Holographic Charge Oscillations

Blake, M.; Donos, A.; Tong, D.

Abstract

The Reissner-Nordström black hole provides the prototypical description of a holographic system at finite density. We study the response of this system to the presence of a local, charged impurity. Below a critical temperature, the induced charge density, which screens the impurity, exhibits oscillations. These oscillations can be traced to the singularities in the density-density correlation function moving in the complex momentum plane. At finite temperature, the oscillations are very similar to the Friedel oscillations seen in Fermi liquids. However, at zero temperature the oscillations in the black hole background remain exponentially damped, while Friedel oscillations relax to a power-law.

Citation

Blake, M., Donos, A., & Tong, D. (2015). Holographic Charge Oscillations. Journal of High Energy Physics, 2015(4), Article 019. https://doi.org/10.1007/jhep04%282015%29019

• Journal Article Type: Article
• Acceptance Date: Mar 11, 2015
• Online Publication Date: Apr 7, 2015
• Publication Date: Apr 7, 2015
• Deposit Date: Dec 10, 2014
• Publicly Available Date: Apr 27, 2015
• 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: 2015
• Issue: 4
• Article Number: 019
• DOI: https://doi.org/10.1007/jhep04%282015%29019
• Keywords: Gauge-gravity correspondence, AdS-CFT correspondence, Holography and condensed matter physics (AdS/CMT).
• Public URL: https://durham-repository.worktribe.com/output/1440399