A geometric Iwatsuka type effect in quantum layers
Mathematical Physics
2020-01-10 v2 Mesoscale and Nanoscale Physics
math.MP
Spectral Theory
Quantum Physics
Abstract
We study motion of a charged particle confined to Dirichlet layer of a fixed width placed into a homogeneous magnetic field. If the layer is planar and the field is perpendicular to it the spectrum consists of infinitely degenerate eigenvalues. We consider translationally invariant geometric perturbations and derive several sufficient conditions under which a magnetic transport is possible, that is, the spectrum, in its entirety or a part of it, becomes absolutely continuous.
Cite
@article{arxiv.1701.05714,
title = {A geometric Iwatsuka type effect in quantum layers},
author = {Pavel Exner and Tomáš Kalvoda and Matěj Tušek},
journal= {arXiv preprint arXiv:1701.05714},
year = {2020}
}
Comments
27 pages, one figure