Critical Behavior of the Spin System with Anisotropic Exchange Interaction. II. : Two-Dimensional Lattice
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概要
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The phase transition for the spin systems described by the Hamiltonian ℋ=-2JΣ__<<i,j>>(ξS_<i^x>S_<j^x>+ηS_<i^y>S_<j^y>+S_<i^z>S_<j^z>)-gμHΣ__iS_<i^z> is studied by means of the high-temperature series expansion of the zero field susceptibility. The first five terms in the susceptibility series are explicitly obtained for the two-dimensional square lattice in the cases of (i) 0<__-ξ<__1, η=0 and (ii) 0<__-ξ=η<__-1. The critical temperature T_c and the critical exponent γ (susceptibility) are obtained as functions of the spin S and the anisotropy parameter ξ. The critical temperature has a finite value in the XY model (ξ=1, η=0) as well as the Heisenberg model (ξ=η=1). The simple formulae expressing T_c and γ valid for arbitrary S and ξ are proposed.
- 社団法人日本物理学会の論文
- 1971-10-05
著者
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Oguchi Takehiko
Department Of Physics Tokyo Institute Of Technology
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Ishikawa Takuma
Department Of Materials Science Iwakimeisei University
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Ishikawa Takuma
Department Of Physics Tokyo Institute If Technology
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Oguchi Takehiko
Department Of Physics Tokyo Insitute Of Technology:the Technological University Of Nagaoka
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Ishikawa Takuma
Department of Electrical and Electronic Engineering, College of Engineering, Nihon University, Tamura-machi, Koriyama, Fukushima 963-8642, Japan
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