11 research outputs found
Triplet superconductivity in a one-dimensional ferromagnetic t-J model
In this paper we study the ground state phase diagram of a one-dimensional
model, at half-filling. In the large-bandwidth limit and for
ferromagnetic exchange with easy-plane anisotropy, a phase with gapless charge
and massive spin excitations, characterized by the coexistence of triplet
superconducting () and spin density wave () instabilities is
realized in the ground state. 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 of weakly anisotropic antiferromagnetic exchange the system
shows a long range dimerized (Peierls) ordering in the ground state. The
complete weak-coupling phase diagram of the model, including effects of the
on-site Hubbard interaction, is obtained
Hole-Hole Contact Interaction in the t-J Model
Using an analytical variational approach we calculate the hole-hole contact
interaction on the N\'{e}el background. Solution of the Bethe-Salpeter equation
with this interaction gives bound states in - and p-waves with binding
energies close to those obtained by numerical methods. At the
bound state disappears. In conclusion we discuss the relation between short
range and long range interactions and analogy with the problem of pion
condensation in nuclear matter.Comment: 11 pp. (LATEX), 7 figures (PostScript) appended, report N