Microscopic picture of a chiral Luttinger liquid: Composite fermion theory of edge states | |
Yu, Y![]() | |
刊名 | PHYSICAL REVIEW B
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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. |
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