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Critical properties of the transition between the Haldane phase and the large-D phase of the spin-1/2 ferromagnetic-antiferromagnetic Heisenberg chain with on-site anisotropy

清美 岡本, Kiyomi Okamoto

Published Jan 1, 1996• 0 citations
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Critical properties of the transition between the Haldane phase and the large-Dphase of the spin- ferromagnetic - antiferromagnetic Heisenberg chain with on-site anisotropy

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We analytically study the ground-state quantum phase transition between the Haldane phase and the large-D (LD) phase of the ferromagnetic - antiferromagnetic alternating Heisenberg chain with on-site anisotropy. We transform this model into a generalized version of the alternating antiferromagnetic Heisenberg model with anisotropy. In the transformed model, the competition between the transverse and longitudinal bond alternations yields the Haldane - LD transition. Using the bosonization method, we show that the critical exponents vary continuously on the Haldane - LD boundary. Our scaling relations between critical exponents explains very well the numerical results of Hida.
We analytically study the boundary between the Haldane phase and the large- D (LD) phase of a ferromagnetic-antiferromagnetic alternating Heisenberg chain with on-site easy-plane anisotropy. We transform this model into a generalized alternating antiferromagnetic Heisenberg model with anisotropy. In the transformed model, the competition between the transverse and longitudinal alternations results in the Haldane-LD transition. Our Haldane-LD boundary calculated through the bosonization method agrees very well with that of Hida [Phys. Rev. B 46 (1992) 8268], determined by the numerical method.