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arXiv · 1408.2814

Chambers's formula for the graphene and the Hou model with kagome periodicity and applications

Bernard Helffer·Philippe Kerdelhué·Jimena Royo-Letelier
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Abstract

The aim of this article is to prove that for the graphene model like for a model considered by the physicist Hou on a kagome lattice, there exists a formula which is similar to the one obtained by Chambers for the Harper model. As an application, we propose a semi-classical analysis of the spectrum of the Hou butterfly near a flat band.

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Bernard Helffer, Philippe Kerdelhué, Jimena Royo-Letelier. 2014-08-12. Chambers's formula for the graphene and the Hou model with kagome periodicity and applications. https://arxiv.org/abs/1408.2814

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