A Path-Integral Approach to the X-Y Model in One- and Two-Dimenstions : Dynamics and Quantum Effects at Low Temperatures
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概要
- 論文の詳細を見る
The X-Y model in one- and two-dimensions is investigated by means of the path integral. The low temperature properties are shown to be described by the phase mode. In particular, the quantum model in the limit S→∞ is found to be well expressed by the planer model. The spin-correlation functions are calculated explicitly. As a result it is found that at zero temperature the quasi long-range order in one-dimension and the long-range order in two-dimensions appear. The spontaneous magnetization is explicitly given at zero temperature in two-dimensions. At finite temperatures the dynamical behaviour is the same as that studied by Nelson and Fisher. The divergence of the susceptibility at T=0 in one-dimension is shown to be different from that of the classical model.
- 一般社団法人日本物理学会の論文
- 1980-04-25
著者
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Takada Satoshi
Institute For Solid States Physics University Of Tokyo : Department Of Physics College Of General Education University Of Tokyo
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TAKADA Satoshi
Department of Physics, Tokyo University of Education, Tokyo
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