Ballesteros, H. G.Fernández Pérez, Luis AntonioMartín Mayor, VíctorMuñoz Sudupe, Antonio2023-06-202023-06-201996-02-010163-182910.1103/PhysRevB.53.2537https://hdl.handle.net/20.500.14352/60103© 1996 The American Physical Society. We thank Gabriel Álvarez Galindo, Alan Sokal, and Arjan Van der Sijs for useful discussions. This work was partially supported by CICyT AEN93-0604, AEN94-0218, and AEN93-0776.We study three antiferromagnetic formulations of the O(3) spin model in three dimensions by means of Monte Carlo simulations: (1) a two parameter s model with nearest- and next-nearest neighbors couplings in a cubic lattice; (2) a face-centered-cubic lattice with nearest-neighbor interaction; (3) a cubic lattice with a set of fully frustrating couplings. We discuss in all cases the vacua properties and analyze the phase transitions. Using finite-size scaling analysis we conclude that all phase transitions found are of first order.engjournal articlehttp://doi.org/10.1103/PhysRevB.53.2537http://journals.aps.orgopen access5351-73Spin-1/2 Heisenberg-antiferromagnetFrustrated quantum antiferromagnetsValence-bondPhase-transitionsSquare latticeGround-statesNeel stateOrderPeierlsSystems.Física (Física)Física-Modelos matemáticos22 Física