| Author Name | Affiliation | | Bin Cao | Key Lab.for New Type of Functional Materials in Hebei Prooince,Tianjin 300130,China
School of Material Science and Engineering,Hebei University of Technology,Tianjin 300130,China | | Wei Yang | Key Lab.for New Type of Functional Materials in Hebei Prooince,Tianjin 300130,China
School of Material Science and Engineering,Hebei University of Technology,Tianjin 300130,China | | Chunxiang Cui | Key Lab.for New Type of Functional Materials in Hebei Prooince,Tianjin 300130,China
School of Material Science and Engineering,Hebei University of Technology,Tianjin 300130,China |
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| Abstract: |
| In order to calculate 3-dimensional Ising model, we develop a method to build a much smaller transfer matrix containing the largest eigenvalue from the original 2N1N2×2N1N2 matrix V[WT]1. Firstly, the transfer matrix V[WT]1 is written as the linear combination of several basic vectors. Secondly, we divide the basic vectors into several subgroups. The multiplication of a basic vector and V[WT]1 can be written as the linear combination of basic vectors from the same subgroup. Finally, we use a new transfer matrix V[WT]2 to describe the relationship between basic vectors of the same subgroup. V[WT]2 is much smaller than the original transfer matrix and contains the largest eigenvalue of V[WT]1. We use this method to calculate the specific heat per atom Cpa and the magnetic momentum per atom Mpa. The results show that there exists a pair of temperature and magnetic field intensity where the specific heat gets to its maximum value. When N1N2 increases, the maximum value of specific heat becomes larger. |
| Key words: Ising model magnetic ordering Specific heat Statistical mechanics |
| DOI：10.11916/j.issn.1005-9113.2016.04.009 |
| Clc Number:O414.2 |
| Fund: |
