Bloch Electrons in a Magnetic Field - Why Does Chaos Send Electrons the Hard Way?
Mesoscale and Nanoscale Physics
2009-10-31 v3 chao-dyn
Chaotic Dynamics
Abstract
We find that a 2D periodic potential with different modulation amplitudes in x- and y-direction and a perpendicular magnetic field may lead to a transition to electron transport along the direction of stronger modulation and to localization in the direction of weaker modulation. In the experimentally accessible regime we relate this new quantum transport phenomenon to avoided band crossing due to classical chaos.
Cite
@article{arxiv.cond-mat/9810313,
title = {Bloch Electrons in a Magnetic Field - Why Does Chaos Send Electrons the Hard Way?},
author = {R. Ketzmerick and K. Kruse and D. Springsguth and T. Geisel},
journal= {arXiv preprint arXiv:cond-mat/9810313},
year = {2009}
}
Comments
4 pages, 3 figures, minor modifications, PRL to appear