论文标题
石墨烯超晶格中拓扑相变和范霍夫奇异转向机构的分类
Classification of Topological Phase Transitions and van Hove Singularity Steering Mechanism in Graphene Superlattices
论文作者
论文摘要
我们研究了在外部磁场中石墨烯超晶格中的量子相变，在其中提出了一个框架，以对多叶的dirac fermion临界点进行分类，描述了整数和分数Hofstader-Chern-Chern-Chern绝缘子的跳跃拓扑相变。我们争论并为存在的过渡的存在提供了数值支持，这些过渡可以通过Chern Band和Chern Band和van Hove奇异性的非平凡相互作用来解释，而这些过渡的相互作用附近是电荷中立性的。这项工作为传统量子大厅高原过渡以外的关键现象提供了一条途径。
We study quantum phase transitions in graphene superlattices in external magnetic fields, where a framework is presented to classify multiflavor Dirac fermion critical points describing hopping tuned topological phase transitions of integer and fractional Hofstadter-Chern insulators. We argue and provide numerical support for the existence of transitions that can be explained by a nontrivial interplay of Chern bands and van Hove singularities near charge neutrality. This work provides a route to critical phenomena beyond conventional quantum Hall plateau transitions.
