Collective modes of polarizable holographic media in magnetic fields

Abstract

We consider a neutral holographic plasma with dynamical electromagnetic interactions in a finite external magnetic field. The Coulomb interactions are introduced via mixed boundary conditions for the Maxwell gauge field. The collective modes at finite wave-vector are analyzed in detail and compared to the magneto-hydrodynamics results valid only at small magnetic fields. Surprisingly, at large magnetic field, we observe the appearance of two plasmon-like modes whose corresponding effective plasma frequency grows with the magnetic field and is not supported by any background charge density. Finally, we identify a mode collision which allows us to study the radius of convergence of the linearized hydrodynamics expansion as a function of the external magnetic field. We find that the radius of convergence in momentum space, related to the diffusive transverse electromagnetic mode, increases quadratically with the strength of the magnetic field.

14 pages, 6 figures; v2: references added

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Cited by in corpus (10)

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• Holography and magnetohydrodynamics with dynamical gauge fields
• The breakdown of magneto-hydrodynamics near AdS${}_2$ fixed point and energy diffusion bound
• Quasi-normal modes of dyonic black holes and magneto-hydrodynamics
• Collective dynamics and the Anderson-Higgs mechanism in a bona fide holographic superconductor
• Relativistic Hydrodynamics: A Singulant Perspective
• Chiral magnetic waves in strongly coupled Weyl semimetals
• Long-time tails in the SYK chain from the effective field theory with a large number of derivatives
• Characteristic momentum of Hydro+ and a bound on the speed of sound near the QCD critical point
• Holographic D-brane constructions with dynamical gauge fields