Critical Phenomena of the S=1/2 Heisenberg-Ising Model Studied by CVM and CAM
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概要
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The critical temperatures T_c and the mean-field critical coefficients of the susceptibility χ^^- are calculated for the S=1/2 Heisenberg-Ising model on the simple cubic lattice by the Kikuchi approximation and its simplified versions. χ^^- shows a coherent anomaly. It means that the coherent-anomaly method (CAM) is applicable to evaluate the true critical temperature T_c^* and the non-classical critical exponent γ for the susceptibility. As a result, the dependence of T_c^* on an anisotropy parameter η is given. It is shown that the behavior of γ versus η approaches a flat line step by step as the corrections up to the higher order approximation are taken into account for 0≦η<1. It implies that the anisotropy parameter η of the Heisenberg-Ising model is irrelevant for critical exponents, if η is less than 1, as expected by the renormalization-group argument.
- 理論物理学刊行会の論文
- 1994-05-31
著者
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KIMURA MINORU
Department of DNA Biology, Tokai University School of Medicine
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KIMURA Masaaki
RI-Beam Science Laboratory, RIKEN (The Institute of Physical and Chemical Research)
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Kimura Minoru
Department Of Dna Biology School Of Medicine Tokai University
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TANAKA Giichi
Department of Physics, Kanazawa University
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Tanaka Giichi
Department Of Physics Kanazawa University
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Kimura Masaaki
Department Of Physics Kyoto University
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Kimura Masahiro
Faculty Of Industrial Science And Technology Science University Of Tokyo
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KIMURA Masaaki
Department of Physics, Kyoto University
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KIMURA Masaomi
institute for Cosmic Ray Research, University of Tokyo
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KIMURA Masahiro
Department of Physics, Osaka University
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