Holographic Charge Oscillations

Abstract

The Reissner-Nordstrom 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

15 pages + appendix, 13 figures

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Cited by in corpus (14)

• Generalized global symmetries and holography
• Anomalous attenuation of plasmons in strange metals and holography
• A Holographic Superfluid Symphony
• Spectral weight and spatially modulated instabilities in holographic superfluids
• Separable wave equations for gravitoelectromagnetic perturbations of rotating charged black strings
• Overcoming obstacles in nonequilibrium holography
• A Framework for Studying a Quantum Critical Metal in the Limit $N_f\to 0$
• Momentum Analyticity of Transverse Polarization Tensor in the Normal Phase of a Holographic Superconductor
• "$1k_F$" Singularities and Finite Density ABJM Theory at Strong Coupling
• Large N Thirring Matter in Three Dimensions
• Confinement/deconfinement transition from symmetry breaking in gauge/gravity duality
• Momentum analyticity of the holographic electric polarizability in 2+1 dimensions
• Holographic Magnetic Susceptibility
• A Holographic Static Transverse Polarization At Non-zero Temperatures