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

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

2010-10-26

arxiv.org/abs/1010.5297v1

Phys. Rev. B 82, 134434 (2010)

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1103/PhysRevB.82.134434

The two-dimensional Ising model on a distorted Kagom\'{e} lattice is studied by means of exact solutions and the tensor renormalisation 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 Co(N$_3$)$_2$(bpg)$\cdot$ DMF$_{4/3}$ are fitted with the TRG results, giving the couplings of the complex $J=22K$ and $J'=33K$.

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