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Haldane Phase and Large-D Phase of the Spin-1/2 Ferromagnetic-Antiferromagnetic Alternating Heisenberg Chain with On-Site Anisotropy

清美 岡本, Kiyomi Okamoto

Published Jan 1, 1993• 0 citations
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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.

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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.

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Ground-state phase diagram of the spin-1/2 ferromagnetic-antiferromagnetic alternating Heisenberg chain with anisotropy

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The ground state of the ferromagnetic-antiferromagnetic alternating spin-1/2 Heisenberg chain is studied with Ising-type anisotropy on the ferromagnetic bond. This model tends to the spin-1 antiferromagnetic Heisenberg chain with on-site anisotropy in the limit of strong ferromagnetic bond. It is found that the Haldane-gap phase, the large-D phase, and the two types of N\'eel phases appear as the ground state of this model. The duality relations between these four phases are proved for several limiting cases. The string order parameter characterizing the large-D phase is introduced based on these duality relations. The ground-state phase diagram is determined by the numerical diagonalization of the finite-size system.

Physical review. B, Condensed matter•Oct 1, 1992•81 citations
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.
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.
The ground state of the ferromagnetic-antiferromagnetic alternating spin-1/2 Heisenberg chain is studied with Ising-type anisotropy on the ferromagnetic bond. This model tends to the spin-1 antiferromagnetic Heisenberg chain with on-site anisotropy in the limit of strong ferromagnetic bond. It is found that the Haldane-gap phase, the large-D phase, and the two types of N\'eel phases appear as the ground state of this model. The duality relations between these four phases are proved for several limiting cases. The string order parameter characterizing the large-D phase is introduced based on these duality relations. The ground-state phase diagram is determined by the numerical diagonalization of the finite-size system.