Spin and charge orderings in the atomic limit of the U-V-J model

Abstract

In this paper we study a generalization of the 1D Hubbard model in the atomic limit by considering density-density and Ising-type spin-spin nearest neighbor (NN) interactions, parameterized by V and J, respectively. We present the T = 0 phase diagram for both ferro (J > 0) and anti-ferro (J < 0) coupling obtained in the narrow-band limit by means of an extension to zero-temperature of the transfer-matrix method. Based on the values of the Hamiltonian parameters, we identify a number of phases that involve orderings of the double occupancy, NN density and spin correlations.