Triplet superconductivity in a one-dimensional ferromagnetic t-J model

In this paper we study the ground-state phase diagram of a one-dimensional t-U-J model, at half-filling. In the large-bandwidth limit and for ferromag netic exchange with easy-plane anisotropy, a phase with gapless charge and massive spin excitations, characterized by the coexistence of triplet super conducting and spin density wave instabilities is realized in the ground st ate. With reduction of the bandwidth, a transition into an insulating phase showing properties of the spin-(1)/(2) XY model takes place. In the case o f weakly anisotropic antiferromagnetic exchange the system shows a long-ran ge dimerized (Peierls) ordering in the ground state. The complete weak-coup ling phase diagram of the model, including effects of the on-site Hubbard i nteraction, is obtained.