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arXiv:cond-mat/9512078

Chiral Tomonaga-Luttinger Liquids and the Calogero-Sutherland Model with Boundaries

Yamamoto, Takashi, Norio Kawakami, Sung-Kil Yang

Published Dec 11, 1995• 0 citations
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Abstract

Applying boundary conformal field theory we study the low-energy critical behavior of the Calogero-Sutherland model of $BC_N$-type. The universality class of the model is found to be a {\it chiral} Tomonaga-Luttinger liquid. Various correlation exponents depending on the interaction strength are obtained.

DOI
10.48550/arxiv.cond-mat/9512078

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Critical properties of the Calogero - Sutherland model of -type ( -CS model) are studied. Using the asymptotic Bethe ansatz spectrum of the -CS model, we calculate finite-size corrections in the energy spectrum. Since the -CS model does not possess translational invariance, the finite-size spectrum acquires the contributions coming from `boundaries'. We show that the low-energy critical behaviour of the model is described by c = 1 boundary conformal field theory. Thus the universality class of the model is identified as a chiral Tomonaga - Luttinger liquid.
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