Chirality induced interface currents in the Chalker–Goddington model

  • Joachim Asch

    Aix Marseille Université and Université de Toulon, France
  • Olivier Bourget

    Pontificia Universidad Católica de Chile, Santiago, Chile
  • Alain Joye

    Université Grenoble Alpes, Saint-Martin-d’Hères, France
Chirality induced interface currents in the Chalker–Goddington model cover
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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