Holographic superfluids and superconductors in dilaton-gravity

Salvio, Alberto

doi:10.1007/jhep09(2012)134

Cited by 55 publications

(37 citation statements)

References 71 publications

(145 reference statements)

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“…The absence of a dynamical gauge field at the boundary in such description is tied to the chosen boundary condition for the bulk gauge field, namely, the Dirichlet boundary condition. As proposed in [51][52][53][54], a dynamical gauge field at the boundary may be turned on by using a Neumann boundary condition for the bulk gauge field, allowing the study of the important role played by dynamical gauge fields in holographic superconductors.…”

Section: A Proca Conductivitymentioning

confidence: 99%

Vanishing DC holographic conductivity from a magnetic monopole condensate

Rougemont

Noronha

Zarro

et al. 2015

J. High Energ. Phys.

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We show how to obtain a vanishing DC conductivity in 3-dimensional strongly coupled QFT's using a massive 2-form field in the bulk that satisfies a special kind of boundary condition. The real and imaginary parts of the AC conductivity are evaluated in this holographic setup and we show that the DC conductivity identically vanishes even for an arbitrarily small (though nonzero) value of the 2-form mass in the bulk. We identify the bulk action of the massive 2-form with an effective theory describing a phase in which magnetic monopoles have condensed in the bulk. Our results indicate that a condensate of magnetic monopoles in a 4-dimensional bulk leads to a vanishing DC holographic conductivity in 3-dimensional strongly coupled QFT's.

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Section: A Proca Conductivitymentioning

confidence: 99%

Vanishing DC holographic conductivity from a magnetic monopole condensate

Rougemont

Noronha

Zarro

et al. 2015

J. High Energ. Phys.

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show abstract

“…This is a nice demonstration that physics away from the quantum critical point at the origin is related to physics near the quantum critical point. It is also interesting to consider the condensed phase in dilaton gravity where the scale invariance is broken [50,51].…”

Section: A Pseudogap Phasementioning

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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“…[42]). Another way to modify the ratio ω g /T c is in dilaton extensions of holographic superconductors [43].…”

Section: Introductionmentioning

confidence: 99%

Free energy of a Lovelock holographic superconductor

Aranguiz

Mišković

2014

Eur. Phys. J. C

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We study thermodynamics of black hole solutions in Lanczos-Lovelock anti-de Sitter gravity in d + 1 dimensions coupled to nonlinear electrodynamics and a Stückelberg scalar field. This class of theories is used in the context of gauge/gravity duality to describe a hightemperature superconductor in d dimensions. A larger number of coupling constants in the gravitational side is necessary to widen the domain of validity of physical quantities in dual quantum field theory (QFT). We regularize the gravitational action and find the finite conserved quantities for a planar black hole with scalar hair. Then we derive the quantum statistical relation in the Euclidean sector of the theory, and we obtain the exact formula for the free energy of the superconductor in the holographic QFT. Our result is analytic and it includes the effects of backreaction of the gravitational field. We further discuss on how this formula could be used to analyze second order phase transitions through the discontinuities of the free energy, in order to classify holographic superconductors in terms of the parameters in the theory.

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Holographic superfluids and superconductors in dilaton-gravity

Cited by 55 publications

References 71 publications

Vanishing DC holographic conductivity from a magnetic monopole condensate

Vanishing DC holographic conductivity from a magnetic monopole condensate

Engineering holographic phase diagrams

Free energy of a Lovelock holographic superconductor

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