Long-Range Order in Antiferromagnetic Quantum Spin Systems
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概要
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The existence of long-range order is proved under certain conditions for the antifer-romagnetic XYZ model on the simple cubic or the square lattice. In particular, thespin- 1 /2 XXZ model on the square lattice is shown to have ground-state long-rangeorder if the exchange anisotropy A satisfies 0 31< 0.20 or A >1.72, which improvesthe result of Kubo and Kishi. The existence of long-range order of the (-componentof the spin operator is proved for the XXZ model with X I-like anisotropy (0 @A 3 l )under certain conditions. A similar result is shown to hold for the long-range order inthe ,v-direction for the Ising-like model (A g 1). The XXZ model on the two-dimen-sional hexagonal lattice is proved to have finite ground-state long-range order for anyvalue of A ( s O) if S ? l and for A >2.55 when S = l /2.
- 社団法人日本物理学会の論文
- 1989-01-15
著者
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Ozeki Yukiyasu
Department Of Physics Tokyo Institute Of Technology
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Tomita Yasuhiro
Department Of Physics Tokyo Institute Of Technology
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Nishimori Hidetoshi
Department Of Physics Facuilty Of Science Tokyo Institute Of Technology
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Ozeki Yukiyasu
Department Of Applied Physics And Chemistry The University Of Electro-communications
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Tomita Yasuhiro
Department of Bioscience and Technology, Faculty of Agriculture, Iwate University
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