An extended massless phase and the Haldane phase in a spin-1 isotropic antiferromagnetic chain

Details An extended massless phase and the Haldane phase in a spin-1 isotropic antiferromagnetic chain An extended massless phase and the Haldane phase in a spin-1 isotropic antiferromagnetic chain

1996-05-17

arxiv.org/abs/cond-mat/9605105v2

Physics

Condensed Matter

Statistical Mechanics

19 pages, RevTex

Scientific paper

10.1103/PhysRevB.55.8295

We study the phase transition of isotropic spin-1 models in the vicinity of the Uimin-Lai-Sutherland model by using the SU(3)_1 WZW model with certain marginal perturbations. The unstable RG trajectory by a marginally relevant perturbation generates a mass gap for the Haldane phase, and thus the universality class of the transition from the massless phase to the Haldane phase at ULS point becomes the BKT type. Our results support recent numerical studies by F\'ath and S\'olyom. In the massless phase, we calculate logarithmic finite-size corrections of the energy for the SU(\nu)-symmetric and asymmetric models.

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