Phase transitions and thermodynamic properties of antiferromagnetic Ising model with next-nearest-neighbor interactions on the Kagome lattice
Magomed A. Magomedov, Magomedsheikh K. Ramazanov, Akay K. Murtazaev

TL;DR
This paper investigates phase transitions and thermodynamic behaviors in a 2D antiferromagnetic Ising model with next-nearest-neighbor interactions on a Kagome lattice, revealing a second order transition influenced by ferromagnetic interactions.
Contribution
It demonstrates that next-nearest-neighbor ferromagnetic interactions induce a second order phase transition and unusual thermodynamic behavior in the Kagome lattice Ising model.
Findings
Second order phase transition identified via Monte Carlo simulations.
Next-nearest-neighbor ferromagnetic interactions influence transition behavior.
Unusual temperature dependence of thermodynamic properties observed.
Abstract
We study phase transitions and thermodynamic properties in the two-dimensional antiferromagnetic Ising model with next-nearest-neighbor interaction on a Kagome lattice by Monte Carlo simulations. A histogram data analysis shows that a second order transition occurs in the model. From the analysis of obtained data, we can assume that next-nearest-neighbor ferromagnetic interactions in two-dimensional antiferromagnetic Ising model on a Kagome lattice excite the occurrence of a second order transition and unusual behavior of thermodynamic properties on the temperature dependence.
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