Scaling law describes the spin-glass response in theory, experiments and simulations

The correlation length \(\xi\), a key quantity in glassy dynamics, can now be precisely measured for spin glasses both in experiments and in simulations. However, known analysis methods lead to discrepancies either for large external fields or close to the glass temperature. We solve this problem by...

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Published in:arXiv.org 2020-11
Main Authors: Zhai, Q, Paga, I, Baity-Jesi, M, Calore, E, Cruz, A, Fernandez, L A, Gil-Narvion, J M, I Gonzalez-Adalid Pemartin, Gordillo-Guerrero, A, Iñiguez, D, Maiorano, A, Marinari, E, Martin-Mayor, V, Moreno-Gordo, J, Muñoz-Sudupe, A, Navarro, D, Orbach, R L, Parisi, G, Perez-Gaviro, S, Ricci-Tersenghi, F, Ruiz-Lorenzo, J J, Schifano, S F, Schlagel, D L, Seoane, B, Tarancon, A, Tripiccione, R, Yllanes, D
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Language:English
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Computer simulation
Scaling laws
Simulation
Single crystals
Spin glasses
Time dependence
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creator Zhai, Q
Paga, I
Baity-Jesi, M
Calore, E
Cruz, A
Fernandez, L A
Gil-Narvion, J M
I Gonzalez-Adalid Pemartin
Gordillo-Guerrero, A
Iñiguez, D
Maiorano, A
Marinari, E
Martin-Mayor, V
Moreno-Gordo, J
Muñoz-Sudupe, A
Navarro, D
Orbach, R L
Parisi, G
Perez-Gaviro, S
Ricci-Tersenghi, F
Ruiz-Lorenzo, J J
Schifano, S F
Schlagel, D L
Seoane, B
Tarancon, A
Tripiccione, R
Yllanes, D
description The correlation length \(\xi\), a key quantity in glassy dynamics, can now be precisely measured for spin glasses both in experiments and in simulations. However, known analysis methods lead to discrepancies either for large external fields or close to the glass temperature. We solve this problem by introducing a scaling law that takes into account both the magnetic field and the time-dependent spin-glass correlation length. The scaling law is successfully tested against experimental measurements in a CuMn single crystal and against large-scale simulations on the Janus II dedicated computer.
doi_str_mv 10.48550/arxiv.2007.03871
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subjects Computer simulation
Scaling laws
Simulation
Single crystals
Spin glasses
Time dependence
title Scaling law describes the spin-glass response in theory, experiments and simulations
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