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Yu, Y; Yu, Y , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.
From composite fermions to the Calogero-Sutherland model: Edge of the fractional quantum Hall liquid and the dimension reduction
Source PublicationPHYSICAL REVIEW B
KeywordLuttinger Liquids States Excitations Transport Exchange Systems Nu=1/2
AbstractWe derive a microscopic model describing low-lying edge excitations in a fractional quantum Hall liquid with v = v*/(phi v* + 1). For v* > 0, it is found that the composite-fermion model reduces to an SU(v*) Calogero-Sutherland model in a dimension reduction, whereas it is not exactly soluble for v* < 0. However, the ground states in both cases can be found, and the low-lying excitations can show chiral Luttinger-liquid behaviors. On the other hand, we show that the finite-temperature behavior of the G-T curve will deviate from the prediction of the chiral Luttinger liquid. We also point out that the suppression of the "spin'' degrees of freedom agrees with very recent experiments by Chang et al. [Phys. Rev. Lett. 77, 2538 (1996)]. The two-boson model of Lee and Wen (preprint, cond-mat/9801318) is described microscopically.
2000
ISSN1098-0121
Volume61Issue:7Pages:4465-4468
Subject AreaPhysics
Indexed BySCI
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Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/13015
Collection理论物理所科研产出_SCI论文
Corresponding AuthorYu, Y , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.
Recommended Citation
GB/T 7714
Yu, Y,Yu, Y , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.. From composite fermions to the Calogero-Sutherland model: Edge of the fractional quantum Hall liquid and the dimension reduction[J]. PHYSICAL REVIEW B,2000,61(7):4465-4468.
APA Yu, Y,&Yu, Y , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China..(2000).From composite fermions to the Calogero-Sutherland model: Edge of the fractional quantum Hall liquid and the dimension reduction.PHYSICAL REVIEW B,61(7),4465-4468.
MLA Yu, Y,et al."From composite fermions to the Calogero-Sutherland model: Edge of the fractional quantum Hall liquid and the dimension reduction".PHYSICAL REVIEW B 61.7(2000):4465-4468.
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