Spectral transition line for the extended Harper's model in the positive Lyapunov exponent regime

2017/08/10 by Fan Yang, Yang, Fan
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum chaos and dynamical systems #Quantum many-body systems #Spectral Theory in Mathematical Physics #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1708.03085

18 pages

arxiv created 2017/08/10 · openalex publication_date 2017/08/10 · arxiv updated 2017/08/11 · openalex created_date 2017/08/17 · openalex updated_date 2026/07/28

Abstract

We study the spectral transition line of the extended Harper's model in the positive Lyapunov exponent regime. We show that both pure point spectrum and purely singular continuous spectrum occur for dense subsets of frequencies on the transition line.

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