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

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

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
• Electronic ISSN: 1029-8479
• 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).
• Public URL: https://durham-repository.worktribe.com/output/1448945
• Related Public URLs: http://arxiv.org/abs/1212.0871