{"title":"CAM Analysis of Dimensionality Crossover","authors":"H. Kitatani, T. Kakiuchi, N. Ito, Masuo Suzuki","doi":"10.1142/9789812797087_0025","DOIUrl":null,"url":null,"abstract":"Layered square-lattice ferromagnetic Ising models (∞×∞× n lattices) are studied by the Monte Carlo simulation for n =3 to 7. The results show the dimensionality crossover from the two-dimensional square lattice Ising model to the three-dimensional simple cubic Ising model. Furthermore, the CAM analysis is performed to evaluate the critical exponent γ of the three-dimensional simple cubic ferromagnetic Ising model, which shows that γ =1.21(4). The present analysis is also applicable to the study of the phase transition of quantum spin systems.","PeriodicalId":21586,"journal":{"name":"Science reports of the Research Institutes, Tohoku University. Ser. A, Physics, chemistry and metallurgy","volume":"132 4 1","pages":"283-286"},"PeriodicalIF":0.0000,"publicationDate":"1994-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Science reports of the Research Institutes, Tohoku University. Ser. A, Physics, chemistry and metallurgy","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1142/9789812797087_0025","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
Layered square-lattice ferromagnetic Ising models (∞×∞× n lattices) are studied by the Monte Carlo simulation for n =3 to 7. The results show the dimensionality crossover from the two-dimensional square lattice Ising model to the three-dimensional simple cubic Ising model. Furthermore, the CAM analysis is performed to evaluate the critical exponent γ of the three-dimensional simple cubic ferromagnetic Ising model, which shows that γ =1.21(4). The present analysis is also applicable to the study of the phase transition of quantum spin systems.
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