Magnetic transport in laterally coupled layers
Spectral Theory
2022-10-12 v1 Mathematical Physics
math.MP
Quantum Physics
Abstract
We discuss magnetic transport in the system of two adjacent hard-wall layers exposed to a homogeneous field perpendicular to the layer plane and coupled laterally through a strip-shaped window in the common boundary. We show that the spectrum is a combination of absolutely continuous and flat bands, the latter being present only if the widths of the two layers are commensurate, and derive their properties. We also analyze the one-sided geometry in which the barrier separating the two layers is a halfplane.
Keywords
Cite
@article{arxiv.2207.01252,
title = {Magnetic transport in laterally coupled layers},
author = {Pavel Exner},
journal= {arXiv preprint arXiv:2207.01252},
year = {2022}
}
Comments
15 pages, three figures