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Journal of Physics Condensed Matter

Magnetization plateaux of the S = 5 / 2 antiferromagnetic chain with anisotropies

Tomoki Houda, Kiyomi Okamoto, Hiroki Nakano, Tôru Sakai

Published Oct 13, 2026• 0 citations
Publisher

Abstract

The magnetization process of theantiferromagnetic chain with coupling and single-ion anisotropies is investigated using numerical diagonalization of finite-size clusters and level spectroscopy analysis. Various magnetization plateaux are found at 1/5, 2/5, 3/5, and 4/5 of the saturation magnetization. plateaux without translational symmetry breaking are predicted to occur at 1/5 and 3/5 magnetization. A symmetry-protected topological plateau phase is found at 3/5 magnetization, but not at 1/5. In addition translational-symmetry-broken plateaux induced by large coupling anisotropy are found at 1/5, 2/5, 3/5, and 4/5 magnetization. Phase diagrams at 1/5, 2/5, 3/5, and 4/5 of the saturation magnetization are obtained. Magnetization curves for several representative anisotropies are also presented, together with the corresponding magnetic phase diagrams.

DOI
10.1088/1361-648x/aeb3e5

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Translational Symmetry Broken Magnetization Plateau of the S=2S = 2S=2 Antiferromagnetic Chain with Anisotropies
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We investigate the S=1S=1S=1 antiferromagnetic quantum spin chain with the exchange and single-ion anisotropies in a magnetic field, using numerical exact diagonalization of finite-size clusters, level spectroscopy analysis, and the density matrix renormalization group (DMRG). We find that a translational symmetry broken magnetization plateau possibly appears at the half of the saturation magnetization, when the anisotropies compete with each other. The level spectroscopy analysis gives the phase diagram at half the saturation magnetization. The DMRG calculation presents the magnetization curves for some typical parameters and clarifies the spin structure in the plateau phase.
We investigate the S=2S=2S=2 antiferromagnetic quantum spin chain with the exchange and single-ion anisotropies in a magnetic field, using the numerical exact diagonalization of finite-size clusters and the level spectroscopy analysis. It is found that a magnetization plateau possibly appears at half of the saturation magnetization for some suitable anisotropy parameters. The level spectroscopy analysis indicates that the 1/2 magnetization plateau is formed by two different mechanisms, depending on the anisotropy parameters. The phase diagram of the 1/2 plateau states and some typical magnetization curves are also presented. In addition, the biquadratic interaction is revealed to enhance the plateau induced by the Haldane mechanism.
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