Journal of Physics C Solid State Physics
A finite-lattice study of the spin-1 Heisenberg model with biquartic exchange
Phillip M. Duxbury, J. Oitmaa
Abstract
The spin-1 Heisenberg model with bilinear and biquadratic exchange is studied by means of exact calculations on finite cells of up to ten sites, in one and two dimensions. The authors investigate the nature of the ground state for different values and signs of the exchange constants and obtain estimates of the ground-state energy. Anomalous ground states are found for some, but not all, of the cases studied. The specific heat is also calculated.