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Title: Study of Quantum Spin Systems using Real Space Renormalization Transformations
Authors: Takano, Hiroshi
Author's alias: 高野, 宏
Issue Date: 20-Aug-1979
Publisher: 物性研究刊行会
Journal title: 物性研究
Volume: 32
Issue: 5
Start page: 407
End page: 464
Abstract: The spin 1/2 anisotropic Heisenberg model is studied by means of the real space renormalization transformations. Thermodynamic properties of one-dimensional systems are calculated by using an approximate decimation method. These results agree well with those obtained by Bonner and Fisher and by Katsura. Two- and three-dimensional systems are studied by generalizing the Migdal-Kadanoff renormalization transformations to quantum spin systems. For the Ising and Heisenberg models in two and three dimensions and for the X-Y model in three dimensions, the critical properties thus obtained are in qualitative agreement with those obtained from high temperature series expansions. For the two-dimensional X-Y model, our results suggest that this model undergoes some kind of phase transition and that the critical behaviour of this model is similar to that expected for the classical X-Y and planar models.
Description: この論文は国立情報学研究所の電子図書館事業により電子化されました。
修士論文
URI: http://hdl.handle.net/2433/89854
Appears in Collections:Vol.32 No.5

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