Quantum and spectral properties of the Labyrinth model

Yuki Takahashi

研究成果: Article査読

7 被引用数 (Scopus)

抄録

We consider the Labyrinth model, which is a two-dimensional quasicrystal model. We show that the spectrum of this model, which is known to be a product of two Cantor sets, is an interval for small values of the coupling constant. We also consider the density of states measure of the Labyrinth model and show that it is absolutely continuous with respect to Lebesgue measure for almost all values of coupling constants in the small coupling regime.

本文言語English
論文番号063506
ジャーナルJournal of Mathematical Physics
57
6
DOI
出版ステータスPublished - 2016 6 1

ASJC Scopus subject areas

  • 統計物理学および非線形物理学
  • 数理物理学

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