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 $J^{\prime }=33K$.

References in corpus (15)

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• Thermodynamics of spin-1/2 tetrameric Heisenberg antiferromagnetic chain
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Cited by in corpus (15)

• Renormalization of tensor networks using graph independent local truncations
• Linearized Tensor Renormalization Group Algorithm for Thermodynamics of Quantum Lattice Models
• Anisotropic Tensor Renormalization Group
• Optimized Decimation of Tensor Networks with Super-orthogonalization for Two-Dimensional Quantum Lattice Models
• Bond-weighted Tensor Renormalization Group
• Artificial out-of-plane Ising antiferromagnet on the kagome lattice with very small further neighbour couplings
• Reentrance of disorder in the anisotropic shuriken Ising model
• Kosterlitz-Thouless phase transition and reentrance in an anisotropic 3-state Potts model on the generalized Kagome lattice
• Two-dimensional short-range spin-spin correlations in the layered spin-3/2 maple leaf lattice antiferromagnet Na2Mn3O7 with crystal stacking disorder
• Phase diagram and exotic spin-spin correlations of anisotropic Ising model on the Sierpiński gasket
• Anomalies in the Multicritical Behavior of Staggered Magnetic and Direct Magnetic Susceptibilities of Iron Group Dihalides
• Correlations in the Ising antiferromagnet on the anisotropic kagome lattice
• Effects of exchange distortions in the magnetic Kagome lattice
• Field-induced spin-structural transition and giant magnetostriction in Ising chain $\alpha$-CoV${}_2$O${}_6$
• Topology-driven phase transitions in the classical monomer-dimer-loop model