A geometric Iwatsuka type effect in quantum layers
Abstract
We study motion of a charged particle confined to a 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.
 Publication:

Journal of Mathematical Physics
 Pub Date:
 April 2018
 DOI:
 10.1063/1.5030517
 arXiv:
 arXiv:1701.05714
 Bibcode:
 2018JMP....59d2105E
 Keywords:

 Mathematical Physics;
 Condensed Matter  Mesoscale and Nanoscale Physics;
 Mathematics  Spectral Theory;
 Quantum Physics;
 81Q37;
 35J10;
 35Q40;
 58J50
 EPrint:
 27 pages, one figure