Critical Behavior of Gaussian Model on X Fractal Lattices in External Magnetic Fields  

Critical Behavior of Gaussian Model on X Fractal Lattices in External Magnetic Fields

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作  者:LIYing KONGXiang-Mu  

机构地区:[1]DepartmentofPhysics,QufuNormalUniversity,Qufu273165,China [2]DepartmentofPhysicsandInstituteofTheoreticalPhysics,BeijingNormalUniversity,Beijing100875,China

出  处:《Communications in Theoretical Physics》2003年第3期337-340,共4页理论物理通讯(英文版)

基  金:山东省自然科学基金

摘  要:Using the renormalization group method, the critical behavior of Gaussian model is studied in external magnetic fields on X fractal lattices embedded in two-dimensional and -dimensional Euclidean spaces, respectively. Critical points and exponents are calculated. It is found that there is long-range order at finite temperature for this model, and that the critical points do not change with the space dimensionality (or the fractal dimensionality ). It is also found that the critical exponents are very different from results of Ising model on the same lattices, and that the exponents on X lattices are different from the exact results on translationally symmetric lattices.

关 键 词:Gaussian model X fractal renormalization group critical phenomena 

分 类 号:O414.13[理学—理论物理]

 

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