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arXiv:1010.5297 · Physical Review B

Phase transitions and thermodynamics of the two-dimensional Ising model on a distorted kagome lattice

Wei Li, Shou-Shu Gong, Yang Zhao, Shi-Ju Ran, Song Wei Gao, Gang Su

Published Oct 21, 2010• 23 citations
arXivHTMLPDF

Abstract

The two-dimensional Ising model on a distorted kagome lattice is studied by means of exact solutions and the tensor renormalization-group (TRG) method. The zero-field phase diagrams are obtained, where three phases such as ferromagnetic, ferrimagnetic, and paramagnetic phases, along with the second-order phase transitions, have been identified. The TRG results are quite accurate and reliable in comparison to the exact solutions. In a magnetic field, the magnetization $(m)$, susceptibility, and specific heat are studied by the TRG algorithm, where the $m=1/3$ plateaux are observed in the magnetization curves for some couplings. The experimental data of susceptibility for the complex $\text{Co}{({\text{N}}_{3})}_{2}(\text{bpg})\ensuremath{\cdot}{\text{DMF}}_{4/3}$ are fitted with the TRG results, giving the couplings of the complex $J=22\text{ }\text{K}$ and ${J}^{\ensuremath{'}}=33\text{ }\text{K}$.

DOI
10.1103/physrevb.82.134434

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