FINITE-LATTICE EXTRAPOLATIONS FOR A HALDANE-GAP ANTIFERROMAGNET

Authors
GOLINELLI O JOLICOEUR T LACAZE R
Citation
O. Golinelli et al., FINITE-LATTICE EXTRAPOLATIONS FOR A HALDANE-GAP ANTIFERROMAGNET, Physical review. B, Condensed matter, 50(5), 1994, pp. 3037-3044
Citations number
44
Categorie Soggetti
Physics, Condensed Matter
Journal title
Physical review. B, Condensed matter → ACNP
ISSN journal
01631829
Volume
50
Issue
5
Year of publication
1994
Pages
3037 - 3044
Database
ISI
SICI code
0163-1829(1994)50:5<3037:FEFAHA>2.0.ZU;2-9
Abstract
We present results of exact diagonalizations of the isotropic antiferr omagnetic S = 1 Heisenberg chain by the Lanczos method, for finite rin gs of up to N = 22 sites. The Haldane gap G(N) and the ground-state en ergy per site e(N) converge, with increasing N, faster than a power la w. By Vanden Broeck-Schwartz and Shanks transformations, the extrapola ted values are G(infinity) = 0.41049(2) and e(infinity) = -1.401485(2) . The spin-spin correlation function is well fit by exp(-r/xi)/square- root r with xi = 6.2.