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arXiv · 2206.09177

Frustrations and orderings in Ising chain with multiple interactions

A. V. Zarubin·F. A. Kassan-Ogly·A. I. Proshkin
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Abstract

The frustration properties of the Ising model on a one-dimensional monoatomic equidistant lattice are investigated taking into account the exchange interactions of atomic spins at the sites of the first (nearest), second (next-nearest) and third neighbors. The exact solution of the model was obtained using the Kramers--Wannier transfer matrix method. The types of magnetic ordering of the ground state of the model are determined, and a magnetic phase diagram is constructed. Criteria are formulated for the occurrence of magnetic frustrations in the presence of competition between the energies of exchange interactions. Non-zero entropy values in the ground state of the frustrated system were found.

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A. V. Zarubin, F. A. Kassan-Ogly, A. I. Proshkin. 2022-06-18. Frustrations and orderings in Ising chain with multiple interactions. https://doi.org/10.1088/1742-6596%2F1389%2F1%2F012009

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