Spin Wave Theory of the Spin 1/2 XY Model

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概要

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• The spin wave theory of Kondo and Yamaji is applied'to the spin 1 /2 XYmodel in one to tlu'ee dimensions. In one dimension, the value of the gap Awhich appears in the spectrum of ,v-component spin remains finite up to 0 K,and no phase transition occurs. The value of the nearest neighbour correlationfunction is in good agreement with the exact values. In three dimensions, Jvanishes at a finite temperature, and the second order phase transition occurs.In two dimensions, as 7'-+0, A becomes very small for square lattice and tendsto zero as exp ( -T./T) for triangular lattice, which means the non-existence ofthe phase transition. The susceptibility, however, becomes anomalously largefor low temperatures, and the extrapolation of Curie-Weiss law gives a "fictitious"transition temperature whose value agrees with those given by the high tempera-ture expansion and the real space renormalization group theory.

• 社団法人日本物理学会の論文
• 1979-10-15

著者

• Takano Fumihiko

  Institute Of Physics Tokyo University Of Education

• Takano Fumihiko

  Institute Of Physics University Of Tsukuba

• Uchinami Mamoru

  Institute Of Physics College Of General Education University Of Tokyo

• Uchinami Mamoru

  Institute Of Physics University Of Tsukuba

• TAKADA Satoshi

  Institute of Physics,University of Tsukuba

• Takano Fumihiko

  Institute Of Physics The University Of Tsukuba

• Takada Satoshi

  Institute Of Physics University Of Tsukuba

• Takada Satoshi

  Institute For Solid States Physics University Of Tokyo : Department Of Physics College Of General Education University Of Tokyo

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