri,

Nashed

2022

Preprint

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We show that the mimetic theory with the constraint g ρσ ∂ρφ∂σφ = 1 cannot realize the black hole geometry with the horizon(s). To overcome such issue, we may change the mimetic constraint a little bit by ω(φ)g ρσ ∂ρφ∂σφ = −1, where ω(φ) is a function of the scalar field φ. As an example, we consider (2 + 1)-dimensional mimetic gravity with the mimetic potential and construct black hole (BH) solutions by using this modified constraint. We study three different classes: In the first class, we assume the Lagrange multiplier and mimetic potential are vanishing and obtain a BH solution that fully matches the BH of GR despite the non-triviality of the mimetic field which ensures the study presented in JCAP 01 (2019) 058. In the second class, we obtain a BH having constant mimetic potential and a non-trivial form of the Lagrange multiplier. In the third class, we obtain a new BH solution with non-vanishing values of the mimetic field, the Lagrange multiplier, and the mimetic potential. In any case, the solutions correspond to the space-time with only one horizon but we show that the formalism for the constraint works.

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“…On the other hand, to broaden the applied range of gauge/ gravity duality, many works have focused on the effects of the l 1 (the constant λ denotes the 't Hooft coupling) correction on holographic superconductor models. In particular, these investigations usually include nonlinear electrodynamic corrections [49,50] and the higher curvature corrections [38,[51][52][53][54] which were found to inhibit the phase transition. In addition, there is another type of correction which involves the combination of the curvature tensor/scalar (or Weyl tensorC μ ν ρ σ ) and the Maxwell field strength F μν , for instance, the Weyl form CF 2 [55] and its generalized high-derivative version C n F 2 [56] as well as the RF 2 form [42].…”

Section: Introductionmentioning

confidence: 99%

New holographic Weyl superconductors in Lifshitz gravity

Lu¹,

Wu²,

Li³

et al. 2021

Commun. Theor. Phys.

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We build holographic p-wave conductor(insulator)/superconductor models via the numerical method with a new form of Weyl coupling in five-dimensional Lifshitz gravity, and then investigate how the Weyl coupling parameter γ and the Lifshitz scaling parameter z affect the superconductor models. In the conductor/superconductor model, an increase in the Weyl correction (Lifshitz scaling) enhances (inhibits) the superconductor phase transition. Meanwhile, both the Weyl correction (when the Lifshitz parameter is large enough and fixed) and the Lifshitz scaling suppress the growth of the real part of the conductivity. The Weyl correction used here (CB 2) shows weaker effects on the critical value than the previous Weyl correction (CF 2). In the insulator/superconductor model, larger vaules of the Weyl parameter hinder the formation of condensate. However, in increase in the Lifshitz scaling enhances the appearance of condensate. In addition, the calculation suggests that a competitive relation may exist between the Weyl correction and the Lifshitz scaling.

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Analytical and numerical study of backreacting one-dimensional holographic superconductors in the presence of Born–Infeld electrodynamics

Cited by 23 publications

References 108 publications

Mimetic gravity in (2 + 1)-dimensions

Mimetic gravity in (2 + 1)-dimensions

Consistency between black hole and mimetic gravity -- Case of $(2+1)$-dimensional gravity

New holographic Weyl superconductors in Lifshitz gravity

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