Finite-size scaling and the isotropic spin-one antiferromagnetic chain

H.W.J. Blöte and H.W. Capel

Physica A: Statistical Mechanics and its Applications, 1986, vol. 139, issue 2, 387-394

Abstract: We have applied finite-size scaling in the neighbourhood of the exactly solved point of the spin-one isotropic, antiferromagnetic chain with bilinear and biquadratic exchange interactions with opposite sign. Finite-size data for the ground-state energies and the gaps were obtained numerically for systems up to a length of 12 spins. Our results indicate that the criticality at the exactly solved point is unstable with respect to two perturbations, i.e. anisotropy, and a change of the ratio between bilinear and biquadratic interactions. This agrees qualitatively with recent results of Affleck; however, our results for the exponents associated with these operators do not agree satisfactorily. Finally, we present the critical line in the plane of these two perturbations.

Date: 1986
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:139:y:1986:i:2:p:387-394

DOI: 10.1016/0378-4371(86)90127-5

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