Phase transitions and thermodynamics of the two-dimensional Ising model on a distorted Kagom\'{e} lattice

Understand

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.