Variational state based on the Bethe-ansatz solution and a correlated singlet liquid state in the one-dimensional t-J model

Variational study of the one dimensional t-J model: a unified description of the ground state phase diagram

We find that the Gutzwiller projected Fermi sea wavefunction (GPWF) has the correct phase structure to describe the kink nature of the doped holes in the ground state of the one dimensional t-J model. We find the residual charge correlation beyond the GPWF is well described by an XXZ-type effective Hamiltonian. A Pfaffian-type variational wavefunction with only one parameter is proposed based on this observation and is found to reproduce correctly the global phase diagram and correlation functions of the one dimensional t-J model in both the Tomonaga-Luttinger regime and the Luther-Emery regime.