Plasmon excitations on a single-wall carbon nanotube by external charges: two-dimensional, two-fluid hydrodynamic model

TL;DR

This paper develops a quantized two-fluid hydrodynamic model to analyze plasmon excitations in single-wall carbon nanotubes caused by external charges, providing insights into energy loss and excitation probabilities.

Contribution

It introduces a quantization of the hydrodynamic model with a two-fluid approach for sigma and pi electrons in nanotubes, aligning theoretical plasmon energies with experimental data.

Findings

Plasmon energies match experimental results within near-quantitative accuracy.

The model predicts excitation probabilities for various plasmon modes.

Calculations of stopping force and energy loss spectra for incident particles.

Abstract

We present a quantization of the hydrodynamic model to describe the excitation of plasmons in a single-walled carbon nanotube by a fast point charge moving near its surface at an arbitrary angle of incidence. Using a two-dimensional electron gas represented by two interacting fluids, which takes into account the different nature of the sigma and pi electrons, we obtain plasmon energies in near-quantitative agreement with experiment. Further, the implemented quantization procedure allows us to study the probability of exciting various plasmon modes, as well as the stopping force and energy loss spectra of the incident particle.