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Physica B Condensed Matter

Magnetization curves in the ground state of spin- antiferromagnetic XXZ chains with competing interactions

Takashi Tonegawa, Isao Harada

Published Mar 1, 1989• 12 citations
Publisher
DOI
10.1016/0921-4526(89)90534-6

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Abstract We study the delta-chain with spin-1 on basal sites and spin- 1 2 on apical sites. The Heisenberg interaction between neighbor basal spins is antiferromagnetic (AF) and the interaction between basal and apical spins is ferromagnetic (F). We show that the magnetization curve of this model is the same as that of the spin- 1 2 kagome-like chain with competing Heisenberg interactions. The ground state phase diagram of the latter as a function of the ratio between the AF and F interaction, α, consists of the ferromagnetic, ferrimagnetic and singlet phases. We study the magnetic properties in each ground state phase and analyze the magnetization curves. We show that there are magnetization plateaus and jumps in definite regions of value α. We compare the magnetic properties of considered models with those of the spin- 1 2 delta chain.
The ground state of the spin-1/2 Ising–Heisenberg distorted diamond chain in the presence of an external magnetic field is investigated in the case of the ferromagnetic Ising and antiferromagnetic XXZ Heisenberg interactions, that exhibits a geometric frustration of spins. The influence of the quantum fluctuations, the magnetic field, and the distortion on the ground state are studied in detail. It is established that the zero-temperature magnetization curve may show intermediate plateaus at zero and one-third of the saturation magnetization.
Ground state of the mixed spin-(1,1/2) Ising-Heisenberg distorted diamond chain in the presence of the external magnetic field is rigorously studied in the frustrated case of ferromagnetic Ising and antiferromagnetic XXZ Heisenberg interactions.The influence of quantum fluctuations, magnetic field, and the distortion of diamond cells on the ground state are examined in detail.It is established that the zero-temperature magnetization curve may show intermediate plateaus at zero and one-half of the saturation magnetization.