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

Donos, Aristomenis; Gauntlett, Jerome P.; Sonner, Julian; Withers, Benjamin

Authors

Jerome P. Gauntlett

Julian Sonner

Benjamin Withers



Abstract

We analyse the infinite class of d = 3 CFTs dual to skew-whiffed AdS 4 × SE 7 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 AdS 4 in the UV and new families of dyonic AdS 2 ×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.

Citation

Donos, A., Gauntlett, J. P., Sonner, J., & Withers, B. (2013). Competing orders in M-theory: superfluids, stripes and metamagnetism. Journal of High Energy Physics, 2013(3), Article 108. https://doi.org/10.1007/jhep03%282013%29108

Journal Article Type Article
Acceptance Date Feb 21, 2013
Publication Date Mar 19, 2013
Deposit Date Dec 10, 2014
Publicly Available Date May 20, 2015
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2013
Issue 3
Article Number 108
DOI https://doi.org/10.1007/jhep03%282013%29108
Keywords Black Holes in String Theory, AdS-CFT Correspondence, Holography and condensed matter physics (AdS/CMT).
Related Public URLs http://arxiv.org/abs/1212.0871

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