From fractional Chern insulators to Abelian and non-Abelian fractional quantum Hall states: Adiabatic continuity and orbital entanglement spectrum

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	From fractional Chern insulators to Abelian and non-Abelian fractional quantum Hall states: Adiabatic continuity and orbital entanglement spectrum
	Liu, Z ; Bergholtz, EJ
刊名	PHYSICAL REVIEW B
	2013
卷号	87 期号:3
ISSN号	1098-0121
通讯作者	Liu, Z (reprint author), Beijing Computat Sci Res Ctr, Beijing 100084, Peoples R China.
中文摘要	The possibility of realizing lattice analogs of fractional quantum Hall (FQH) states, so-called fractional Chern insulators (FCIs), in nearly flat topological (Chern) bands has attracted a lot of recent interest. Here, we make the connection between Abelian as well as non-Abelian FQH states and FCIs more precise. Using a gauge-fixed version of Qi's Wannier basis representation of a Chern band, we demonstrate that the interpolation between several FCI states, obtained by short-range lattice interactions in a spin-orbit-coupled kagome lattice model, and the corresponding continuum FQH states is smooth: the gap remains approximately constant and extrapolates to a finite value in the thermodynamic limit, while the low-lying part of the orbital entanglement spectrum remains qualitatively unaltered. The orbital entanglement spectra also provide a first glimpse of the edge physics of FCIs via the bulk-boundary correspondence. Corroborating these results, we find that the squared overlaps between the FCI and FQH ground states are as large as 98.7% for the 8-electron Laughlin state at v = 1/3 (consistent with an earlier study) and 97.8% for the 10-electron Moore-Read state at v = 1/2. For the bosonic analogs of these states, the adiabatic continuity is also shown to hold, albeit with somewhat smaller associated overlaps, etc. Although going between the Chern bands to the Landau-level problem is often smooth, we show that this is not always the case by considering fermions at filling fraction v = 4/5, where the interpolation between Hamiltonians describing the two systems results in a phase transition. DOI:10.1103/PhysRevB.87.035306
资助信息	Alexander von Humboldt foundation; China Postdoctoral Science Foundation [2012M520149]
语种	英语
公开日期	2014-01-16
内容类型	期刊论文
源URL	[http://ir.iphy.ac.cn/handle/311004/57032]
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	Liu, Z,Bergholtz, EJ. From fractional Chern insulators to Abelian and non-Abelian fractional quantum Hall states: Adiabatic continuity and orbital entanglement spectrum[J]. PHYSICAL REVIEW B,2013,87(3).
APA	Liu, Z,&Bergholtz, EJ.(2013).From fractional Chern insulators to Abelian and non-Abelian fractional quantum Hall states: Adiabatic continuity and orbital entanglement spectrum.PHYSICAL REVIEW B,87(3).
MLA	Liu, Z,et al."From fractional Chern insulators to Abelian and non-Abelian fractional quantum Hall states: Adiabatic continuity and orbital entanglement spectrum".PHYSICAL REVIEW B 87.3(2013).