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Holographic Abrikosov lattices

Donos, Aristomenis; Gauntlett, Jerome P.; Pantelidou, Christiana

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Authors

Jerome P. Gauntlett

Christiana Pantelidou



Abstract

We study black hole solutions of D = 4 Einstein-Maxwell theory coupled to a charged scalar field that are holographically dual to a d = 3 conformal field theory with a non-vanishing chemical potential and constant magnetic field. We numerically construct black hole solutions that are dual to a superfluid phase with a periodic lattice of vortices. For the specific model we investigate, we find that the thermodynamically preferred con- figuration is given by a triangular lattice and moreover the vortices are associated with the lowest Landau level. We also construct black holes describing a lattice of vortices associated with the next to lowest Landau level and while these are not thermodynamically preferred they exhibit some interesting features that could be realised for other holographic models.

Citation

Donos, A., Gauntlett, J. P., & Pantelidou, C. (2020). Holographic Abrikosov lattices. Journal of High Energy Physics, 2020(7), Article 095. https://doi.org/10.1007/jhep07%282020%29095

Journal Article Type Article
Acceptance Date Jun 17, 2020
Online Publication Date Jul 15, 2020
Publication Date 2020-07
Deposit Date Jul 17, 2020
Publicly Available Date Jul 17, 2020
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2020
Issue 7
Article Number 095
DOI https://doi.org/10.1007/jhep07%282020%29095

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Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/

Copyright Statement
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.





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