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Random-Field Instability of the Ordered State of Continuous Symmetry
Abstract
We consider phase transitions in systems where the field conjugate to the order parameter is static and random. It is demonstrated that when the order parameter has a continuous symmetry, the ordered state is unstable against an arbitrarily weak random field in less than four dimensions. The borderline dimensionality above which mean-field-theory results hold is six.
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Citations
Cited by
Critical phenomena in complex networks
Dorogovtsev, S. N., Goltsev, A. V., & Mendes, J. F. F. (2008) · Reviews of Modern Physics · doi:10.1103/revmodphys.80.1275 · Cited by 2,220
Exchange bias in nanostructures
Nogués, J., Sort, J., Langlais, V., Skumryev, V., Suriñach, S., Muñoz, J. S., & Baró, M. D. (2005) · Physics Reports · doi:10.1016/j.physrep.2005.08.004 · Cited by 1,925
Electric field depinning of charge density waves
Lee, P. A., & Rice, T. M. (1979) · Physical Review B · doi:10.1103/physrevb.19.3970 · Cited by 938
Quantum simulation of antiferromagnetic spin chains in an optical lattice
Simon, J., Bakr, W. S., Ma, R., Tai, M. E., Preiss, P. M., & Greiner, M. (2011) · Nature · doi:10.1038/nature09994 · Cited by 898
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
Metadata
- Authors
- Imry, Y., & Ma, S.-K.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1975-11-24
- Volume
- 35
- Issue
- 21
- Pages
- 1399-1401
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2057460263
- Cited by
- 2,666
- References
- 0
- FWCI
- 11.75
- Type
- journal article
- Language
- en
- Open access
- closed
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