DC conductivity of magnetised holographic matter

Donos, A.; Gauntlett, J.P.; Griffin, Tom; Melgar, Luis

Abstract

We consider general black hole solutions of Einstein-Maxwell-scalar theory that are holographically dual to conformal field theories at finite charge density with nonvanishing magnetic fields and local magnetisation currents, which generically break translation invariance explicitly. We show that the thermoelectric DC conductivity of the field theory can be obtained by solving a system of generalised Stokes equations on the black hole horizon. For various examples, including Q-lattices and one-dimensional lattices, we solve the Stokes equations explicitly and obtain expressions for the DC conductivity in terms of the solution at the black hole horizon.

Citation

Donos, A., Gauntlett, J., Griffin, T., & Melgar, L. (2016). DC conductivity of magnetised holographic matter. Journal of High Energy Physics, 2016(1), Article 113. https://doi.org/10.1007/jhep01%282016%29113

• Journal Article Type: Article
• Acceptance Date: Dec 29, 2015
• Online Publication Date: Jan 19, 2016
• Publication Date: Jan 19, 2016
• Deposit Date: Jan 25, 2016
• Publicly Available Date: Jan 25, 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: 1
• Article Number: 113
• DOI: https://doi.org/10.1007/jhep01%282016%29113
• Keywords: Gauge-gravity correspondence, AdS-CFT Correspondence, Holography and condensed matter physics (AdS/CMT).
• Public URL: https://durham-repository.worktribe.com/output/1421972