Hard-core bosonization of the one-dimensional t-J model

F. Pan, Liaoning Normal University
M. X. Xie, Liaoning Normal University
J. J. Lin, Liaoning Normal University
X. G. Xue, Liaoning Normal University
J. P. Draayer, Louisiana State University


The one-dimensional t-J model Hamiltonian is realized by using hard-core boson operators. A simple algorithm written in Mathematica based on a differential realization of the hard-core bosons for finding exact solutions of the model is proposed. As a simple example, some low-lying excitation energies, the inverse compressibility, and the superconducting structure factors, as well as the particle and spin entanglement of a system with 8 sites are calculated. The results not only confirm the validity of the hard-core boson picture, but also indicate that a quantum phase transition near phase-separation at zero temperature can also be recognized by the particle and spin entanglement. © 2009 EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg.