Stability of Asymptotically Schroedinger RN Black Hole and Superconductivity

Details Stability of Asymptotically Schroedinger RN Black Hole and Superconductivity Stability of Asymptotically Schroedinger RN Black Hole and Superconductivity

2009-11-19

arxiv.org/abs/0911.3806v1

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, 6 figures

Scientific paper

We perform a perturbative (near-critical) analysis of the stability of an asymptotically Schroedinger Reissner-Nordstrom black hole with respect to generation of charged scalar hair. We find that apart from the expected instability at low temperatures typical of holographic models of superconductivity, in the presence of certain operators a similar instability appears as well at high temperatures. We propose that the reason for such a phase diagram could be due to peculiar features of the dual gauge theory or the failure of the model to provide a consistent holographic dual of a non-relativistic superconductor.

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