AN APPROXIMATE SOLUTION FOR SQUARE-LATTICE SPIN-1 MODEL

YE QING

doi:10.7498/aps.38.1187

Abstract
In this paper, we apply the decoration and decimation transformation to the square-lattice spin-1 model and show that it is equivalent toa checkerboard Ising model with cross and four-spin interactions. Then, the approximate critical condition is obtained for the model and it reduces to Onsager's exact solution in the Ising-model limit.
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YE QING

1.
上海交通大学应用物理系凝聚态物理研究所
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[10]	FAN HONG-YI, XU ZHI-HUA. A MIXED IMPURITIES MODEL OF THE ONE-DIMENSIONAL LATTICE. Acta Physica Sinica, 1994, 43(2): 253-257. doi: 10.7498/aps.43.253
[11]	WANG FU-GAO, HU JIA-ZHEN. FREE-FERMION APPROXIMATE SOLUSION OF THE ISING MODEL ON UNION JACK LATTICE. Acta Physica Sinica, 1993, 42(5): 853-858. doi: 10.7498/aps.42.853
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[14]	TANG KUN-FA. THE FREE-FERMION APPROXIMATE SOLUTION FOR KAGOME-LATTICE MIXED-SPIN MODEL. Acta Physica Sinica, 1989, 38(7): 1191-1195. doi: 10.7498/aps.38.1191
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[18]	SHI HE, XU YI-CHAO, HAO BAI-LIN. A CLOSED-FORM APPROXIMATION FOR THE 3-DIMENSIONAL ISING MODEL. Acta Physica Sinica, 1978, 27(1): 47-62. doi: 10.7498/aps.27.47
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[20]	TSOU JUI. A METHOD FOR SOLVING ELECTRIC NETWORK. Acta Physica Sinica, 1957, 13(1): 1-15. doi: 10.7498/aps.13.1

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Vol. 38, Issue 7 - 1989-04-05

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AN APPROXIMATE SOLUTION FOR SQUARE-LATTICE SPIN-1 MODEL

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AN APPROXIMATE SOLUTION FOR SQUARE-LATTICE SPIN-1 MODEL

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