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The magnetic properties of three-dimensional spin-1 easy-axis single-ion anisotropic antiferromagnets
Authors:Ai-Yuan Hu  Qin Wang
Affiliation:1. School of Materials Science and Engineering, Changzhou University, Changzhou 213164, China;2. School of Materials Science and Engineering, Southwest Jiaotong University, Chengdu 611756, China;1. Institute of Functional Polymer Composites, College of Chemistry and Chemical Engineering, Henan University, Kaifeng, 475004, China;2. National & Local Joint Engineering Research Center for Applied Technology of Hybrid Nanomaterials, Henan University, Kaifeng, 475004, China;3. Innovative Center for Advanced Materials, Hangzhou Dianzi University, Hangzhou, 310012, China;1. Department of Architecture and Urban Studies, Politecnico di Milano, Piazza Leonardo da Vinci, 26, 20133 Milano, Italy;2. School of Human Settlements and Civil Engineering, Xi''an Jiaotong University, No.99 Yanxiang Road, Xi''an, Shaanxi Province, China
Abstract:
The ordered and disordered phases of spin-1 Heisenberg and Ising antiferromagnets with easy-axis single-ion anisotropy on a three-dimensional lattice are studied. By using of the double-time Green’s function method within the Tyablikov decoupling for the exchange anisotropy and Callen’s approximation for the single-ion anisotropy, the Néel temperature, magnetization and susceptibility are investigated. Their relations with the temperature and anisotropic parameter are analyzed over the entire range of temperature. It is found that our results agree well with spin wave theory results at low temperature, agree with the high temperature series results at high temperature, and compare reasonably well with the linked-cluster series approach and ratio method results at intermediate temperature.
Keywords:
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