Abstract
We prove that to all orders in perturbation expansion, the critical exponents of a phase transition in a $d$-dimensional ($4<d<6$) system with short-range exchange and a random quenched field are the same as those of a ($d\ensuremath{-}2$)-dimensional pure system. Heuristic arguments are given to discuss both this result and the random-field Ising model for $2<d<6$.
Keywords
Curse of dimensionalityIsing modelPhysicsRandom fieldStatistical physicsPhase transitionCritical exponentCondensed matter physicsMathematicsStatistics
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Publication Info
- Year
- 1976
- Type
- article
- Volume
- 37
- Issue
- 20
- Pages
- 1364-1367
- Citations
- 421
- Access
- Closed
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Cite This
Amnon Aharony,
Y. Imry,
Shang-keng Ma
(1976).
Lowering of Dimensionality in Phase Transitions with Random Fields.
Physical Review Letters
, 37
(20)
, 1364-1367.
https://doi.org/10.1103/physrevlett.37.1364
Identifiers
- DOI
- 10.1103/physrevlett.37.1364