Excitation Spectrum of One-Dimensional Spin-1 Antiferromagnetic Heisenberg Chain: Green's Function Approach
Abstract
The one-dimensional spin-1 Heisenberg antiferromagnetic chain is studied by a Green's function technique. The excitation spectrum is obtained. The dispersion of excitations for an infinite isotropic chain is numerically calculated. At k = 0 we obtain a gap 2Δ which is equal to 0.826J and at k = π we obtain Δ = 0.41J, which is in very good agreement with the exact numerical results of White and Huse.