Nearly critical holographic superfluids

Donos, Aristomenis; Kailidis, Polydoros

Abstract

We study the nearly critical behaviour of holographic superfluids at finite temperature and chemical potential in their probe limit. This allows us to examine the coupled dynamics of the full complex order parameter with the charge density of the system. We derive an effective theory for the long wavelength limit of the gapless and pseudo-gapped modes by using analytic techniques in the bulk. We match our construction with Model F in the classification of Hohenberg and Halperin and compute the complex dissipative kinetic transport coefficient in terms of thermodynamics and black hole horizon data. We carry out an analysis of the corresponding modes and argue that at finite density the dispersion relations are discontinuous between the normal and the broken phase. We compare and contrast our results with earlier numerical work.

Citation

Donos, A., & Kailidis, P. (2022). Nearly critical holographic superfluids. Journal of High Energy Physics, 2022(12), Article 28. https://doi.org/10.1007/jhep12%282022%29028

• Journal Article Type: Article
• Acceptance Date: Nov 27, 2022
• Online Publication Date: Dec 6, 2022
• Publication Date: 2022
• Deposit Date: Dec 7, 2022
• Publicly Available Date: Jan 18, 2023
• 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: 2022
• Issue: 12
• Article Number: 28
• DOI: https://doi.org/10.1007/jhep12%282022%29028
• Public URL: https://durham-repository.worktribe.com/output/1187521