Chirality induced interface currents in the Chalker–Goddington model
Joachim Asch
Aix Marseille Université and Université de Toulon, FranceOlivier Bourget
Pontificia Universidad Católica de Chile, Santiago, ChileAlain Joye
Université Grenoble Alpes, Saint-Martin-d’Hères, France
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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 this article
Joachim Asch, Olivier Bourget, Alain Joye, Chirality induced interface currents in the Chalker–Goddington model. J. Spectr. Theory 9 (2019), no. 4, pp. 1405–1429
DOI 10.4171/JST/281