Abstract
We present results of exact diagonalization of the isotropic antiferromagnetic S=1 Heisenberg chain by the Lanczos method, for finite rings of up to N=22 sites. The Haldane gap G(N) and the ground-state energy per site e(N) converge, with increasing N, faster than a power law. By VBS and Shanks transformations, the extrapolated values are G(∞)=0.41049(2) and e(∞)=-1.401485(2). The spin-spin correlation function is well fit by exp(-r/ξ)/ √r with ξ=6.2.
- Received 21 January 1994
DOI:https://doi.org/10.1103/PhysRevB.50.3037
©1994 American Physical Society
