三角晶格中的拓扑平带和量子霍尔效应
Topological Flat Band and Quantum Hall Effect in the Triangular Lattice
DOI: 10.12677/CMP.2018.71006, PDF,    科研立项经费支持
作者: 龚乐, 魏浩*, 陶相如：新疆大学物理科学与技术学院，新疆 乌鲁木齐
关键词: 拓扑平带；交错磁通；量子霍尔效应；Topological Flat Band； Staggered Flux； Quantum Hall Effect
摘要: 本文采用紧束缚模型研究三角晶格中的拓扑平带。在模型中引入净磁场为零的交错磁场，通过改变格点之间的次近邻跃迁强度和交错磁通的大小能够得到具有大带隙且拓扑非平庸的近平带结构。此拓扑平带的高陈数C = 2，进而可以产生稳定的整数量子霍尔效应。
Abstract: We use the tight-bonding model to study the topological flat band in a triangular lattice. Under a staggered magnetic field with zero total flux through the unit cell, the topological nearly flat band with a large band gap and nonzero Chern number can be obtained by manipulating the next nearest neighbor hopping and staggered flux. This topological flat band carries a high Chern number C = 2, which can yield an integer quantum Hall effect.
文章引用：龚乐, 魏浩, 陶相如. 三角晶格中的拓扑平带和量子霍尔效应[J]. 凝聚态物理学进展, 2018, 7(1): 43-47. https://doi.org/10.12677/CMP.2018.71006

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