Edge-mode combinations in the entanglement spectra of non-Abelian fractional quantum Hall states on the torus

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	Edge-mode combinations in the entanglement spectra of non-Abelian fractional quantum Hall states on the torus
	Liu, Z ; Bergholtz, EJ ; Fan, H ; Lauchli, AM
刊名	PHYSICAL REVIEW B
	2012
卷号	85 期号:4
关键词	MATRIX RENORMALIZATION-GROUP LANDAU-LEVEL PHASE-DIAGRAM 2D ELECTRONS EXCITATIONS COMPUTATION LIQUID ORDER ENTROPY SYSTEMS
ISSN号	1098-0121
通讯作者	Liu, Z: Max Planck Inst Quantum Opt, Hans Kopfermann Str 1, D-85748 Garching, Germany.
中文摘要	We present a detailed analysis of bipartite entanglement in the non-Abelian Moore-Read fractional quantum Hall state of bosons and fermions on the torus. In particular, we show that the entanglement spectra can be decomposed into intricate combinations of different sectors of the conformal field theory describing the edge physics, and that the edge level counting and tower structure can be microscopically understood by considering the vicinity of the thin-torus limit. We also find that the boundary entropy density of the Moore-Read state is markedly higher than in the Laughlin states investigated so far. Despite the torus geometry being somewhat more involved than in the sphere geometry, our analysis and insights may prove useful when adopting entanglement probes to other systems that are more easily studied with periodic boundary conditions, such as fractional Chern insulators and lattice problems in general.
收录类别	SCI
资助信息	MPG-CAS; Max Planck Institute of Quantum Optics; Alexander von Humboldt Foundation; "973" program [2010CB922904]
语种	英语
公开日期	2013-09-17
内容类型	期刊论文
源URL	[http://ir.iphy.ac.cn/handle/311004/36321]
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,Fan, H,et al. Edge-mode combinations in the entanglement spectra of non-Abelian fractional quantum Hall states on the torus[J]. PHYSICAL REVIEW B,2012,85(4).
APA	Liu, Z,Bergholtz, EJ,Fan, H,&Lauchli, AM.(2012).Edge-mode combinations in the entanglement spectra of non-Abelian fractional quantum Hall states on the torus.PHYSICAL REVIEW B,85(4).
MLA	Liu, Z,et al."Edge-mode combinations in the entanglement spectra of non-Abelian fractional quantum Hall states on the torus".PHYSICAL REVIEW B 85.4(2012).