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

Abstract

The two-dimensional Ising model on a distorted Kagomé 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 $J^{\prime }=33K$.

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• Tensor renormalization group approach to 2D classical lattice models
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• Tensor-entanglement renormalization group approach to 2D quantum systems
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• Thermodynamics of spin-1/2 tetrameric Heisenberg antiferromagnetic chain
• Numerical Study of Spin-1/2 XXZ Model on Square Lattice from Tensor Product States

Cited by in corpus (5)

• Linearized Tensor Renormalization Group Algorithm for Thermodynamics of Quantum Lattice Models
• Artificial out-of-plane Ising antiferromagnet on the kagome lattice with very small further neighbour couplings
• Two-dimensional short-range spin-spin correlations in the layered spin-3/2 maple leaf lattice antiferromagnet Na2Mn3O7 with crystal stacking disorder
• Effects of exchange distortions in the magnetic Kagome lattice
• Topology-driven phase transitions in the classical monomer-dimer-loop model