Topological waves in the continuum in magnetized graphene devices
Abstract
We show that topological waves at the interface between two magnetic domains in a graphene device are possible. First, we consider the case of a linear relation between the applied gate voltage and local density in the channel and, secondly, we investigate the effect of non-local Coulomb interactions. We obtain two distinct edge modes for each interaction type: a Yanai mode with rotational flow and dispersion relation that extends to infinite wave-number, and a Kelvin mode with purely longitudinal flow and bound dispersion relation. The scattering matrix concept is applied to verify the infinite frequency regime of the spectrum, and the bulk-edge correspondence principle is satisfied if one takes into account the Kelvin modes that merge with an imaginary cut of the bulk band.
Cite
@article{arxiv.2212.01489,
title = {Topological waves in the continuum in magnetized graphene devices},
author = {A. Ciobanu and P. Cosme and H. Terças},
journal= {arXiv preprint arXiv:2212.01489},
year = {2022}
}
Comments
graphene hydrodynamics, odd viscosity, Chern number, topological modes, topology in the continuum