Influence of the lattice geometry on the thermodynamical properties of two-dimensional spin systems

Abstract

Various types of mixed spin two-dimensional Heisenberg networks are investigated by means of Monte Carlo simulations. This study aims at interpreting quantitatively the thermodynamical properties of two-dimensional molecule-based magnets recently synthesized. The proposed model requires that: (i) one of the two magnetic centers has a spin large enough to be treated as a classical spin; (ii) the zero field Hamiltonian is isotropic; (iii) the quantum spins have only classical spins as neighbours. The quantum Hamiltonian is then replaced by a classical one with effective ferromagnetic interactions. The temperature dependence of both the specific heat and magnetic susceptibility are calculated. The effect of the lattice geometry is analysed.