ITP OpenIR  > 理论物理所1978-2010年知识产出
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.
1997
发表期刊PHYSICAL REVIEW B
ISSN1098-0121
卷号56期号:20页码:13279-13289
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.
关键词Quantum Hall States Many-body Problem One-dimension Fractional Statistics Angular-momentum Field-theory Finite-size Excitations Model Hierarchy
学科领域Physics
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收录类别SCI
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/12407
专题理论物理所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.
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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.
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