Journal ArticleDOI
Random-Field Instability of the Ordered State of Continuous Symmetry
Yoseph Imry,Shang-keng Ma +1 more
TLDR
In this article, it was shown 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 and the borderline dimensionality above which mean-field-theory results hold is six.Abstract:
Phase transitions are considered 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. (auth)read more
Citations
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Journal ArticleDOI
On the missing scaling relation in random field systems
TL;DR: A detailed proof is given that for random field systems the susceptibility and correlation function are related at the transition and this yields an additional scaling relation η = 2η.
Journal ArticleDOI
Disorder effects on the charge-density waves structure in V- and W-doped blue bronzes: Friedel oscillations and charge-density wave pinning
Sylvain Ravy,S. Rouziere,Jean-Paul Pouget,Serguei Brazovskii,J. Marcus,J. F. Berar,E. Elkaim +6 more
TL;DR: In this article, an x-ray diffuse scattering study of the charge-density wave (CDW) structure in doped blue bronzes was presented, and the authors showed that the profile asymmetry is due to Friedel oscillations around the charged V substituent and the intensity asymmetry was related to the strong pinning of the CDW.
Journal ArticleDOI
Quantum Coding with Low-Depth Random Circuits
Michael Gullans,Michael Gullans,Stefan Krastanov,Stefan Krastanov,David A. Huse,Liang Jiang,Steven T. Flammia +6 more
TL;DR: In this paper, it was shown that a depth O( log N ) random circuit is necessary and sufficient to converge to zero failure probability for any finite amount below the optimal erasure threshold, set by the channel capacity, for any D ≥ 1 spatial dimensions.
Journal ArticleDOI
On the irrelevant disorder regime of pinning models
TL;DR: This work exploits interpolation and replica coupling methods to get sharper results on the irrelevant disorder regime of pinning models and compute in this regime the first order term in the expansion of the free energy close to criticality, and this term coincides with the first orders of the formal ex- pansion obtained by field theory methods.
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