Dimensional crossover in the aging dynamics of spin glasses in a film geometry.
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2019
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American Physical Society
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Abstract
Motivated by recent experiments of exceptional accuracy, we study numerically the spin-glass dynamics in a film geometry. We cover all the relevant time regimes, from picoseconds to equilibrium, at temperatures at and below the 3D critical point. The dimensional crossover from 3D to 2D dynamics, which starts when the correlation length becomes comparable to the film thickness, consists of four dynamical regimes. Our analysis, based on a renormalization group transformation, finds consistent the overall physical picture employed by Orbach and co-workers in the interpretation of their experiments.
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©2019 American Physical Society.
We thank R. Orbach and G. Parisi for encouraging discussions. This work was partially supported by Spain's Ministerio de Economia, Industria, y Competitividad (MINECO) through Grants No. FIS2015-65078-C2 and No. FIS2016-76359-P (also partly funded by the EU through the FEDER program), by Agencia Estatal de Investigacion (AEI) through Grant No. PGC2018-094684-B-C21 (also partly funded by FEDER), by the Junta de Extremadura (Spain) through Grants No. GRU10158 and No. IB16013 (both partially funded by FEDER), by the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation program [Grant No. 723955 (GlassUniversality) and Grant No. 694925 (LoTGlasSy)], and by the Italian Ministry for Education, Universities, and Research (MIUR) through the FARE project Structural Disorder and Out-of-Equilibrium Slow Dynamics in Interdisciplinary Applications. Our simulations were carried out at the BIFI supercomputing center (using the Cierzo cluster) and at ICCAEx supercomputer center in Badajoz (Grinfishpc and Iccaexhpc). We thank the staff at BIFI and ICCAEx supercomputing centers for their assistance.