Volume 84, Number 1, October 2008
|Number of page(s)||5|
|Section||Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties|
|Published online||26 September 2008|
Exact solvable model of coupled supersymmetric t-J chains
Institute of Metal Physics - Vernadsky Street 36, 03142 Kiev, Ukraine
Corresponding author: firstname.lastname@example.org
Accepted: 28 August 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.
PACS: 71.10.Fd – Lattice fermion models (Hubbard model, etc.) / 71.10.Pm – Fermions in reduced dimensions (anyons, composite fermions, Luttinger liquid, etc.)
© EPLA, 2008
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