Competing orders in M-theory: superfluids, stripes and metamagnetism

  • Aristomenis Donos
  • Jerome P. Gauntlett
  • Julian Sonner
  • Benjamin Withers
Article

Abstract

We analyse the infinite class of d = 3 CFTs dual to skew-whiffed AdS4 × SE7 solutions of D = 11 supergravity at finite temperature and charge density and in the presence of a magnetic field. We construct black hole solutions corresponding to the unbroken phase, and at zero temperature some of these become dyonic domain walls of an Einstein-Maxwell-pseudo-scalar theory interpolating between AdS4 in the UV and new families of dyonic \( Ad{S_2}\times {{\mathbb{R}}^2} \) solutions in the IR. The black holes exhibit both diamagnetic and paramagnetic behaviour. We analyse superfluid and striped instabilities and show that for large enough values of the magnetic field the superfluid instability disappears while the striped instability remains. For larger values of the magnetic field there is also a first-order metamagnetic phase transition and at zero temperature these black hole solutions exhibit hyperscaling violation in the IR with dynamical exponent z = 3/2 and θ = −2.

Keywords

Black Holes in String Theory AdS-CFT Correspondence Holography and condensed matter physics (AdS/CMT) 

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Copyright information

© SISSA, Trieste, Italy 2013

Authors and Affiliations

  • Aristomenis Donos
    • 1
  • Jerome P. Gauntlett
    • 1
  • Julian Sonner
    • 2
  • Benjamin Withers
    • 3
  1. 1.Blackett LaboratoryImperial CollegeLondonU.K
  2. 2.C.T.P., Massachusetts Institute of TechnologyCambridgeU.S.A
  3. 3.Centre for Particle Theory and Department of Mathematical SciencesUniversity of DurhamDurhamU.K

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