Paga, I.Zhai, Q.Baity-Jesi, M.Calore, E.Cruz, A.Fernández Pérez, Luis AntonioGil-Narvión, J. M.González-Adalid Pemartín, IsidoroGordillo Guerrero, A.Iñiguez, D.Maiorano, A.Marinari, E.Martín Mayor, VíctorMoreno Gordo, J.Muñoz Sudupe, AntonioNavarro, D.Orbach, R. L.Parisi, G.Perez-Gaviro, S.Ricci-Tersenghi, F.Ruiz-Lorenzo, J. J.Schifano, S. F.Schlagel, D. L.Seoane Bartolomé, BeatrizTarancón, A.Tripiccione, R.Yllanes, D.2023-06-172023-06-172021-031742-546810.1088/1742-5468/abdfcahttps://hdl.handle.net/20.500.14352/8010© 2021 IOP Publishing Ltd We are grateful for helpful discussions with S Swinnea about sample characterisation. This work was partially supported by the US Department of Energy, Office of Basic Energy Sciences, Division of Materials Science and Engineering, under Award No. DE-SC0013599, and Contract No. DE-AC02-07CH11358. We were partly funded as well by Ministerio de Economia, Industria y Competitividad (MINECO, Spain), Agencia Estatal de Investigacion (AEI, Spain), and Fondo Europeo de Desarrollo Regional (FEDER, EU) through Grants No. FIS2016-76359-P, No. PID2019-103939RB-I00, No. PGC2018-094684-B-C21 and PGC2018-094684-B-C22, by the Junta de Extremadura (Spain) and Fondo Europeo de Desarrollo Regional (FEDER, EU) through Grant Nos. GRU18079 and IB15013 and by the DGA-FSE (Diputaci ' on General de Aragon-Fondo Social Europeo). This project has also received funding from the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation programme (Grant No. 694925 LotGlasSy). D Y was supported by the Chan Zuckerberg Biohub and IGAP was supported by the Ministerio de Ciencia, Innovacion y Universidades (MCIU, Spain) through FPU Grant No. FPU18/02665. B S was supported by the Comunidad de Madrid and the Complutense University of Madrid (Spain) through the Atraccion de Talento programme (reference 2019-T1/TIC-12776). The simulations of section 5.6.2 were carried out at the ICCAEx supercomputer centre in Badajoz. We thank the staff at ICCAEx for their assistance.The synergy between experiment, theory, and simulations enables a microscopic analysis of spin-glass dynamics in a magnetic field in the vicinity of and below the spin-glass transition temperature T-g. The spin-glass correlation length, xi(t, t(w); T), is analysed both in experiments and in simulations in terms of the waiting time t(w) after the spin glass has been cooled down to a stabilised measuring temperature T < T-g and of the time t after the magnetic field is changed. This correlation length is extracted experimentally for a CuMn 6 at. % single crystal, as well as for simulations on the Janus II special-purpose supercomputer, the latter with time and length scales comparable to experiment. The non-linear magnetic susceptibility is reported from experiment and simulations, using xi(t, t(w); T) as the scaling variable. Previous experiments are reanalysed, and disagreements about the nature of the Zeeman energy are resolved. The growth of the spin-glass magnetisation in zero-field magnetisation experiments, M-ZFC(t, t(w); T), is measured from simulations, verifying the scaling relationships in the dynamical or non-equilibrium regime. Our preliminary search for the de Almeida-Thouless line in D = 3 is discussed.engjournal articlehttp://doi.org/10.1088/1742-5468/abdfcahttps://iopscience.iop.org/https://arxiv.org/abs/2101.00821open access53Ergodicity breakingMemory effectsSpin glassesFísica (Física)22 Física