The DOI matches its Crossref record; 10 of the 10 references it cites were found in a registry or an index.
Lowering of Dimensionality in Phase Transitions with Random Fields
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 $2<d<6$.
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Citations
Cites
Phase Transitions and Critical Phenomena
(2016) · Statistical and Thermal Physics · doi:10.1201/9781439850541-13 · Cited by 11,176
Random-Field Instability of the Ordered State of Continuous Symmetry
Imry, Y., & Ma, S.-K. (1975) · Physical Review Letters · doi:10.1103/physrevlett.35.1399 · Cited by 2,666
Self-citationBjorken, J. D., Drell, S. D., & Kahn, P. B. (1966) · American Journal of Physics · doi:10.1119/1.1972989 · Cited by 2,548
Critical Exponents for Long-Range Interactions
Fisher, M. E., Ma, S.-K., & Nickel, B. G. (1972) · Physical Review Letters · doi:10.1103/physrevlett.29.917 · Cited by 1,236
Self-citationFeynman-Graph Expansion for Critical Exponents
Wilson, K. G. (1972) · Physical Review Letters · doi:10.1103/physrevlett.28.548 · Cited by 655
Spontaneous breakdown of continuous symmetries near two dimensions
Brézin, E., & Zinn-Justin, J. (1976) · Physical Review B · doi:10.1103/physrevb.14.3110 · Cited by 599
Brézin, E., & Zinn-Justin, J. (1976) · Physical Review Letters · doi:10.1103/physrevlett.36.691 · Cited by 381
Two-scale-factor universality and the renormalization group
Hohenberg, P. C., Aharony, A., Halperin, B. I., & Siggia, E. D. (1976) · Physical Review B · doi:10.1103/physrevb.13.2986 · Cited by 278
Self-citationFerromagnetic Phase Transitions in Random Fields: The Breakdown of Scaling Laws
Grinstein, G. (1976) · Physical Review Letters · doi:10.1103/physrevlett.37.944 · Cited by 276
Ideal Bose Einstein condensation and disorder effects
Lacour-Gayet, P., & Toulouse, G. (1974) · Journal de physique · doi:10.1051/jphys:01974003505042500 · Cited by 94
Cited by
Dynamical quantum phase transitions: a review
Heyl, M. (2018) · Reports on Progress in Physics · doi:10.1088/1361-6633/aaaf9a · Cited by 678
The nonperturbative functional renormalization group and its applications
Dupuis, N., Canet, L., Eichhorn, A., Metzner, W., Pawlowski, J. M., Tissier, M., & Wschebor, N. (2021) · Physics Reports · doi:10.1016/j.physrep.2021.01.001 · Cited by 660
Hysteresis, avalanches, and disorder-induced critical scaling: A renormalization-group approach
Dahmen, K., & Sethna, J. P. (1996) · Physical Review B · doi:10.1103/physrevb.53.14872 · Cited by 269
Aharony, O., Komargodski, Z., & Yankielowicz, S. (2016) · Journal of High Energy Physics · doi:10.1007/jhep04(2016)013 · Cited by 23
Metadata
- Authors
- Aharony, A., Imry, Y., & Ma, S.-K.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1976-11-15
- Volume
- 37
- Issue
- 20
- Pages
- 1364-1367
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2040899617
- Cited by
- 425
- References
- 10
- FWCI
- 5.18
- Type
- journal article
- Language
- en
- Open access
- closed
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
