Holographic Magnetisation Density Waves

Donos, Aristomenis; Pantelidou, Christiana

Abstract

We numerically construct asymptotically AdS black brane solutions of D = 4 Einstein theory coupled to a scalar and two U(1) gauge fields. The solutions are holographically dual to d = 3 CFTs in a constant external magnetic field along one of the U(1)’s. Below a critical temperature the system’s magnetisation density becomes inhomogeneous, leading to spontaneous formation of current density waves. We find that the transition can be of second order and that the solutions which minimise the free energy locally in the parameter space of solutions have averaged stressed tensor of a perfect fluid.

Citation

Donos, A., & Pantelidou, C. (2016). Holographic Magnetisation Density Waves. Journal of High Energy Physics, 2016(10), Article 038. https://doi.org/10.1007/jhep10%282016%29038

• Journal Article Type: Article
• Acceptance Date: Sep 27, 2016
• Online Publication Date: Oct 10, 2016
• Publication Date: Oct 10, 2016
• Deposit Date: Dec 2, 2016
• Publicly Available Date: Dec 9, 2016
• 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: 2016
• Issue: 10
• Article Number: 038
• DOI: https://doi.org/10.1007/jhep10%282016%29038
• Public URL: https://durham-repository.worktribe.com/output/1391666