Chirality induced Interface Currents in the Chalker Coddington Model
Mathematical Physics
2018-06-14 v2 Mesoscale and Nanoscale Physics
math.MP
Abstract
We study transport properties of a Chalker-Coddington type model in the plane which presents asymptotically pure anti-clockwise rotation on the left and clockwise rotation on the right. We prove delocalisation in the sense that the absolutely continuous spectrum covers the whole unit circle. The result is of topological nature and independent of the details of the model.
Cite
@article{arxiv.1708.02120,
title = {Chirality induced Interface Currents in the Chalker Coddington Model},
author = {Joachim Asch and Olivier Bourget and Alain Joye},
journal= {arXiv preprint arXiv:1708.02120},
year = {2018}
}
Comments
version to appear in Journal of Spectral Theory