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Journal of Physics Conference Series

Magnetization Plateau of the S = 1 2 Distorted Diamond Spin Chain with Ferromagnetic Interaction

Masaru Hashimoto, Koki Doi, Tomoki Houda, Rito Furuchi, Hiroki Nakano, Kiyomi Okamoto, Tôru Sakai

Published Jan 1, 2026• 0 citations
Publisher

Abstract

Abstract The magnetization process of the S = 1/2 distorted diamond spin chain with ferromagnetic interactions is investigated using the numerical diagonalization of finite-size clusters. The level spectroscopy analysis applied for the model with the spin anisotropy indicates that two different magnetization plateau phases appear at 1/3 of the saturation magnetization. The phase diagrams for some typical interaction parameters are presented. In addition the magnetization curves for several typical parameters are obtained.

DOI
10.1088/1742-6596/3161/1/012006

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By use of mainly the exact diagonalization and the level spectroscopy method, we investigate the ground-state phase diagrams of the S = 1/2 distorted diamond type quantum spin chain with the monomer-monomer interactions and/or ferromagnetic interactions for the zero magnetic field case, as well as the M = M s /3 case and the M = (2/3) M s case, where M is the total magnetization and M s is the saturation magnetization. The magnetization plateau at M = M s /3 vanishes in the region where the ferromagnetic interaction is rather strong. The monomer-monomer interaction remarkably stabilizes the magnetization plateau at M = (2/3) M s .
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.