Minimally packed phases in holography

Donos, A.; Gauntlett, J.

doi:10.1007/jhep03(2016)148

Minimally packed phases in holography

Donos, A.; Gauntlett, J.

Authors

Dr Aristomenis Donos aristomenis.donos@durham.ac.uk
Associate Professor

J. Gauntlett

Abstract

We numerically construct asymptotically AdS black brane solutions of D = 4 Einstein-Maxwell theory coupled to a pseudoscalar. The solutions are holographically dual to d = 3 CFTs at finite chemical potential and in a constant magnetic field, which spontaneously break translation invariance leading to the spontaneous formation of abelian and momentum magnetisation currents flowing around the plaquettes of a periodic Bravais lattice. We analyse the three-dimensional moduli space of lattice solutions, which are generically oblique, and show, for a specific value of the magnetic field, that the free energy is minimised by the triangular lattice, associated with minimal packing of circles in the plane. We show that the average stress tensor for the thermodynamically preferred phase is that of a perfect fluid and that this result applies more generally to spontaneously generated periodic phases. The triangular structure persists at low temperatures indicating the existence of novel crystalline ground states.

Citation

Donos, A., & Gauntlett, J. (2016). Minimally packed phases in holography. Journal of High Energy Physics, 2016(3), Article 148. https://doi.org/10.1007/jhep03%282016%29148

Journal Article Type	Article
Acceptance Date	Mar 9, 2016
Online Publication Date	Mar 21, 2016
Publication Date	Mar 21, 2016
Deposit Date	Mar 30, 2016
Publicly Available Date	Apr 5, 2016
Journal	Journal of High Energy Physics
Print ISSN	1126-6708
Publisher	Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed	Peer Reviewed
Volume	2016
Issue	3
Article Number	148
DOI	https://doi.org/10.1007/jhep03%282016%29148

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Copyright Statement
Open Access, © The Authors. Article funded by SCOAP3. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.