Exact solvable model of coupled supersymmetric t-J chainsI. N. Karnaukhov
Institute of Metal Physics - Vernadsky Street 36, 03142 Kiev, Ukraine
received 1 June 2008; accepted in final form 28 August 2008; published October 2008
published online 26 September 2008
An exact solvable model of the coupled supersymmetric t-J chains interacting via the spin exchange interaction is proposed and solved by the means of the nested Bethe ansatz. It is shown, that in addition to the direct spin-exchange interaction an effective interaction between fermions of different chains called as “an effective attractive hard-core interaction” is realized in the model. The critical exponents describing asymptotic behavior of the correlation functions are calculated using the Bethe ansatz equations and the finite-state scaling analysis in conformal field theory. It is shown that the two-component Tomonaga-Luttinger liquid with the dominating correlations of fermion pairs is realized in the low-density region. This non-traditional behavior of the correlation functions is realized due to the effective attractive hard-core interaction between particles.
71.10.Fd - Lattice fermion models (Hubbard model, etc.).
71.10.Pm - Fermions in reduced dimensions (anyons, composite fermions, Luttinger liquid, etc.).
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