# Quantum hydrodynamic modeling of edge modes in chiral Berry plasmons

## TL;DR

This paper uses quantum hydrodynamic modeling to analyze edge modes in chiral Berry plasmons, revealing quantum effects that enhance chirality, confinement, and introduce new localized edge modes.

## Contribution

It introduces a semi-analytical solution for the dispersion relation of chiral Berry plasmons incorporating quantum effects, predicting new one-way edge states and enhanced edge mode confinement.

## Key findings

- Quantum effects induce a new one-way chiral edge state.
- Quantum effects increase the confinement of edge modes.
- New localized edge modes emerge with increased Berry flux.

## Abstract

A quantum hydrodynamic model is used to study the edge modes of chiral Berry plasmons. The transcendental equation of the dispersion relation is solved nonlinearly and semi-analytically. We predict a new one-way chiral edge state with the quantum effect compared to that without the quantum effect, at the both side of $q=0$. Indeed, the plasmon frequencies for positive and negative $q$, exhibit different limits for $q\rightarrow 0^{-}$ and $q\rightarrow 0^{+}$. As a result, the quantum effect enhances the chirality in the vicinity of $q=0$. Both counterpropagating edge modes exhibit greater confinement to the edge with the quantum effect. In addition, new localized edge modes are found with increased Berry flux in both cases, i.e., without and with the quantum effect.