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Holographic Abrikosov lattices.

Donos, Aristomenis and Gauntlett, Jerome P. and Pantelidou, Christiana (2020) 'Holographic Abrikosov lattices.', Journal of high energy physics., 2020 (7). 095.


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.

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Publisher 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.
Date accepted:17 June 2020
Date deposited:17 July 2020
Date of first online publication:15 July 2020
Date first made open access:17 July 2020

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