Guided modes in graphene waveguides

TL;DR

This paper explores guided modes in graphene waveguides, analyzing their properties via two dispersion relations linked to classical motion and Klein tunneling, revealing unique mode behaviors with potential quantum device applications.

Contribution

It introduces a novel analysis of guided modes in graphene waveguides based on two distinct dispersion relations, highlighting differences in mode presence related to quantum phenomena.

Findings

Third-order mode absent in classical motion

Fundamental mode absent in Klein tunneling

Potential applications in graphene-based quantum devices

Abstract

By analogy of optical waveguides, we investigate the guided modes in graphene waveguides, which is made of symmetric quantum well. The unique properties of the graphene waveguide are discussed based on the two different dispersion relations, which correspond to classical motion and Klein tunneling, respectively. It is shown that the third-order mode is absent in the classical motion, while the fundamental mode is absent in the Klein tunneling case. We hope these phenomena can lead to the potential applications in graphene-based quantum devices.