Tunable Band Topology Reflected by Fractional Quantum Hall States in Two-Dimensional Lattices

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	Tunable Band Topology Reflected by Fractional Quantum Hall States in Two-Dimensional Lattices
	Wang, D ; Liu, Z ; Cao, JP ; Fan, H
刊名	PHYSICAL REVIEW LETTERS
	2013
卷号	111 期号:18
通讯作者	Wang, D (reprint author), Chinese Acad Sci, Inst Phys, Beijing 100190, Peoples R China.
中文摘要	Two-dimensional lattice models subjected to an external effective magnetic field can form nontrivial band topologies characterized by nonzero integer band Chern numbers. In this Letter, we investigate such a lattice model originating from the Hofstadter model and demonstrate that the band topology transitions can be realized by simply introducing tunable longer-range hopping. The rich phase diagram of band Chern numbers is obtained for the simple rational flux density and a classification of phases is presented. In the presence of interactions, the existence of fractional quantum Hall states in both vertical bar C vertical bar = 1 and vertical bar C vertical bar > 1 bands is confirmed, which can reflect the band topologies in different phases. In contrast, when our model reduces to a one-dimensional lattice, the ground states are crucially different from fractional quantum Hall states. Our results may provide insights into the study of new fractional quantum Hall states and experimental realizations of various topological phases in optical lattices.
资助信息	973'' program [2010CB922904]; CAS; Department of Energy, Office of Basic Energy Sciences [DE-SC0002140]; China Postdoctoral Science Foundation [2012M520149]; NSFC Z. L. acknowledges E. J. Bergholtz, A. M. Lauchli, and R. Moessner for related collaborations and thanks E. J. Bergholtz for useful discussions. This work is supported by 973'' program (2010CB922904), NSFC, and grants from CAS. Z. L. is supported by the Department of Energy, Office of Basic Energy Sciences through Grant No. DE-SC0002140, and the China Postdoctoral Science Foundation, Grant No. 2012M520149.
语种	英语
公开日期	2014-01-17
内容类型	期刊论文
源URL	[http://ir.iphy.ac.cn/handle/311004/57794]
专题	物理研究所_物理所公开发表论文_物理所公开发表论文_期刊论文
推荐引用方式 GB/T 7714	Wang, D,Liu, Z,Cao, JP,et al. Tunable Band Topology Reflected by Fractional Quantum Hall States in Two-Dimensional Lattices[J]. PHYSICAL REVIEW LETTERS,2013,111(18).
APA	Wang, D,Liu, Z,Cao, JP,&Fan, H.(2013).Tunable Band Topology Reflected by Fractional Quantum Hall States in Two-Dimensional Lattices.PHYSICAL REVIEW LETTERS,111(18).
MLA	Wang, D,et al."Tunable Band Topology Reflected by Fractional Quantum Hall States in Two-Dimensional Lattices".PHYSICAL REVIEW LETTERS 111.18(2013).