Geometrically frustrated Ising-Heisenberg spin model on expanded Kagome lattice

JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS

卷:473

Article

Rojas, Onofre¹ 

[1] Univ Fed Lavras, Dept Fis, CP 3037, BR-37200000 Lavras, MG, Brazil

关键词: Exactly solvable modes;    Decoration transformation;    Kagome lattice;    2D Ising model;    Ising-Heisenberg model;   

DOI  :  10.1016/j.jmmm.2018.10.110

来源: Elsevier

【 摘 要 】

Here we consider the Ising-Heisenberg model in the expanded Kagome lattice, also known as triangle-dodecagon (3-12) or star lattice. This model can still be understood as a decorated honeycomb lattice. Assuming that the Heisenberg spins are at the vertices of the triangle while other spins are of the Ising type. Thus, this model is equivalent to an effective Kagome Ising lattice, through the decoration transformation technique. Thus this means that the model is exactly solvable so we can study the most relevant properties of this model. Like the phase diagram at zero temperature, exhibiting a frustrated phase, a ferromagnetic phase, a classical ferrimagnetic phase and a quantum ferrimagnetic phase. We observed that Heisenberg spin exchange interaction influences the frustrated phase, but we rigorously verify that the magnitude and origin of the frustration emerge in a similar way to antiferromagnetic Ising Kagome lattice. Likewise, the thermodynamic properties of the model can also be obtained, such as the critical temperature as a dependence of the Hamiltonian parameters and the spontaneous magnetization of the model. Besides, we investigated the entropy of the model, identifying its residual entropy in the frustrated region. Even we analyze the specific heat behavior as a temperature dependence, to deal with the phase transition.

【 授权许可】

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