霍夫施塔特蝴蝶饰Quantum phase diagram
Hofstadter butterfly as Quantum phase diagram
摘要：
霍夫施塔特蝴蝶被看作是一个量子相图与无限多个阶段，标记为他们的（整数）霍尔电导，和分形结构。我们描述了这个相图的各种属性：我们建立吉布斯相规则，计数每个阶段的组件的数量，并表征多相共存的集合。
英文摘要：
The Hofstadter butterfly is viewed as a quantum phase diagram with infinitely many phases, labelled by their (integer) Hall conductance, and a fractal structure. We describe various properties of this phase diagram: We establish Gibbs phase rules; count the number of components of each phase, and characterize the set of multiple phase coexistence.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
