Multicritical behaviour of the antiferromagnetic spin- Blume-Capel model

The multicritical behaviour of the spin- Ising model on the square lattice with nearest-neighbour antiferromagnetic exchange interaction (J<0), a crystal-field interaction (D) and an external magnetic field (H) is studied within mean field approximation (M.F.A.). The phase diagram exhibits a rich variety of behaviour: second order, first order and critical points of different order.