Critical behavior of low dimensional magnetic systems

In this study, critical behavior of low dimensional magnetic systems as cyano-bridged Tb(III)-Cr(III) bimetallic assembly was investigated with the mixed spin 3- spin 3/2 Ising model. The mixed spin Ising model is simulated with Cellular Automaton cooling and heating algorithms on one-dimensional lattices in periodic boundary conditions. The Ising model Hamiltonian includes only antiferromagnetic nearest-neighbor interaction (J>0). The mixed spin system behaves like the isolated one-dimensional chain for zero magnetic field (h=H/J=0). In the presence of the magnetic field, the magnetization is calculated using zero-field cooling (ZFC ) and field cooling (FC) processes. The one-dimensional Ising model results are compatible with the cyano-bridged Tb(III)-Cr(III) bimetallic quasi-one dimensional assembly (([Tb(H2O)2(DMF)4 {Cr(CN)}6]· H2O (DMF=dimethylformamide)) results.