Frustration and Phase Transitions in Ising Model on Decorated Square Lattice


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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.

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


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