Scaling Law Describes the Spin-Glass Response in Theory, Experiments, and Simulations

Zhai, Qiang; Paga, I.; Baity‐Jesi, Marco; Calore, Enrico; Cruz, A.; Fernández, L.A.; Gil-Narvion, J. M.; Pemartín, I. González-Adalid; Gordillo‐Guerrero, A.; Íñiguez, D.; Maiorano, Andrea; Marinari, Enzo; Martı́n-Mayor, V.; Moreno-Gordo, J.; Sudupe, A. Muñoz; Navarro, D.; Orbach, Raymond Lee; Parisi, G.; Pérez-Gaviro, S.; Ricci-Tersenghi, Federico; Ruiz‐Lorenzo, J. J.; Schifano, Sebastiano Fabio; Schlagel, Deborah L.; Seoane, Beatriz; Tarancón, A.; Tripiccione, R.; Yllanes, David

doi:10.1103/physrevlett.125.237202

Cited by 16 publications

(35 citation statements)

References 34 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The synergy between these two approaches, combined with theory, opens up a new vista for spin-glass dynamics. A direct outgrowth of this collaboration is the introduction of the new magnetisation scaling law, which encompasses the full range of magnetic fields for temperatures in the vicinity of the condensation temperature T g [4]. This scaling law successfully describes both experimental and simulation results and, as noted above, will resolve a nearly threedecade-old controversy concerning the nature of the magnetic state.…”

Section: Contentsmentioning

confidence: 87%

Spin-glass dynamics in the presence of a magnetic field: exploration of microscopic properties

Paga¹,

Zhai²,

Baity‐Jesi³

et al. 2021

J. Stat. Mech.

View full text Add to dashboard Cite

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 spinglass transition temperature T g . The spin-glass correlation length, ξ(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 nonlinear magnetic susceptibility is reported from experiment and simulations, using ξ(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.

show abstract

Section: Contentsmentioning

confidence: 87%

Spin-glass dynamics in the presence of a magnetic field: exploration of microscopic properties

Paga¹,

Zhai²,

Baity‐Jesi³

et al. 2021

J. Stat. Mech.

View full text Add to dashboard Cite

show abstract

“…Indeed, it has become possible nowadays to subject experimental and numerical data to a parallel analysis (see Refs. [17][18][19] and Sec. 5 in this chapter).…”

Section: Introductionmentioning

confidence: 93%

“…On the other hand, the quantitative agreement in the non-equilibrium dynamics in the spin glass phase between experiments in CuMn samples and Ising-Edwards-Anderson simulations, see Refs. [17][18][19] and Sec. 5, seems to support the choice of modeling spin glasses with an Ising Hamiltonian.…”

Section: Introductionmentioning

confidence: 93%

Numerical Simulations and Replica Symmetry Breaking

Martin-Mayor¹,

Ruiz-Lorenzo²,

Seoane³

et al. 2022

Preprint

Self Cite

View full text Add to dashboard Cite

Use of dedicated computers in spin glass simulations allows one to equilibrate very large samples (of size as large as L = 32) and to carry out computer experiments that can be compared to (and analyzed in combination with) laboratory experiments on spin-glass samples. In the absence of a magnetic field, the most economic conclusion of the combined analysis of equilibrium and non-equilibrium simulations is that an RSB spin glass phase is present in three spatial dimensions. However, in the presence of a field, the lower critical dimension for the de Almeida-Thouless transition seems to be larger than three.

show abstract

“…Energy is stored in ordered domains whose size and growth arrest or accelerates the dynamics. In particular, the relevance of the domain growth for the dynamic slowdown in spin glasses is now clear [17][18][19][20][21][22][23][24].…”

Section: Introductionmentioning

confidence: 99%

Slow growth of magnetic domains helps fast evolution routes for out-of-equilibrium dynamics

et al. 2021

View full text Add to dashboard Cite

Cooling and heating faster a system is a crucial problem in science, technology and industry. Indeed, choosing the best thermal protocol to reach a desired temperature or energy is not a trivial task. Noticeably, we find that the phase transitions may speed up thermalization in systems where there are no conserved quantities. In particular, we show that the slow growth of magnetic domains shortens the overall time that the system takes to reach a final desired state. To prove that statement, we use intensive numerical simulations of a prototypical many-body system, namely the 2D Ising model.

show abstract

Scaling Law Describes the Spin-Glass Response in Theory, Experiments, and Simulations

Cited by 16 publications

References 34 publications

Spin-glass dynamics in the presence of a magnetic field: exploration of microscopic properties

Spin-glass dynamics in the presence of a magnetic field: exploration of microscopic properties

Numerical Simulations and Replica Symmetry Breaking

Slow growth of magnetic domains helps fast evolution routes for out-of-equilibrium dynamics

Contact Info

Product

Resources

About