Alonso, J. L.Carmona, J. M.Clemente Gallardo, J.Fernández Pérez, Luis AntonioÍñiguez, D.Tarancón, A.Ullod, C. L.2023-06-202023-06-201996-05-230370-269310.1016/0370-2693(96)00090-1https://hdl.handle.net/20.500.14352/60100© 1996 Elsevier Science B.V. We wish to thank Juan J. Ruiz-Lorenzo for useful discussions, as well as the RTN group for the use of the RTN machine, where part of this work has been done. Partially supported by CICyT AEN93-0604-C03, AEN94-0218, AEN93-0776. D.I., J.C.G. and J.M.C. are MEC Fellows and C.L.U. DGA Fellow.We study the phase diagram of the four dimensional king model with first and second neighbour couplings, especially in the antiferromagnetic region, by using Mean Field and Monte Carlo methods. From the latter, all the transition lines seem to be first order except that between ferromagnetic and disordered phases in a region including the first-neighbour Ising transition point.engjournal articlehttp://doi.org/10.1016/0370-2693(96)00090-1http://www.sciencedirect.comopen access5351-73Stacked-triangular antiferromagnetsMonte-CarloTransitionsLattice.Física (Física)Física-Modelos matemáticos22 Física