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Frustrations on Decorated Planar Lattices in Ising Model

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Abstract

We study the frustration properties of the Ising model on several decorated lattices with arbitrary numbers of decorating spins on all bonds of the lattice within an exact analytical approach based on the Kramers–Wannier transfer-matrix technique. The existence of magnetic frustrations in such situations and their influence on the behavior of the thermodynamic functions of systems is shown. The most important result of our study is related to the description of the possible coexistence of frustrations and long-range magnetic order in partially ordered spin systems.

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Acknowledgements

The research was carried out within the state assignment of Ministry of Science and Higher Education of the Russian Federation (theme “Quantum” No. 122021000038-7).

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  1. M. N. Mikheev Institute of Metal Physics of Ural Branch of Russian Academy of Sciences, Ekaterinburg, 620108, Russia

    F. A. Kassan-Ogly & A. V. Zarubin

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Kassan-Ogly, F.A., Zarubin, A.V. Frustrations on Decorated Planar Lattices in Ising Model. J Supercond Nov Magn 35, 1647–1656 (2022). https://doi.org/10.1007/s10948-022-06269-7

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