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Ising Model on Planar Decorated Lattices. Frustrations and Their Influence on Phase Transitions

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Abstract

We discuss in the present work the thermodynamic properties of Ising model on several decorated two-dimensional lattices: square, triangular, honeycomb, and kagome. When compared with undecorated lattices the decorated ones show a plethora of new remarkable properties. Among them, a rich variety of frustration effects, the suppression and restoration or creation of phase transitions, multiple phase transitions, partial orderings, several kinds of heat capacity splitting, etc. Possible arbitrary number of decorating spins in a lattice unit cell conditions the richness of phenomena.

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Funding

The research was carried out within the state assignment of Minobrnauki of Russia (theme Quantum no. AAAA-A18-118020190095-4), supported in part by Ural Branch of the Russian Academy of Sciences (project no. 18-2-2-11).

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Authors and Affiliations

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

    F. A. Kassan-Ogly & A. I. Proshkin

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  1. F. A. Kassan-Ogly
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  2. A. I. Proshkin
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Correspondence to F. A. Kassan-Ogly.

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Kassan-Ogly, F.A., Proshkin, A.I. Ising Model on Planar Decorated Lattices. Frustrations and Their Influence on Phase Transitions. Phys. Metals Metallogr. 120, 1359–1365 (2019). https://doi.org/10.1134/S0031918X19130106

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  • DOI: https://doi.org/10.1134/S0031918X19130106

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