Kohmoto模型的谱规则性和缺陷

IF 1.4 3区物理与天体物理 Q2 PHYSICS, MATHEMATICAL

Annales Henri Poincaré Pub Date : 2025-05-10 DOI:10.1007/s00023-025-01578-8

Siegfried Beckus, Jean Bellissard, Yannik Thomas

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引用次数: 0

摘要

我们研究了Kohmoto模型，包括Sturmian hamilton和相关的Kohmoto蝴蝶。我们用法雷数证明了算子的频谱估计。此外，我们确定了在合理旋转下导致Kohmoto蝴蝶光谱缺陷的杂质。我们的结果与从几乎马修算子和相关的霍夫施塔特蝴蝶得到的结果相似。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Spectral Regularity and Defects for the Kohmoto Model

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Spectral Regularity and Defects for the Kohmoto Model

We study the Kohmoto model including Sturmian Hamiltonians and the associated Kohmoto butterfly. We prove spectral estimates for the operators using Farey numbers. In addition, we determine the impurities at rational rotations leading to the spectral defects in the Kohmoto butterfly. Our results are similar to the ones obtained for the almost-Mathieu operator and the associated Hofstadter butterfly.

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来源期刊

Annales Henri Poincaré 物理-物理：粒子与场物理

CiteScore

3.00

自引率

6.70%

发文量

108

审稿时长

6-12 weeks

期刊介绍： The two journals Annales de l''Institut Henri Poincaré, physique théorique and Helvetica Physical Acta merged into a single new journal under the name Annales Henri Poincaré - A Journal of Theoretical and Mathematical Physics edited jointly by the Institut Henri Poincaré and by the Swiss Physical Society. The goal of the journal is to serve the international scientific community in theoretical and mathematical physics by collecting and publishing original research papers meeting the highest professional standards in the field. The emphasis will be on analytical theoretical and mathematical physics in a broad sense.