安德森本地化
物理
周期边界条件
热力学极限
无穷小
极限(数学)
临界指数
边界(拓扑)
凝聚态物理
统计物理学
边值问题
量子力学
相变
数学
数学分析
作者
Anffany Chen,Joseph Maciejko,Igor Boettcher
标识
DOI:10.1103/physrevlett.133.066101
摘要
We study Anderson localization in disordered tight-binding models on hyperbolic lattices. Such lattices are geometries intermediate between ordinary two-dimensional crystalline lattices, which localize at infinitesimal disorder, and Bethe lattices, which localize at strong disorder. Using state-of-the-art computational group theory methods to create large systems, we approximate the thermodynamic limit through appropriate periodic boundary conditions and numerically demonstrate the existence of an Anderson localization transition on the {8,3} and {8,8} lattices. We find unusually large critical disorder strengths, determine critical exponents, and observe a strong finite-size effect in the level statistics.
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