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 Influence of Disorder on Thermotropic Nematic Liquid Crystals Phase Behavior
TL;DR: In this paper, the main properties of liquid crystals as adequate systems in which several open questions with respect to the impact of disorder on universal phase and structural behavior could be explored are explored.
Journal ArticleDOI
Chiral phases of superfluid 3 He in an anisotropic medium
TL;DR: In this paper, Ginzburg-Landau theory for a class of equal-spin-pairing (ESP) states in a medium with uniaxial anisotropy is developed and used to analyze recent experiments on unlabeled aerogels.
Journal ArticleDOI
Study of Magnetic Correlations in Nanostructured Ferromagnets by Correlation Magnetometry
TL;DR: In this article, a theoretically justified experimental magnetometric technique for determining the size of stochastic domains spontaneously formed in the spin system of nanostructured ferromagnets and for evaluating the effective anisotropy in these magnetically correlated regions was proposed.
Journal ArticleDOI
Random-field experiments in dilute antiferromagnets
TL;DR: Experiments in d = 2 and d = 3 random-field Ising systems are reviewed in this article, where it is shown that extreme critical slowing plays an essential role in the D = 3 measurements.
Journal ArticleDOI
On the Decay of Correlations in the Random Field Ising Model
TL;DR: The first quantitative version of the Aizenman-Wehr theorem was proved in this paper, where the decay of correlations of the two-dimensional random field Ising model was investigated.
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