Precursors of the spin glass transition in three dimensions.



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Baity Jesi, Marco and Martín Mayor, Víctor (2019) Precursors of the spin glass transition in three dimensions. Journal of statistical mechanics: theory and experiment . ISSN 1742-5468

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We study energy landscape and dynamics of the three-dimensional Heisenberg spin glass model in the paramagnetic phase, i.e. for temperature T larger than the critical temperature T-c. The landscape is non-trivially related to the equilibrium states even in the high-temperature phase, and reveals an onset of non-trivial behavior at a temperature T-o, which is also seen through the behavior of the thermoremanent magnetization. We also find a power-law growth of the relaxation times far from the spin-glass transition, indicating a dynamical crossover at a temperature T-d, T-c < T-d < T-o. The arising picture is reminiscent of the phenomenology of supercooled liquids, and poses questions on which mean-field models can describe qualitatively well the phenomenology in three dimensions. On the technical side, local energy minima are found with the Successive Overrelaxation algorithm, which reveals very efficient for energy minimization in this kind of models.

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© 2019 IOP Publishing.
We thank Federico Ricci-Tersenghi for many valuable discussions. We thank Luis Antonio Fernandez for suggesting the use of the Successive Overrelaxation algorithm. We also thank Ada Altieri, Silvio Franz and Harukuni Ikeda for interesting discussions. This work was funded through Grant No. FIS2015-65078-C2-1-P, jointly funded by MINECO (Spain) and FEDER (European Union). MB-J was supported by the Simons Foundation for the collaboration Cracking the Glass Problem (No. 454951 to D R Reichman).

Uncontrolled Keywords:Mean field models; Critical behavior; Energy landscape; Dynamics; Breaking.
Subjects:Sciences > Physics
ID Code:57239
Deposited On:18 Oct 2019 15:02
Last Modified:21 Oct 2019 07:54

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