Phase transitions between Reissner-Nordstrom and dilatonic black holes in 4D AdS spacetime

By Mariano Cadoni, G. D’Appollonio, Paolo Pani. 2009

136 citations recorded by the source corpus.

We study Einstein-Maxwell-dilaton gravity models in four-dimensional antide Sitter (AdS) spacetime which admit the Reissner-Nordstrom (RN) black hole solution. We show that below a critical temperature the AdS-RN solution becomes unstable against scalar perturbations and the gravitational system undergoes a phase transition. We show using numerical calculations that the new phase is a charged dilatonic black hole. Using the AdS/CFT correspondence we discuss the phase transition in the dual field theory both for non-vanishing temperatures and in the extremal limit. The extremal solution has a Lifshitz scaling symmetry. We discuss the optical conductivity in the new dual phase and find interesting behavior at low frequencies where it shows a “Drude peak”. The resistivity varies with temperature in a non-monotonic way and displays a minimum at low temperatures which is reminiscent of the celebrated Kondo effect.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/ba8c08a7adde5fa8307def37144233d1726ce805

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. Paolo Pani
2. K. Narayan
3. R. Brito
4. E. Kiritsis
5. V. Cardoso
6. Blaise Goutéraux
7. S. Trivedi
8. Andrei Linde

In Nuclear and High Energy Physics

1. K. Narayan
2. E. Kiritsis
3. Blaise Goutéraux
4. R. Brito
5. Paolo Pani
6. S. Sachdev
7. S. Trivedi
8. V. Cardoso

Citations in the corpus

• Aspects of holography for theories with hyperscaling violation (2012, background): “ More recently, it has been realized that by studying systems including a scalar \dilaton" in the bulk, one can nd even larger classes of scaling metrics. Such theories have been studied in e.g. [10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21] (with very similar metrics also characterizing the ”
• Superradiance: Energy Extraction, Black-Hole Bombs and Implications for Astrophysics and Particle Physics (2015, background): “(25)A similar mechanism occurs also for neutral fields with nonminimal couplings [313].”
• Generalized holographic quantum criticality at finite density (2011, background): “13) describes correctly the nearhorizon region of the extremal black holes of [36, 37, 14], even though their potentials comprise more than one exponentials.”
• Superradiance (2015, background): “A similar mechanism occurs also for neutral fields with nonminimal couplings [410].”
• Holography of dyonic dilaton black branes (2010, background): “Such an investigation, in the case of electrically charged dilatonic black branes, was recently undertaken in [22, 21].”
• Lifshitz scaling and hyperscaling violation in string theory (2012, background): “These are of the general form of the effective actions studied in [20, 21, 22, 23, 24, 25, 26, 27].”
• Thermodynamics and instabilities of a strongly coupled anisotropic plasma (2011, background): “Recent studies of AdS completions of charged, spatially isotropic Lifshitz geometries include [83, 84, 85, 86, 87, 88, 89, 90].”