论文标题
准绝缘子中的平坦拓扑带和本征态关键性
Flat Topological Bands and Eigenstate Criticality in a Quasiperiodic Insulator
论文作者
论文摘要
下折的布里渊区的影响可以通过扁平的带张开空隙并消除动能。准碘系统是此过程的极端例子，这导致了新的阶段和关键特征态。我们在具有二维绝缘子中具有准二级潜能的二维拓扑绝缘子的分析和数值研究，并发现复杂的相图。我们研究所得的征量量相变的性质；准碘电势可以使琐碎的绝缘子拓扑结构通过与随机系统不同的独特普遍性类别诱导拓扑绝缘体到金属相变。这种危险行为的财富随着动能的淬火而同时发生，导致平坦的拓扑带，可以用作实现没有磁场的分数量子霍尔效应的平台。
The effects of downfolding a Brillouin zone can open gaps and quench the kinetic energy by flattening bands. Quasiperiodic systems are extreme examples of this process, which leads to new phases and critical eigenstates. We analytically and numerically investigate these effects in a two dimensional topological insulator with a quasiperiodic potential and discover a complex phase diagram. We study the nature of the resulting eigenstate quantum phase transitions; a quasiperiodic potential can make a trivial insulator topological and induce topological insulator-to-metal phase transitions through a unique universality class distinct from random systems. This wealth of critical behavior occurs concomitantly with the quenching of the kinetic energy, resulting in flat topological bands that could serve as a platform to realize the fractional quantum Hall effect without a magnetic field.
