Finite-lattice extrapolations for a Haldane gap antiferromagnet

Preprint

9 February 1994

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9402043

Abstract

We present results of exact diagonalizations 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/xi)/sqrt(r) with xi=6.2.

Keywords

EXACT DIAGONALIZATIONS
LATTICE EXTRAPOLATIONS
GAP ANTIFERROMAGNET
FINITE LATTICE
HALDANE GAP
CONVERGE

All Related Versions

Version 1, 1994-02-09, ArXiv
Published version: Physical Review B, 50 (5), 3037.

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