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Critical exponents of a multicomponent anisotropict−J model in one dimension

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Zeitschrift für Physik B Condensed Matter

Abstract

A recently presented anisotropic generalization of the multicomponent supersymmetrict−J model in one dimension is investigated. This model of fermions with general spin-S is solved by Bethe ansatz for the ground state and the low-lying excitations. Due to the anisotropy of the interaction the model possesses 2S massive modes and one single gapless excitation. The physical properties indicate the existence of Cooper-type multiplets of 2S+1 fermions with finite binding energy. The critical behaviour is described by ac=1 conformal field theory with continuously varying exponents depending on the particle density. There are two distinct regimes of the phase diagram with dominating density-density and multiplet-multiplet correlations, respectively. The effective mass of the charge carriers is calculated. In comparison to the limit of isotropic interactions the mass is strongly enhanced in general.

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Author notes

  1. R. Z. Bariev

    Present address: The Kazan Physico-Technical Institute of the Russian Academy of Sciences, 420029, Kazan, Russia

  2. A. Schadschneider

    Present address: Institute for Theoretical Physics, State University of New York at Stony Brook, 11794-3840, Stony Brook, NY, USA

Authors and Affiliations

  1. Institut für Theoretische Physik, Universität zu Köln, Zülpicher Strasse 77, D-50937, Köln, Germany

    R. Z. Bariev, A. Klümper, A. Schadschneider & J. Zittartz

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  1. R. Z. Bariev
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  2. A. Klümper
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  3. A. Schadschneider
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  4. J. Zittartz
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Additional information

Work performed within the research program of the Sonderforschungsbereich 341, Köln-Aachen-Jülich

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Bariev, R.Z., Klümper, A., Schadschneider, A. et al. Critical exponents of a multicomponent anisotropict−J model in one dimension. Z. Physik B - Condensed Matter 96, 395–400 (1995). https://doi.org/10.1007/BF01313062

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  • DOI: https://doi.org/10.1007/BF01313062

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