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
The renormalization group and critical phenomena
TL;DR: In this article, a simplified presentation of the basic ideas of the renormalization group and the ε expansion applied to critical phenomena is given, following roughly a summary exposition given in 1972.
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Magnetic Properties of Nanostructured Materials
TL;DR: In this paper, a classification of nanostructure morphology according to the mechanism responsible for the magnetic properties is presented, followed by a brief discussion of some promising experimental techniques in synthesis and measurements.
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Critical features of colossal magnetoresistive manganites
TL;DR: In this paper, the phase separation phenomenon on various time-scales (from static to dynamic) and the enhanced phase fluctuation with anomalous reduction in the transition temperatures of the competing phases (and hence in the bicritical-point temperature).
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Freezing of the polarization fluctuations in lead magnesium niobate relaxors
TL;DR: In this article, the dielectric relaxation of a solid solution of lead titanate in lead magnesium niobate is found to be similar to the magnetic relaxation in spin-glass systems.
Journal ArticleDOI
Kinetic roughening phenomena, stochastic growth, directed polymers and all that. Aspects of multidisciplinary statistical mechanics
TL;DR: Kinetic interfaces form the basis of a fascinating, interdisciplinary branch of statistical mechanics as mentioned in this paper, which can be unified via an intriguing nonlinear stochastic partial differential equation whose consequences and generalizations have mobilized a sizeable community of physicists concerned with a statistical description of kinetically roughened surfaces.
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