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Decorated Ising Square Lattice in a Magnetic Field

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Abstract

The Ising model on a decorated square lattice with various parameters of exchange interactions in an external magnetic field is studied. A comparison is made with the numerical results obtained for the Ising model on a simple square lattice. It is shown that, if the magnetization increases with increasing field as in an antiferromagnet, then the initial phase transition point gradually decreases, reaching zero when the first frustration field is reached, and, with a further increase in the field, the phase transition does not occur. If the magnetization increases as in a ferromagnet, the phase transition disappears immediately after switching on the field; i.e., an arbitrarily small magnetic field completely suppresses the phase transition.

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Funding

This work was carried out within a state task from the Ministry of Education and Science of Russia (topic “Quantum”, no. AAAA-A18118020190095-4) and was supported in part by the 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, Yekaterinburg, Russia

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

  2. Ural Federal University Named after the First President of Russia B.N. Yeltsin, 620002, Yekaterinburg, Russia

    A. I. Proshkin

  3. Amirkhanov Institute of Physics, Dagestan Federal Research Center, Russian Academy of Sciences, 367015, Makhachkala, Russia

    A. K. Murtazaev & V. A. Mutailamov

Authors
  1. F. A. Kassan-Ogly
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  2. A. I. Proshkin
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  3. A. K. Murtazaev
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  4. V. A. Mutailamov
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Corresponding author

Correspondence to F. A. Kassan-Ogly.

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The authors declare that they have no conflicts of interest.

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Translated by E. Chernokozhin

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Kassan-Ogly, F.A., Proshkin, A.I., Murtazaev, A.K. et al. Decorated Ising Square Lattice in a Magnetic Field. Phys. Solid State 62, 770–776 (2020). https://doi.org/10.1134/S1063783420050121

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  • DOI: https://doi.org/10.1134/S1063783420050121

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