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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

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[1]	Qing Yu-Lin, Peng Xiao-Li, Wen Lin, Hu Ai-Yuan.Ground state phase transition of spin-1/2 frustration model on stacked square lattice. Acta Physica Sinica, 2022, 71(3): 037501.doi:10.7498/aps.71.20211584
[2]	Qing Yu-Lin, Peng Xiao-Li, Hu Ai-Yuan.Phase transition of spin-1 frustrated model on square-lattice bilayer. Acta Physica Sinica, 2022, 71(4): 047501.doi:10.7498/aps.71.20211685
[3]	.The ground state phase transition of the spin-1/2 frustration model on a stacked square lattice. Acta Physica Sinica, 2021, (): .doi:10.7498/aps.70.20211584
[4]	Zhang Shan-Qing.The exact solutions of a modified Volterra lattice. Acta Physica Sinica, 2007, 56(4): 1870-1874.doi:10.7498/aps.56.1870
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[9]	WANG BING-HONG, KWONG YVONNE-ROAMY, HUI PAK-MING.STATISTICAL MECHANICAL APPROACH TO CELLULAR AUTOMATON MODELS OF HIGHWAY TRAFFIC FLOW. Acta Physica Sinica, 1998, 47(6): 906-915.doi:10.7498/aps.47.906
[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
[12]	WANG FU-GAO, HU JIA-ZHEN.CRITICAL TEMPERATURE CURVES FOR THE GENERALIZED MIXED SPIN MODEL. Acta Physica Sinica, 1993, 42(7): 1179-1187.doi:10.7498/aps.42.1179-2
[13]	LIN NIAN, YU ZU-RONG.A NEW METHOD TO SOLVE THE S = l/2 HEISENBERG SPIN CHAIN. Acta Physica Sinica, 1993, 42(12): 1990-1997.doi:10.7498/aps.42.1990
[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
[15]	TANG KUN-FA, HU JIA-ZHEN.A GENERALIZED MIXED SPIN MODEL: A RENORMALISATION GROUP APPROACH. Acta Physica Sinica, 1986, 35(8): 1048-1054.doi:10.7498/aps.35.1048
[16]	ZHANG ZHAO-QING.AN ALTERNATIVE DERIVATION OF COHERENT-POTENTIAL APPROXIMATION FOR DISORDERED ALLOYS-TIGHT BINDING MODEL. Acta Physica Sinica, 1982, 31(3): 285-293.doi:10.7498/aps.31.285
[17]	CHENG LU.SCATTERING OF LASER BEAM BY RANDOMLY DIFFUSING SURFACES——A SIMPLIFIED STATISTICAL MODEL. Acta Physica Sinica, 1978, 27(6): 651-663.doi:10.7498/aps.27.651
[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
[19]	DENG ZUNG-HAU.A METHOD FOR OBTAINING APPROXIMATE WAVE FUNCTIONS. Acta Physica Sinica, 1964, 20(12): 1235-1243.doi:10.7498/aps.20.1235
[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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