Abstract
The plasmon is a ubiquitous collective mode in charged liquids. Due to the long-range Coulomb interaction, the massless zero sound mode of the neutral system acquires a finite plasmon frequency in the long-wavelength limit. In the zero-temperature state of conventional metals -- the Fermi liquid -- the plasmon lives infinitely long at long wavelength when the system is (effectively) translationally invariant. In contrast, we will show that in strongly entangled strange metals the protection of zero sound fails at finite frequency and plasmons are always short lived regardless of their wavelength. Computing the explicit plasmon response in holographic strange metals as an example, we show that decay into the quantum critical continuum replaces Landau damping and this happens for any wavelength.
Highlights
The plasmon is a ubiquitous propagating mode in electromagnetically charged systems
III we introduce the holographic models for strange metals and show how the quantum critical sector is encoded in the geometry
We review how their zero sound response is encoded in quasi-normal-mode (QNM) fluctuations of this dynamical space-time geometry
Summary
The plasmon is a ubiquitous propagating mode in electromagnetically charged systems. It is governed by a simple universal principle. The holographic strange metals may be viewed as “strongly interacting” (in the critical theory sense) generalizations of the Fermi liquid, with two-sector collective responses where the QC sector supplants the Lindhard continuum. From this perspective, the vanishing of the Lindhard continuum at zero momentum is a singular feature of the free fermion fixed point. IV we show how the longrange Coulomb interaction can be encoded in the holographic dictionary as a so-called double trace deformation, a point made in the recent article [19] This allows us to compute the corresponding charged density-density response function and study the corresponding modified quasi-normal-mode spectrum.
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