Holographic transport and density waves

Donos, Aristomenis; Pantelidou, Christiana

Abstract

We consider transport of heat and charge in holographic lattices which are phases of strongly coupled matter in which translations are broken explicitly. In these systems, we study a spontaneous density wave that breaks translations incommensurately to the lattice. The emergent gapless mode due to symmetry breaking couples to the heat current impacting transport at low frequencies. We study the effects of this coupling when the mode is freely sliding as well as after the introduction of a small deformation parameter which pins down the density wave. We prove that the DC transport coefficients are discontinuous in the limit of the pinning parameter going to zero. From the perspective of finite frequency thermoelectric conductivity, this limiting process is accompanied by the transfer of spectral weight to frequencies set by the pinning parameter. As expected, for weak momentum relaxation, this spectral weight transfer appears as a shift of the Drude peak.

Citation

Donos, A., & Pantelidou, C. (2019). Holographic transport and density waves. Journal of High Energy Physics, 2019(5), Article 79. https://doi.org/10.1007/jhep05%282019%29079

• Journal Article Type: Article
• Acceptance Date: May 3, 2019
• Online Publication Date: May 15, 2019
• Publication Date: May 31, 2019
• Deposit Date: May 29, 2019
• Publicly Available Date: May 29, 2019
• 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: 2019
• Issue: 5
• Article Number: 79
• DOI: https://doi.org/10.1007/jhep05%282019%29079
• Public URL: https://durham-repository.worktribe.com/output/1300607