Characterization of one-dimensional Luttinger liquids in terms of fractional exclusion statistics

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	Characterization of one-dimensional Luttinger liquids in terms of fractional exclusion statistics
	Yang, HX; Wu, YS; Yu, Y; Yu, Y , Univ Utah, Dept Phys, Salt Lake City, UT 84112 USA.
刊名	NUCLEAR PHYSICS B
	2001
卷号	604 期号:3 页码:551-579
关键词	Calogero-sutherland Model Quantum Fluids Field-theory Gas Particles State
ISSN号	0550-3213
英文摘要	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.
学科主题	Physics
URL标识	查看原文
WOS记录号	WOS:000169590900005
公开日期	2012-08-29
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/12721]
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 , Univ Utah, Dept Phys, Salt Lake City, UT 84112 USA.
推荐引用方式 GB/T 7714	Yang, HX,Wu, YS,Yu, Y,et al. Characterization of one-dimensional Luttinger liquids in terms of fractional exclusion statistics[J]. NUCLEAR PHYSICS B,2001,604(3):551-579.
APA	Yang, HX,Wu, YS,Yu, Y,&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	Yang, HX,et al."Characterization of one-dimensional Luttinger liquids in terms of fractional exclusion statistics".NUCLEAR PHYSICS B 604.3(2001):551-579.