| CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES |
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Classical Ground State Spin Ordering of the Antiferromagnetic $J_1$–$J_2$ Model |
| Ren-Gui Zhu** |
College of Physics and Electronic Information, Anhui Normal University, Wuhu 241000
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| Cite this article: |
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Ren-Gui Zhu 2019 Chin. Phys. Lett. 36 067501 |
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Abstract The classical frustrated antiferromagnetic $J_1$–$J_2$ model is considered in a description of the classical spin wave for a vector spin system. Its ground state (GS) spin ordering is analyzed by minimizing its energy. Our analytical derivations show that all the spins in the GS phase must lie in planes that are parallel to each other. When applying the derived formulations to concrete lattices such as the square and simple cubic lattices, we find that in the large $J_2$ region, a large continuous GS degeneracy concluded by a qualitative analysis is lifted, and collinear striped ordering is selected as the GS phase.
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Received: 11 December 2018
Published: 18 May 2019
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| PACS: |
75.10.Jm
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(Quantized spin models, including quantum spin frustration)
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75.30.Et
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(Exchange and superexchange interactions)
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75.10.Hk
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(Classical spin models)
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| Fund: Supported by the National Natural Science Foundation of China under Grant No 11774002. |
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