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

Abstract

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 Fáth and Sólyom. In the massless phase, we calculate logarithmic finite-size corrections of the energy for the SU(ν)-symmetric and asymmetric models.

19 pages, RevTex

References in corpus (6)

• Susceptibility of the Spin 1/2 Heisenberg Antiferromagnetic Chain
• Numerical Evidence for Multiplicative Logarithmic Corrections from Marginal Operators
• Physical Meaning of the Affleck-Kennedy-Lieb-Tasaki S=1 Quantum spin chain
• Numerical renormalization group study of the correlation functions of the antiferromagnetic spin-$\frac{1}{2}$ Heisenberg chain
• Low-Temperature Thermodynamics of $A_2^{(2)}$ and su(3)-invariant Spin Chains
• Integrable su(2)-invariant spin chains and the Haldane conjecture

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