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Bosonization of One-Dimensional Exclusons and Characterization of Luttinger Liquids

Yong-Shi Wu·Yue Yu
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Abstract

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 $R=\sqrt{1/λ}$. 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.

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Yong-Shi Wu, Yue Yu. 1995-05-08. Bosonization of One-Dimensional Exclusons and Characterization of Luttinger Liquids. https://doi.org/10.1103/physrevlett.75.890

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