The field-induced laws of thermodynamic properties in the two-dimensional spin-1 ferromagnetic Heisenberg model with the exchange and single-ion anisotropies

Hysteresis behaviors of a spin-1 anisotropic Heisenberg model

“…Most recent studies related to the thermodynamic properties and phase transition characteristics are, S-1 Heisenberg antiferromagnet with easy-plane singleion anisotropy on three-dimensional bipartite lattices with sixth-order series expansions [33], three-dimensional anisotropic Heisenberg XXZ model with a crystal field by using the variational approach based on the Bogoliubov inequality [34] and quantum S-1 anisotropic ferromagnetic Heisenberg model within the same method [35]. The field-induced laws of thermodynamic properties are obtained by Green's function method for the two-dimensional S-1 ferromagnetic Heisenberg model with the exchange and single-ion anisotropies [36]. Some exact solutions were aslo reported such as S-1 Ising-Heisenberg diamond chain in a magnetic field by a rigorous treatment based on the transfer-matrix method [37].…”