Frustration and Phase Transitions in Ising Model on Decorated Square Lattice
- Authors: Proshkin A.I.1,2, Kassan-Ogly F.A.1
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Affiliations:
- Mikheev Institute of Metal Physics, Ural Branch, Russian Academy of Sciences
- Ural Federal University Named after the first President of Russia B.N. Yeltsin
- Issue: Vol 120, No 13 (2019)
- Pages: 1366-1372
- Section: Article
- URL: https://journals.rcsi.science/0031-918X/article/view/169027
- DOI: https://doi.org/10.1134/S0031918X19130234
- ID: 169027
Cite item
Abstract
The Ising model on a square lattice with arbitrary number of decorating spins, considering both the interactions between nodal and decorating spins is examined. A plethora of peculiarities such as heat capacity splitting, generation and suppression of multiple phase transitions and several kinds of partial ordering are thoroughly scrutinized. A rigorous analytical expression for the partition function closely resembling the one obtained by Onsager is presented.
Keywords
About the authors
A. I. Proshkin
Mikheev Institute of Metal Physics, Ural Branch, Russian Academy of Sciences; Ural Federal University Named after the first President of Russia B.N. Yeltsin
Author for correspondence.
Email: proshkin_ai@imp.uran.ru
Russian Federation, Ekaterinburg, 620108; Ekaterinburg, 620002
F. A. Kassan-Ogly
Mikheev Institute of Metal Physics, Ural Branch, Russian Academy of Sciences
Email: proshkin_ai@imp.uran.ru
Russian Federation, Ekaterinburg, 620108