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Low-Frequency Relaxation in Ising Spin-Glasses
Abstract
For $d$-dimensional short-range Ising spin-glasses with local spin-flip dynamics, the correlation function $〈{s}_{i}(0){s}_{i}(t)〉$ is argued to be bounded below by a function of the form $\mathrm{exp}[\ensuremath{-}c{(\mathrm{ln}t)}^{\frac{d}{(d\ensuremath{-}1)}}]$ in a temperature range above the spin-glass transition. The slow relaxation of large isolated clusters of unfrustrated spins is responsible for this bound. We suggest that this is the signature for an intermediate Griffiths phase between the spin-glass and the paramagnetic phases.
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Citations
Cites
Infinite Number of Order Parameters for Spin-Glasses
Parisi, G. (1979) · Physical Review Letters · doi:10.1103/physrevlett.43.1754 · Cited by 1,140
Cited by
Dynamics of three-dimensional Ising spin glasses in thermal equilibrium
Ogielski, A. T. (1985) · Physical Review B · doi:10.1103/physrevb.32.7384 · Cited by 773
Rare region effects at classical, quantum and nonequilibrium phase transitions
Vojta, T. (2006) · Journal of Physics A: Mathematical and General · doi:10.1088/0305-4470/39/22/r01 · Cited by 422
Brando, M., Belitz, D., Grosche, F. M., & Kirkpatrick, T. R. (2016) · Reviews of Modern Physics · doi:10.1103/revmodphys.88.025006 · Cited by 347
The ergodic side of the many‐body localization transition
Luitz, D. J., & Lev, Y. B. (2017) · Annalen der Physik · doi:10.1002/andp.201600350 · Cited by 308
Metadata
- Authors
- Randeria, M., Sethna, J. P., & Palmer, R. G.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1985-03-25
- Volume
- 54
- Issue
- 12
- Pages
- 1321-1324
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2089836888
- Cited by
- 224
- References
- 1
- FWCI
- 8.52
- Type
- journal article
- Language
- en
- Open access
- closed
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- Randeria, M., Sethna, J. P., & Palmer, R. G. (1985). Low-Frequency Relaxation in Ising Spin-Glasses. Physical Review Letters. https://doi.org/10.1103/physrevlett.54.1321
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