Spin Anisotropy and Slow Dynamics in Spin Glasses

Bert, F.; Dupuis, Vincent; Vincent, E.; Hammann, J.; Bouchaud, Jean‐Philippe

doi:10.1103/physrevlett.92.167203

Cited by 97 publications

(203 citation statements)

References 19 publications

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“…Indeed, experiments are performed on a time scale which is about 10 8 times longer than typical simulations. Yet, experimentally, 19 there are around ϳ10 5 spins in a coherent cluster ͓hence T ͑t w ͒ϳ40 lattice spacings͔, while simulations achieve ͑see below͒ T ͑t w ͒ϳ10 lattice spacings. When length scales are confronted, the differences with experimental conditions do not seem so dramatic.…”

Section: ͑1͒mentioning

confidence: 98%

“…Experiments where ͑T 2 − T 1 ͒ / T 1 is very small can be accounted for by the cumulative aging scenario, 17,19 consisting in the three following hypotheses:…”

Section: ͑1͒mentioning

confidence: 99%

“…However, more complicated rules have been used. 5,[17][18][19] ͑ii͒ The coherence length always grows with time. It behaves continuously upon temperature changes.…”

Section: ͑1͒mentioning

confidence: 99%

“…Equation ͑4͒ is used in an indirect way, both in the analysis of simulations 9,27 and experiments. [17][18][19] Relations such as Eq. ͑3͒, obtained in a different experiment, are used to convert the measured effective times into length scales and vice versa.…”

Section: ͑1͒mentioning

confidence: 99%

“…Similarly, one can define 19 an effective time for the temperature cycle protocol T 1 → T 2 → T 1 : 21 one keeps the system a time t w at T 1 , then shifts the temperature to T 2 , waits a time t 2 ϳ 20t w , shifts back the temperature to T 1 , switches on a magnetic field, and then records the ZFC magnetization. …”

Section: Introductionmentioning

confidence: 99%

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Rejuvenation and memory in model spin glasses in three and four dimensions

2005

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We numerically study aging for the Edwards-Anderson model in three and four dimensions using different temperature-change protocols. In D = 3, time scales a thousand times larger than in previous work are reached with the Spin Update Engine ͑SUE͒ machine. Deviations from cumulative aging are observed in the nonmonotonic time behavior of the coherence length. Memory and rejuvenation effects are found in a temperature-cycle protocol, revealed by vanishing effective waiting times. Similar effects are reported for the D = 3 site-diluted ferromagnetic Ising model ͑without chaos͒. However, rejuvenation is reduced if off-equilibrium corrections to the fluctuation-dissipation theorem are considered. Memory and rejuvenation are quantitatively describable in terms of the growth regime of the spin-glass coherence length.

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Section: ͑1͒mentioning

confidence: 98%

“…Experiments where ͑T 2 − T 1 ͒ / T 1 is very small can be accounted for by the cumulative aging scenario, 17,19 consisting in the three following hypotheses:…”

Section: ͑1͒mentioning

confidence: 99%

“…However, more complicated rules have been used. 5,[17][18][19] ͑ii͒ The coherence length always grows with time. It behaves continuously upon temperature changes.…”

Section: ͑1͒mentioning

confidence: 99%

Section: ͑1͒mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Rejuvenation and memory in model spin glasses in three and four dimensions

2005

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Disordered and Frustrated Spin Systems

Binder

Young

2007

Handbook of Magnetism and Advanced Magnetic Materials

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A brief review on the effects of quenched disorder on magnetic ordering is given. This disorder can be due to dilution of a ferro‐ or antiferromagnetic crystal with nonmagnetic atoms, or due to noncrystallinity (amorphous magnetic systems). This disorder in the positions of the magnetic atoms leads to disorder in the exchange interactions between spins. If the disorder is sufficiently weak, the critical temperature of magnetic ordering is somewhat decreased, and the critical behavior may change, but the nature of ordering is maintained. However, if the disorder is sufficiently strong, magnetic long‐range order may disappear altogether at a percolation threshold, or a new type of order may appear, the ‘spin glass’, in which spins freeze in random directions because of random competition between ferro‐ and antiferromagnetic interactions. In this context, we also mention magnetic systems with ‘frustration’ of their exchange interactions but without disorder. Finally, another important class of phenomena occurs for systems with ‘random fields’, an example of which is provided by diluted antiferromagnets in a uniform field.

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The Random First‐Order Transition Theory of Glasses: A Critical Assessment

Biroli

Bouchaud

2012

Structural Glasses and Supercooled Liquids

107

164

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The aim of this chapter is to summarise the basic arguments and the intuition bolstering the RFOT picture for glasses, based on a finite dimensional extension of mean-field models with an exponentially large number of metastable states. We review the pros and cons that support or undermine the theory, and the directions, both theoretical and experimental, where progress is needed to ascertain the status of RFOT. We elaborate in particular on the notions of mosaic state and point-to-set correlations, and insist on the importance of fluctuations in finite dimensions, that significantly blur the expected cross-over between a Mode-Coupling like regime and the mosaic, activated regime. We discuss in detail the fundamental predictions of RFOT, in particular the possibility to force a small enough system into an ideal glass state, and present several new ones, concerning aging properties or non-linear rheology. Finally, we compare RFOT to other recent theories, including elastic models, Frustration Limited Domains or Kinetically Constrained models.Details that could throw doubt on your interpretation must be given, if you know them. You must do the best you can -if you know anything at all wrong, or possibly wrong -to explain it. If you make a theory, for example, and advertise it, or put it out, then you must also put down all the facts that disagree with it, as well as those that agree with it.

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Spin Anisotropy and Slow Dynamics in Spin Glasses

Cited by 97 publications

References 19 publications

Rejuvenation and memory in model spin glasses in three and four dimensions

Rejuvenation and memory in model spin glasses in three and four dimensions

Disordered and Frustrated Spin Systems

The Random First‐Order Transition Theory of Glasses: A Critical Assessment

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