English

Critical exponents of a multicomponent anisotropic t-J model in one dimension

Condensed Matter 2009-10-22 v1

Abstract

A recently presented anisotropic generalization of the multicomponent supersymmetric tJt-J model in one dimension is investigated. This model of fermions with general spin-SS is solved by Bethe ansatz for the ground state and the low-lying excitations. Due to the anisotropy of the interaction the model possesses 2S2S massive modes and one single gapless excitation. The physical properties indicate the existence of Cooper-type multiplets of 2S+12S+1 fermions with finite binding energy. The critical behaviour is described by a c=1c=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.

Keywords

Cite

@article{arxiv.cond-mat/9409092,
  title  = {Critical exponents of a multicomponent anisotropic t-J model in one dimension},
  author = {R. Z. Bariev and A. Klümper and A. Schadschneider and J. Zittartz},
  journal= {arXiv preprint arXiv:cond-mat/9409092},
  year   = {2009}
}

Comments

10 pages, 3 Postscript figures appended as uuencoded compressed tar-file to appear in Z. Phys. B, preprint Cologne-94-4744