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Bosonization of one-dimensional exclusons and characterization of Luttinger liquids

By Yong-shi Wu and Yue Yu


We achieve a bosonization of one-dimensional ideal gas of exclusion statistics λ at low temperatures, resulting in a new variant of c = 1 conformal field theory with compactified radius R = √ 1/λ. These ideal excluson gases exactly reproduce the low-T critical properties of Luttinger liquids, so they can be used to characterize the fixed points of the latter. Generalized ideal gases with mutual statistics and non-ideal gases with Luttinger-type interactions have also similar behavior, controlled by an effective statistics varying in a fixed-point line. PACS numbers: 71.27.+a,05.30.-d,67.40.Db,11.10.Kk Typeset using REVTEX 1 Recently a new combinatoric rule for many-body state counting [1,2], which essentially is an abstraction and generalization of Yang-Yang’s counting [3,4] in Bethe ansatz solvable models, is shown to be applicable to elementary excitations in a number of exactly solvable models for strongly correlated systems [1,2,4-7] in one, two and higher dimensions. Thi

Year: 1995
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