Incoherent transport for phases that spontaneously break translations

Donos, Aristomenis; Gauntlett, Jerome P.; Griffin, Tom; Ziogas, Vaios

Abstract

We consider phases of matter at finite charge density which spontaneously break spatial translations. Without taking a hydrodynamic limit we identify a boost invariant incoherent current operator. We also derive expressions for the small frequency behaviour of the thermoelectric conductivities generalising those that have been derived in a translationally invariant context. Within holographic constructions we show that the DC conductivity for the incoherent current can be obtained from a solution to a Stokes flow for an auxiliary fluid on the black hole horizon combined with specific thermodynamic quantities associated with the equilibrium black hole solutions.

Citation

Donos, A., Gauntlett, J. P., Griffin, T., & Ziogas, V. (2018). Incoherent transport for phases that spontaneously break translations. Journal of High Energy Physics, 2018(4), Article 53. https://doi.org/10.1007/jhep04%282018%29053

• Journal Article Type: Article
• Acceptance Date: Mar 17, 2018
• Online Publication Date: Apr 11, 2018
• Publication Date: Apr 11, 2018
• Deposit Date: Apr 26, 2018
• Publicly Available Date: Apr 26, 2018
• 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: 2018
• Issue: 4
• Article Number: 53
• DOI: https://doi.org/10.1007/jhep04%282018%29053
• Public URL: https://durham-repository.worktribe.com/output/1328203