Quantum and spectral properties of the Labyrinth model

Yuki Takahashi

doi:10.1063/1.4953379

Quantum and spectral properties of the Labyrinth model

Yuki Takahashi

Advanced Institute for Materials Research (AIMR)

Research output: Contribution to journal › Article › peer-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 language	English
Article number	063506
Journal	Journal of Mathematical Physics
Volume	57
Issue number	6
DOIs	https://doi.org/10.1063/1.4953379
Publication status	Published - 2016 Jun 1

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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