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arXiv · 0912.3520

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

Mariano Cadoni·Giuseppe D'Appollonio·Paolo Pani
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Abstract

We study Einstein-Maxwell-dilaton gravity models in four-dimensional anti-de 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.

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Mariano Cadoni, Giuseppe D'Appollonio, Paolo Pani. 2010-03-01. Phase transitions between Reissner-Nordstrom and dilatonic black holes in 4D AdS spacetime. https://doi.org/10.1007/jhep03(2010)100

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