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Main Authors: Gabriele, Francesco, Senese, Riccardo, Castellani, Claudio, Benfatto, Lara
Format: Preprint
Published: 2023
Subjects:
Online Access:https://arxiv.org/abs/2307.11613
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author Gabriele, Francesco
Senese, Riccardo
Castellani, Claudio
Benfatto, Lara
author_facet Gabriele, Francesco
Senese, Riccardo
Castellani, Claudio
Benfatto, Lara
contents Transverse plasma polaritons and longitudinal plasmons describe the propagation of light-matter modes in an isotropic metal. However, in a layered metal the anisotropy of the bare electromagnetic response mixes the longitudinal and transverse excitations, making the distinction between polariton and plasmon blurred at small wavevectors, where retardation effects of the electromagnetic interactions become quantitatively relevant. In the usual Kubo approach for the linear response, this effect appears as a mixing between the density and the transverse current fluctuations, that requires to revise the standard RPA approach for density correlations where only the instantaneous Coulomb potential is included. In this paper we derive the general expression for the density and current correlation functions at long wavelength in a layered metal, showing that below a crossover scale set by the anisotropy of the plasma frequencies retardation effects make the dispersion of the generalized plasma modes different from the standard RPA result. In addition, the mixed longitudinal and transverse nature of these excitations reflects in a double-peak structure for the density response, that can be eventually accessed by means of high-momentum resolution electron-energy-loss or X-rays spectroscopies.
format Preprint
id arxiv_https___arxiv_org_abs_2307_11613
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Charge density response in layered metals: retardation effects, generalized plasma waves and their spectroscopic signatures
Gabriele, Francesco
Senese, Riccardo
Castellani, Claudio
Benfatto, Lara
Strongly Correlated Electrons
Mesoscale and Nanoscale Physics
Transverse plasma polaritons and longitudinal plasmons describe the propagation of light-matter modes in an isotropic metal. However, in a layered metal the anisotropy of the bare electromagnetic response mixes the longitudinal and transverse excitations, making the distinction between polariton and plasmon blurred at small wavevectors, where retardation effects of the electromagnetic interactions become quantitatively relevant. In the usual Kubo approach for the linear response, this effect appears as a mixing between the density and the transverse current fluctuations, that requires to revise the standard RPA approach for density correlations where only the instantaneous Coulomb potential is included. In this paper we derive the general expression for the density and current correlation functions at long wavelength in a layered metal, showing that below a crossover scale set by the anisotropy of the plasma frequencies retardation effects make the dispersion of the generalized plasma modes different from the standard RPA result. In addition, the mixed longitudinal and transverse nature of these excitations reflects in a double-peak structure for the density response, that can be eventually accessed by means of high-momentum resolution electron-energy-loss or X-rays spectroscopies.
title Charge density response in layered metals: retardation effects, generalized plasma waves and their spectroscopic signatures
topic Strongly Correlated Electrons
Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2307.11613