Holographic Zero Sound from Spacetime-Filling Branes
Nikola I. Gushterov, Andy O'Bannon, Ronnie Rodgers

TL;DR
This paper uses holography to analyze zero sound modes in strongly-interacting conformal field theories with finite temperature and chemical potential, revealing Fermi-liquid-like behavior and crossover phenomena through gravitational dual models.
Contribution
It demonstrates the existence of zero sound in holographic models with spacetime-filling branes across various parameters, extending the understanding of collective modes beyond traditional hydrodynamics.
Findings
Zero sound exists at low T/μ outside hydrodynamic regime.
Sound attenuation resembles Fermi liquid behavior with a maximum.
Identifies crossover regimes via pole collisions and spectral function analysis.
Abstract
We use holography to study sound modes of strongly-interacting conformal field theories with non-zero temperature, , and chemical potential, . Specifically, we consider charged black brane solutions of Einstein gravity in -dimensional Anti-de Sitter space coupled to a gauge field with Dirac-Born-Infeld action, representing a spacetime-filling brane. The brane action has two free parameters: the tension and the non-linearity parameter, which controls higher-order terms in the field strength. For all values of the tension, non-linearity parameter, and , and at sufficiently small momentum, we find sound modes with speed given by the conformal value and attenuation constant of hydrodynamic form. In particular we find sound at arbitrarily low , outside the usual hydrodynamic regime, but in the regime where a Fermi liquid exhibits Landau's "zero"…
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