https://doi.org/10.1140/epjb/e2009-00393-x
Hard-core bosonization of the one-dimensional t-J model
1
Department of Physics, Liaoning Normal
University, Dalian, 116029, P.R. China
2
Department
of Physics and Astronomy, Louisiana State University, Baton Rouge, LA, 70803-4001, USA
Corresponding author: a daipan@dlut.edu.cn
Received:
8
July
2009
Revised:
11
September
2009
Published online:
20
November
2009
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.
PACS: 71.27.+a – Strongly correlated electron systems; heavy fermions / 71.10.Fd – Lattice fermion models (Hubbard model, etc.)
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2009
