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Frustrations and orderings in Ising chain with multiple interactions

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.

preprint2022arXivOpen access
A. V. ZarubinF. A. Kassan-OglyA. I. Proshkin
cond-mat.stat-mech
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A. V. ZarubinF. A. Kassan-OglyA. I. Proshkin

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