Fernández Pérez, Luis AntonioMartín Mayor, VíctorMuñoz Sudupe, AntonioSeoane Bartolomé, BeatrizYllanes Mosquera, Davidet al, ...2023-06-202023-06-202012-04-240027-842410.1073/pnas.1203295109https://hdl.handle.net/20.500.14352/45038© 2012 National Academy of Sciences. Artículo firmado por 22 autores. We thank Davide Rossetti for introducing us to the handling of the 128-bit registers. We acknowledge partial financial support from Ministerio de Ciencia e Innovación (MICINN), Spain, (contract nos. FIS2009-12648-C03, FIS2010-16587, TEC2010-19207), from Universidad Complutense de Madrid (UCM)-Banco de Santander (GR32/10-A/910383), from Junta de Extremadura, Spain (contract no. GR10158), and from Universidad de Extremadura (contract no. ACCVII-08). B.S. and D.Y. were supported by the Formación de Profesorado Universitario (FPU) program (Ministerio de Educación, Spain); R.A.B. and J.M.-G. were supported by the Formación de Personal Investigador (FPI) program (Diputación de Aragón, Spain); finally J.M.G.-N. was supported by the FPI program (Ministerio de Ciencia e Innovación, Spain).Spin glasses are a longstanding model for the sluggish dynamics that appear at the glass transition. However, spin glasses differ from structural glasses in a crucial feature: they enjoy a time reversal symmetry. This symmetry can be broken by applying an external magnetic field, but embarrassingly little is known about the critical behavior of a spin glass in a field. In this context, the space dimension is crucial. Simulations are easier to interpret in a large number of dimensions, but one must work below the upper critical dimension (i.e., in d < 6) in order for results to have relevance for experiments. Here we show conclusive evidence for the presence of a phase transition in a four-dimensional spin glass in a field. Two ingredients were crucial for this achievement: massive numerical simulations were carried out on the Janus special-purpose computer, and a new and powerful finite-size scaling method.engjournal articlehttp://doi.org/10.1073/pnas.1203295109http://www.pnas.org/http://arxiv.org/pdf/1202.5593v1.pdfopen access51-7353Monte-CarloModelEquilibriumSimulationsComputerBehaviorTorusField.Física (Física)Física-Modelos matemáticos22 Física