Friedel Oscillations in Holographic Metals

Abstract

In this article we study the conditions under which holographic metallic states display Friedel oscillations. We focus on systems where the bulk charge density is not hidden behind a black hole horizon. Understanding holographic Friedel oscillations gives a clean way to characterize the boundary system, complementary to probe fermion calculations. We find that fermions in a "hard wall" AdS geometry unambiguously display Friedel oscillations. However, similar oscillations are washed out for electron stars, suggesting a smeared continuum of Fermi surfaces.

26 pages, 5 figures

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• Holographic Charge Oscillations
• Holographic Dual of the Lowest Landau Level
• Quantum information probes of charge fractionalization in large-$N$ gauge theories
• Magnetic oscillations in a holographic liquid
• Diving inside holographic metals
• A Framework for Studying a Quantum Critical Metal in the Limit $N_f\to 0$
• "$1k_F$" Singularities and Finite Density ABJM Theory at Strong Coupling