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Magnetic-Field Induced Quantum Phase Transitions in Triangular-Lattice Antiferromagnets

俊雄 小野, Toshio Ono, 秀数 田中, HIDEKAZU TANAKA, 雄高 白田, Yutaka Shirata, 晶 松尾, A. Matsuo, 浩一 金道, Koichi Kindo, 博文 石川, Hirofumi Ishikawa, 裕幸 三田村, Hiroyuki Mitamura, 恒昭 後藤, Tsuneaki Goto, 博生 中野, Hiroki Nakano, H. Nakano, Nathanael A. Fortune, Scott T. Hannahs, 安正 高野, Y. Takano, Y. Takano

Published Jul 1, 2011• 0 citations
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arXiv:cond-mat/0403335•Journal of the Physical Society of Japan•Jul 15, 2004•29 citations
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.
The selection of the ground state among nearly degenerate states due to quantum fluctuations is studied for the S=1/2 XY-like Heisenberg antiferromagnets on the triangular lattice in the magnetic field applied along the hard axis, which was first pointed out by Nikuni and Shiba. We find that the selected ground state sensitively depends on the degree of the anisotropy and the magnitude of the magnetic field. This dependence is similar to that in the corresponding classical model at finite temperatures where various types of field induced phases appear due to the entropy effect. It is also found that the similarity of the selected states in the classical and quantum models are not the case in a two-leg ladder lattice, although the lattice consists of triangles locally and the ground state of this lattice in the classical case is the same as that of the triangular lattice.