Stability of asymptotically Schrödinger RN black hole and superconductivity

Stefano Cremonesi*, Dmitry Melnikov, Yaron Oz

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


We perform a perturbative (near-critical) analysis of the stability of an asymptotically Schrödinger Reissner-Nordström 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.

Original languageEnglish
Article number48
JournalJournal of High Energy Physics
Issue number4
StatePublished - 2010
Externally publishedYes

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