# A geometric Iwatsuka type effect in quantum layers.

@article{Exner2017AGI, title={A geometric Iwatsuka type effect in quantum layers.}, author={Pavel Exner and T. Kalvoda and Matvej Tuvsek}, journal={arXiv: Mathematical Physics}, year={2017} }

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.

## 3 Citations

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Translationnally invariant bidimensional magnetic Laplacians are considered. Using an improved version of the harmonic approximation, we establish the absence of point spectrum under various…

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