Static scaling in a short-range Ising spin glass

Gunnarsson, Klas; Svedlindh, Peter; Nordblad, Per; Lundgren, L.; Aruga, H.; Ito, A.

doi:10.1103/physrevb.43.8199

Cited by 108 publications

(126 citation statements)

References 16 publications

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“…There is a general consensus that the spin-glass transition occurs in the Ising model in three dimensions. 5,6,7 The estimated critical exponents agree with the corresponding experimental results 8 . Spins of many spin-glass materials are of Heisenberg type.…”

Section: Introductionsupporting

confidence: 85%

Nonvanishing spin-glass transition temperature of the±JXYmodel in three dimensions

2004

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A three-dimensional ±J XY spin-glass model is investigated by a nonequilibrium relaxation method. We have introduced a new criterion for the finite-time scaling analysis. A transition temperature is obtained by a crossing point of obtained data. The scaling analysis on the relaxation functions of the spin-glass susceptibility and the chiral-glass susceptibility shows that both transitions occur simultaneously. The result is checked by relaxation functions of the Binder parameters and the glass correlation lengths of the spin and the chirality. Every result is consistent if we consider that the transition is driven by the spin degrees of freedom.

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Section: Introductionsupporting

confidence: 85%

Nonvanishing spin-glass transition temperature of the±JXYmodel in three dimensions

2004

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“…The critical exponent ␥ is smaller than that observed on spin glasses (␥ Ϸ4). 18 This seems to hint either at a proximity to mean-field behavior (␥ϭ1) ͑Ref. 13͒ owing to the long-range nature of the dipolar interaction, or at spurious blocking processes of large particles within the relatively broad log-normal particle size distribution ͑ Ϸ2.7 for tϭ1.3 nm͒ ͑Ref.…”

Section: Resultsmentioning

confidence: 99%

Interacting ferromagnetic nanoparticles in discontinuousCo80Fe20/A
Kleemann¹,
Petracic²,
Binek³
et al. 2001
Phys. Rev. B
200
11
151
1
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Dipolar superferromagnetism with reentrant low-temperature superspin glass behavior is observed on a randomly distributed ferromagnetic nanoparticle systems in discontinuous metal-insulator multilayers ͓Co 80 Fe 20 (t)/Al 2 O 3 ͑3 nm͔͒ 10 with nominal thickness 1.1рtр1.3 nm by use of ac susceptometry and dc magnetometry. At tϭ1.0 nm, superspin glass-like freezing is evidenced by the criticality of dynamic and nonlinear susceptibilities.

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“…The coordinates of the MGP in the T -p plane are 42 T * = 1.6692(3) and p * = 0.76820 (4). The multicritical behavior is characterized by 42 the thermal exponent ν = 1.64(5), the crossover exponent φ = 1.67 (10), and the magnetic (and also overlap) exponent η = −0.114 (3).…”

Section: Ising Spin Glass Systems a The ±J Edwards-anderson Isinmentioning

confidence: 99%

Critical behavior of three-dimensional Ising spin glass models

Pelissetto²,

2008

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We perform high-statistics Monte Carlo simulations of three-dimensional Ising spin-glass models on cubic lattices of size L: the ±J (Edwards-Anderson) Ising model for two values of the disorder parameter p, p = 0.5 and p = 0.7 (up to L = 28 and L = 20, respectively), and the bond-diluted bimodal model for bond-occupation probability p b = 0.45 (up to L = 16). The finite-size behavior of the quartic cumulants at the critical point allows us to check very accurately that these models belong to the same universality class. Moreover, it allows us to estimate the scaling-correction exponent ω related to the leading irrelevant operator: ω = 1.0(1). Shorter Monte Carlo simulations of the bond-diluted bimodal models at p b = 0.7 and p b = 0.35 (up to L = 10) and of the Ising spinglass model with Gaussian bond distribution (up to L = 8) also support the existence of a unique Ising spin-glass universality class. A careful finite-size analysis of the Monte Carlo data which takes into account the analytic and the nonanalytic corrections to scaling allows us to obtain precise and reliable estimates of the critical exponents ν and η: we obtain ν = 2.45(15) and η = −0.375(10).

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Static scaling in a short-range Ising spin glass

Cited by 108 publications

References 16 publications

Nonvanishing spin-glass transition temperature of the±JXYmodel in three dimensions

Nonvanishing spin-glass transition temperature of the±JXYmodel in three dimensions

Interacting ferromagnetic nanoparticles in discontinuousCo80Fe20/A
Kleemann¹,
Petracic²,
Binek³
et al. 2001
Phys. Rev. B
200
11
151
1
View full text Add to dashboard Cite

Critical behavior of three-dimensional Ising spin glass models

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Static scaling in a short-range Ising spin glass

Cited by 108 publications

References 16 publications

Nonvanishing spin-glass transition temperature of the±JXYmodel in three dimensions

Nonvanishing spin-glass transition temperature of the±JXYmodel in three dimensions

Interacting ferromagnetic nanoparticles in discontinuousCo80Fe20/AKleemann1, Petracic2, Binek3 et al. 2001Phys. Rev. B200111511View full textAdd to dashboardCite

Critical behavior of three-dimensional Ising spin glass models

Contact Info

Product

Resources

About

Interacting ferromagnetic nanoparticles in discontinuousCo80Fe20/A
Kleemann¹,
Petracic²,
Binek³
et al. 2001
Phys. Rev. B
200
11
151
1
View full text Add to dashboard Cite