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Journal of Low Temperature Physics

Quantum Critical Magnetization Behaviors of the Kagome- and Triangular-Lattice Antiferromagnets

Tôru Sakai, Hiroki Nakano

Published Sep 27, 2012• 0 citations
Publisher
DOI
10.1007/s10909-012-0735-z

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The magnetization process of the S=1/2 Kagome-lattice quantum antiferromagnet is investigated using the numerical exact diagonalization up to 39-site clusters, comparing with the triangular-lattice antiferromagnet. Our previous finite-size scaling analysis with the rhombic clusters indicated the “magnetization ramp” as a novel field-induced quantum phase transition at 1/3 of the saturation magnetization. As another possible exotic behavior, we focus on the feature of the magnetization curve at the 2/3 of the saturation. The same critical exponent analysis indicates that a different singular behavior occurs at the 2/3 magnetization of the Kagome-lattice antiferromagnet, while no anomaly in the triangular-lattice one.
We investigate S=1/2S=1/2S=1/2 quantum spin antiferromagnets on the triangular and Kagome lattices in a magnetic field, using the numerical exact diagonalization. We focus particularly on an anomalous magnetization behavior of each system at one-third the saturation magnetization. Critical exponent analyses suggest that it is a conventional magnetization plateau on the triangular lattice, while an unconventional phenomenon, called the magnetization ramp, occurs on the Kagome lattice.
Using the numerical exact diagonalization of finite-size clusters up to 39 spins, we investigate the magnetization process of the Kagome lattice antiferromagnet, as well as the triangular lattice antiferromagnet. A finite-size scaling analysis at 1/3 of the saturation magnetization indicates that an unconventional quantum phase transition, so called a magnetization ramp, occurs for the Kagome lattice antiferromagnet. In contrast, the triangular lattice antiferromagnet is revealed to exhibit a conventional 1/3 magnetization plateau. These conclusions are based on the estimated critical exponet δ defined as | m – m c | ∼ | H – H c | 1/ δ . The exponents at the lower and higher field sides of m = 1/3 δ − and δ + are estimated as δ − = 1.9 ± 1.0 and δ + = 0.5 ± 0.2 for the Kagome kattice, while δ − = 1.0 ± 0.2 and δ + = 0.8 ± 0.2 for the triangular lattice.