Quantum and spectral properties of the Labyrinth model

Yuki Takahashi

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)

Abstract

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.

Original languageEnglish
Article number063506
JournalJournal of Mathematical Physics
Volume57
Issue number6
DOIs
Publication statusPublished - 2016 Jun 1

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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