Holographic Abrikosov lattices

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

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
• Electronic ISSN: 1029-8479
• 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
• Public URL: https://durham-repository.worktribe.com/output/1260513