Collective excitations of holographic quantum liquids in a magnetic field

Daniel K. Brattan, Richard A. Davison, Simon A. Gentle, Andy O'Bannon

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

We use holography to study N = 4 supersymmetric SU(N c) Yang-Mills theory in the large-N c and large-coupling limits coupled to a number N f ≪ N c of (n + 1)- dimensional massless supersymmetric hypermultiplets in the fundamental representation of SU(N c), with n = 2, 3. We introduce a temperature T, a baryon number chemical potential μ, and a baryon number magnetic field B, and work in a regime with μ ≫ T, √ B. We study the collective excitations of these holographic quantum liquids by computing the poles in the retarded Green's function of the baryon number charge density operator and the associated peaks in the spectral function. We focus on the evolution of the collective excitations as we increase the frequency relative to T, i.e. the hydrodynamic/collisionless crossover. We find that for all B, at low frequencies the tallest peak in the spectral function is associated with hydrodynamic charge diffusion. At high frequencies the tallest peak is associated with a sound mode similar to the zero sound mode in the collisionless regime of a Landau Fermi liquid. The sound mode has a gap proportional to B, and as a result for intermediate frequencies and for B sufficiently large compared to T the spectral weight is strongly suppressed. We find that the hydrodynamic/ collisionless crossover occurs at a frequency that is approximately B-independent.

Original languageEnglish
Article number084
JournalJournal of High Energy Physics
Volume2012
Issue number11
DOIs
Publication statusPublished - 15 Nov 2012

Keywords

  • D-branes
  • Holography and condensed matter physics (AdS/CMT)

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Fingerprint Dive into the research topics of 'Collective excitations of holographic quantum liquids in a magnetic field'. Together they form a unique fingerprint.

Cite this