Plasmons in Holographic Graphene

TL;DR

This paper introduces a holographic model that captures plasmon behavior in 2D materials like graphene, offering a new way to connect strongly correlated systems with experimental charge response data.

Contribution

It constructs the first holographic model exhibiting the characteristic plasmon dispersion in 2D materials, advancing the theoretical understanding of strongly correlated electron systems.

Findings

Demonstrates the $ ext{omega} o ext{sqrt}(k)$ plasmon dispersion in holographic models

Provides a framework to compute charge response in strange metals

Enables comparison of holographic predictions with M-EELS experimental data

Abstract

We demonstrate how self-sourced collective modes - of which the plasmon is a prominent example due to its relevance in modern technological applications - are identified in strongly correlated systems described by holographic Maxwell theories. The characteristic $\omega \propto \sqrt{k}$ plasmon dispersion for 2D materials, such as graphene, naturally emerges from this formalism. We also demonstrate this by constructing the first holographic model containing this feature. This provides new insight into modeling such systems from a holographic point of view, bottom-up and top-down alike. Beyond that, this method provides a general framework to compute the dynamical charge response of strange metals, which has recently become experimentally accessible due to the novel technique of momentum-resolved electron energy-loss spectroscopy (M-EELS). This framework therefore opens up the exciting possibility of testing holographic models for strange metals against actual experimental data.