Campos, I.Cotallo-Abán, M.Martín Mayor, VíctorPérez Gaviro, S.Tarancón, A.2023-06-202023-06-202006-11-240031-900710.1103/PhysRevLett.97.217204https://hdl.handle.net/20.500.14352/52136© 2006 American Physical Society. Alonso for discussions, and BIFI (U. Z.) and Marenostrum (Barcelona Supercomputing Center) for computing time. We were partly supported by BSCH—UCM, by DGA– Spain (M. C.-A and S. P.-G.), and by MEC (Spain) through Contracts No. BFM2003-08532 and No. FIS2004-05073.It is shown, by means of Monte Carlo simulation and finite size scaling analysis, that the Heisenberg spin glass undergoes a finite-temperature phase transition in three dimensions. There is a single critical temperature, at which both a spin glass and a chiral glass ordering develop. The Monte Carlo algorithm, adapted from lattice gauge theory simulations, makes it possible to thermalize lattices of size L 32, larger than in any previous spin-glass simulation in three dimensions. High accuracy is reached thanks to the use of the Marenostrum supercomputer. The large range of system sizes studied allows us to consider scaling corrections.engjournal articlehttp://dx.doi.org/10.1103/PhysRevLett.97.217204https://journals.aps.orgrestricted access53Antiferromagnetic RP(2) modelMonte-Carlo3 dimensionsPhase-transitionsCritical-behaviorTemperatureSimulationSystemsField.Física-Modelos matemáticos