Microscopic picture of a chiral Luttinger liquid: Composite fermion theory of edge states

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	Microscopic picture of a chiral Luttinger liquid: Composite fermion theory of edge states
	Yu, Y; Zheng, WJ; Zhu, ZY; Yu, Y , ACAD SINICA,INST THEORET PHYS,POB 2735,BEIJING 100080,PEOPLES R CHINA.
刊名	PHYSICAL REVIEW B
	1997
卷号	56 期号:20 页码:13279-13289
关键词	Quantum Hall States Many-body Problem One-dimension Fractional Statistics Angular-momentum Field-theory Finite-size Excitations Model Hierarchy
ISSN号	1098-0121
英文摘要	We derive a microscopic theory of the composite fermions describing the low-lying edge excitations in the fractional quantum Hall liquid. Using the composite fermion transformation, one finds that the edge states of the v=1/m system in a disk sample are described by, in the one dimensional limit, the Calogero-Sutherland model with other interactions between the composite fermions as perturbations. It is shown that a large class of short-range interactions renormalize only the Fermi velocity while the exponent g=v=1/m is invariant under the condition of chirality. By taking the sharp edge potential into account, we obtain a microscopic justification of the chiral Luttinger liquid model of the fractional quantum Hall edge states. The approach applied to the v=1/m system can be generalized to the other edge states with odd denominator filling factors.
学科主题	Physics
URL标识	查看原文
公开日期	2012-08-29
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/12407]
专题	理论物理研究所_理论物理所1978-2010年知识产出
通讯作者	Yu, Y , ACAD SINICA,INST THEORET PHYS,POB 2735,BEIJING 100080,PEOPLES R CHINA.
推荐引用方式 GB/T 7714	Yu, Y,Zheng, WJ,Zhu, ZY,et al. Microscopic picture of a chiral Luttinger liquid: Composite fermion theory of edge states[J]. PHYSICAL REVIEW B,1997,56(20):13279-13289.
APA	Yu, Y,Zheng, WJ,Zhu, ZY,&Yu, Y , ACAD SINICA,INST THEORET PHYS,POB 2735,BEIJING 100080,PEOPLES R CHINA..(1997).Microscopic picture of a chiral Luttinger liquid: Composite fermion theory of edge states.PHYSICAL REVIEW B,56(20),13279-13289.
MLA	Yu, Y,et al."Microscopic picture of a chiral Luttinger liquid: Composite fermion theory of edge states".PHYSICAL REVIEW B 56.20(1997):13279-13289.