Bosonization of One-Dimensional Exclusons and Characterization of Luttinger Liquids

Details Bosonization of One-Dimensional Exclusons and Characterization of Luttinger Liquids Bosonization of One-Dimensional Exclusons and Characterization of Luttinger Liquids

1995-05-08

arxiv.org/abs/cond-mat/9505033v1

Physics

Condensed Matter

13 pages, revtex

Scientific paper

10.1103/PhysRevLett.75.890

We achieve a bosonization of one-dimensional ideal gas of exclusion statistics $\lambda$ at low temperatures, resulting in a new variant of $c=1$ conformal field theory with compactified radius $R=\sqrt{1/\lambda}$. 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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