Issue
EPL
Volume 84, Number 1, October 2008
Article Number 17007
Number of page(s) 5
Section Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties
DOI http://dx.doi.org/10.1209/0295-5075/84/17007
Published online 26 September 2008
EPL, 84 (2008) 17007
DOI: 10.1209/0295-5075/84/17007

Exact solvable model of coupled supersymmetric t-J chains

I. N. Karnaukhov

Institute of Metal Physics - Vernadsky Street 36, 03142 Kiev, Ukraine

karnaui@yahoo.com

received 1 June 2008; accepted in final form 28 August 2008; published October 2008
published online 26 September 2008

Abstract
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