Mathematical Physics
[Submitted on 6 Jan 2016
(v1)
, last revised 22 Sep 2016 (this version, v2)]
Title: Quantum and Spectral Properties of the Labyrinth Model
Title: 迷宫模型的量子和谱性质
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 small coupling regime.
Submission history
From: Yuki Takahashi [view email][v1] Wed, 6 Jan 2016 19:29:02 UTC (70 KB)
[v2] Thu, 22 Sep 2016 04:49:03 UTC (127 KB)
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