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Article Dans Une Revue Journal of Mathematical Physics Année : 2018

Hofstadter point spectrum trace and the Almost Mathieu operator

Résumé

We consider point spectrum traces in the Hofstadter model. We show how to recover the full quantum Hofstadter trace by integrating these point spectrum traces with the appropriate free density of states on the lattice. This construction is then generalized to the almost Mathieu operator and its n-th moments which can be expressed in terms of generalized Kreft coefficients.

Dates et versions

hal-01850404 , version 1 (27-07-2018)

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Stephane Ouvry, Stephan Wagner, Shuang Wu. Hofstadter point spectrum trace and the Almost Mathieu operator. Journal of Mathematical Physics, 2018, 59 (7), ⟨10.1063/1.5020147⟩. ⟨hal-01850404⟩
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