P-T phase diagram of a holographic s+p model from Gauss-Bonnet gravity

Nie, Zhang-Yu; Zeng, Hui

doi:10.1007/jhep10(2015)047

Cited by 34 publications

(20 citation statements)

References 99 publications

(123 reference statements)

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“…All the studies mentioned above concerning the holographic dual models with the curvature correction are based on the Einstein-Gauss-Bonnet gravity in dimensions D ≥ 5, where we find that the higher curvature corrections make it harder for the scalar [14,[16][17][18][19][20][21][22][23][24][25][26][27][28][29] or vector [30][31][32][33][34][35][36] hair to form. As pointed out by Gregory et al in [14], one can expect this tendency to be the same even in (2 + 1)-dimensions, however, it remains obscure to what extent this suppression affects the physics of holographic superconductors in (2 + 1)dimensions.…”

Section: Jhep12(2020)192mentioning

confidence: 73%

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Holographic superconductors in 4D Einstein-Gauss-Bonnet gravity

Qiao

Ouyang

Wang

et al. 2020

J. High Energ. Phys.

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We investigate the neutral AdS black-hole solution in the consistent D → 4 Einstein-Gauss-Bonnet gravity proposed in [K. Aoki, M.A. Gorji, and S. Mukohyama, Phys. Lett. B810 (2020) 135843] and construct the gravity duals of (2 + 1)-dimensional superconductors with Gauss-Bonnet corrections in the probe limit. We find that the curvature correction has a more subtle effect on the scalar condensates in the s-wave superconductor in (2 + 1)-dimensions, which is different from the finding in the higher-dimensional superconductors that the higher curvature correction makes the scalar hair more difficult to be developed in the full parameter space. However, in the p-wave case, we observe that the higher curvature correction always makes it harder for the vector condensates to form in various dimensions. Moreover, we note that the higher curvature correction results in the larger deviation from the expected relation in the gap frequency ωg/Tc ≈ 8 in both (2 + 1)-dimensional s-wave and p-wave models.

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Section: Jhep12(2020)192mentioning

confidence: 73%

“…Other generalized investigations based on the effects of the curvature correction on the holographic dual models can be found, for example, in refs. [20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36].…”

Section: Jhep12(2020)192mentioning

confidence: 99%

Holographic superconductors in 4D Einstein-Gauss-Bonnet gravity

Qiao

Ouyang

Wang

et al. 2020

J. High Energ. Phys.

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“…These solutions have already been shown to possess interesting thermodynamic properties [19][20][21] (such as reentrant phase transitions), and are of inherent interest due to the role scalar hair plays in holography, e.g. in descriptions of holographic superconductors and superfluids [22,23].The model we consider consists of Lovelock gravity, a Maxwell field, and a real scalar field coupled conformally to the dimensionally extended Euler densities, …”

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confidence: 99%

Superfluid Black Holes

Hennigar¹,

Mann²,

Tjoa³

2017

Phys. Rev. Lett.

173

131

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We present what we believe is the first example of a "λ-line" phase transition in black hole thermodynamics. This is a line of (continuous) second order phase transitions which in the case of liquid 4 He marks the onset of superfluidity. The phase transition occurs for a class of asymptotically AdS hairy black holes in Lovelock gravity where a real scalar field is conformally coupled to gravity. We discuss the origin of this phase transition and outline the circumstances under which it (or generalizations of it) could occur. The study of black hole thermodynamics provides valuable insight into quantum properties of the gravitational field. The thermodynamics of anti de Sitter black holes has been of great interest since the pioneering work of Hawking and Page which demonstrated the existence of a thermal radiation/large AdS black hole phase transition [1]. Furthermore, these spacetimes admit a gauge duality description via a dual thermal field theory.Recently there has been interest in treating the cosmological constant as a thermodynamic variable [2] which plays the role of pressure in the first law [3][4][5]. Within this context, the black hole mass takes on the interpretation of enthalpy and a number of connections with ordinary thermodynamics emerge. It was shown that the thermodynamic behaviour of a charged AdS black hole is analogous to the van der Waals liquid/gas system, with the role of the liquid/gas transition played by a small/large black hole phase transition [6]. Subsequent work has revealed examples of triple points [7], (multiple) reentrant phase transitions [8,9], isolated critical points [10, 11] and a host of other behaviour for black holes (see [12] and references therein for a review).Here we present the first example of a line of second order (continuous) black hole phase transitions which strongly resemble those which occur in condensed matter systems, e.g. the onset of superfluidity in liquid helium [13]. The phase transition occurs in a broad class of asymptotically AdS hairy black holes in Lovelock gravity. Lovelock gravity [14] is a geometric higher curvature theory of gravity and is the natural generalization of Einstein gravity to higher dimensions, giving rise to second order field equations for the metric. It provides an excellent testbed for examining the effects of higher curvature corrections which appear in, for example, the low energy effective action of string theory [15]. Recently, it has been shown [16] that a scalar field can be conformally coupled to the Lovelock terms and the resulting theory gives rise to analytic hairy black hole solutions [17] evading no-go results which had been reported previously [18]. These solutions have already been shown to possess interesting thermodynamic properties [19][20][21] (such as reentrant phase transitions), and are of inherent interest due to the role scalar hair plays in holography, e.g. in descriptions of holographic superconductors and superfluids [22,23].The model we consider consists of Lovelock gravity, a Maxwell field, and a ...

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“…The green region is the overlap region, and usually there exist some competing and coexistence orders; see, e.g., Refs. [29][30][31][32][33][34][35]. This region is not the main purpose of our model, and it would be interesting to explore more on this issue in future work.…”

Section: B Model II With Competing Ordersmentioning

confidence: 99%

Engineering holographic phase diagrams

Chen¹,

Dai²,

Maity³

et al. 2016

Phys. Rev. D

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By introducing interacting scalar fields, we tried to engineer physically motivated holographic phase diagrams which may be interesting in the context of various known condensed matter systems. We introduce an additional scalar field in the bulk which provides a tunable parameter in the boundary theory. By exploiting the way the tuning parameter changes the effective masses of the bulk interacting scalar fields, desired phase diagrams can be engineered for the boundary order parameters dual to those scalar fields. We give a few examples of generating phase diagrams with phase boundaries which are strikingly similar to the known quantum phases at low temperature such as the superconducting phases. However, the important difference is that all the phases we have discussed are characterized by neutral order parameters. At the end, we discuss if there exists any emerging scaling symmetry associated with a quantum critical point hidden under the dome in this phase diagram.

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P-T phase diagram of a holographic s+p model from Gauss-Bonnet gravity

Cited by 34 publications

References 99 publications

Holographic superconductors in 4D Einstein-Gauss-Bonnet gravity

Holographic superconductors in 4D Einstein-Gauss-Bonnet gravity

Superfluid Black Holes

Engineering holographic phase diagrams

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