Quantum phase diagram of the t-Jz chain model

We present the quantum phase diagram of the one-dimensional t-J(z) model for arbitrary spin (integer or half-integer) and sign of the spin-spin interaction J(z), using an exact mapping to a spinless fermion model that can be solved exactly using the Bethe ansatz. We discuss: its superconducting phase as a function of hole doping nu. Motivated by the new paradigm of high temperature superconductivity, the stripe phase, we also consider the effect the antiferromagnetic background has on the t-J(z) chain intended to mimic the stripe segments.