# Edge modes and Fabry-Perot Plasmonic Resonances in anomalous-Hall Thin Films

## TL;DR

This paper investigates plasmon modes on a metallic surface with an anomalous-Hall thin film, revealing localized edge modes and Fabry-Perot resonances that enable high-quality filtering of plasmon propagation.

## Contribution

It introduces a novel analysis of plasmon behavior in a three-region system with different Hall conductivities, identifying bound edge modes and resonance effects.

## Key findings

- Discovery of a single bound plasmon mode localized at interfaces.
- Observation of Airy transmission patterns with sharp maxima and minima.
- System acts as a high-quality plasmon filter.

## Abstract

We study plasmon propagation on a metallic two-dimensional surface partially coated with a thin film of anomalous-Hall material. The resulting three regions, separated by two sharp interfaces, are characterised by different Hall conductivities but identical normal conductivities. A single bound mode is found, which can localise to either interface and has an asymmetric potential profile across the region. For propagating modes, we calculate the reflection and transmission coefficients through the magnetic region. We find Airy transmission patterns with sharp maxima and minima as a function of the plasmon incidence angle. The system therefore behaves as a high-quality filter.