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Characterization of one-dimensional Luttinger liquids in terms of fractional exclusion statistics
Wu, YS; Yu, Y; Yang, HX; Yu, Y , Univ Utah, Dept Phys, Salt Lake City, UT 84112 USA.
2001
发表期刊NUCLEAR PHYSICS B
ISSN0550-3213
卷号604期号:3页码:551-579
摘要We develop a bosonization approach to study the low temperature properties of one-dimensional gas of particles obeying fractional exclusion statistics (FES). It is shown that such ideal gas reproduces the low-energy excitations and asymptotic exponents of a one-component Luttinger liquid (with no internal degrees of freedom). At low energy (or temperature), the bosonized effective theory is identified to the c = 1 conformal field theory (CFT) with compactified radius determined by the statistics parameter lambda. Moreover, this CFT can be put into a form of the harmonic fluid description for Luttinger liquids, with the Haldane controlling parameter identified with the statistics parameter (of quasi-particle excitations). Thus we propose to use the latter to characterize the fixed points of 1-d Luttinger liquids. Such a characterization is further shown to be valid for generalized ideal gas of particles with mutual statistics in momentum space and for non-ideal gas with Luttinger-type interactions: In either case, the low temperature behavior is controlled by an effective statistics varying in a fixed-point line. (C) 2001 Elsevier Science B.V. All rights reserved.
部门归属Univ Utah, Dept Phys, Salt Lake City, UT 84112 USA; Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China; Zhejiang Univ, Dept Phys, Hangzhou 310027, Peoples R China
关键词Calogero-sutherland Model Quantum Fluids Field-theory Gas Particles State
学科领域Physics
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收录类别SCI
WOS记录号WOS:000169590900005
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文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/12721
专题理论物理所1978-2010年知识产出
通讯作者Yu, Y , Univ Utah, Dept Phys, Salt Lake City, UT 84112 USA.
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Wu, YS,Yu, Y,Yang, HX,et al. Characterization of one-dimensional Luttinger liquids in terms of fractional exclusion statistics[J]. NUCLEAR PHYSICS B,2001,604(3):551-579.
APA Wu, YS,Yu, Y,Yang, HX,&Yu, Y , Univ Utah, Dept Phys, Salt Lake City, UT 84112 USA..(2001).Characterization of one-dimensional Luttinger liquids in terms of fractional exclusion statistics.NUCLEAR PHYSICS B,604(3),551-579.
MLA Wu, YS,et al."Characterization of one-dimensional Luttinger liquids in terms of fractional exclusion statistics".NUCLEAR PHYSICS B 604.3(2001):551-579.
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