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
Metastability and Depinning Threshold in the Random Field Ising Model
TL;DR: In this article, a unified description of depinning threshold for domain walls in the random field Ising model is given, where the coherence length Rc ∼ E of the metastable state is proportional to h−vh, where h is the random fields amplitude.
Journal ArticleDOI
Nonlinear susceptibility and phase transition in SrTi 18 O 3
TL;DR: In this paper, the nonlinear dielectric response of a quantum ferroelectric phase transition was measured as a function of temperature and dc bias field strength, and it was shown that in the low-field region, the non-linearity coefficient increased with temperature.
Journal ArticleDOI
A succession of relaxor ferroelectric transitions in Ba0.55Sr0.45TiO3
TL;DR: In this article, the results of frequency dependent dielectric, polarization, and powder x-ray powder diffraction studies in the 300-100K temperature range for Ba0.55Sr0.45TiO3 were presented.
Journal ArticleDOI
Random-mass disorder in the critical Gross-Neveu-Yukawa models
TL;DR: In this article, the authors studied the universal critical properties of the chiral Ising, XY, and Heisenberg GNY models perturbed by quenched random-mass disorder, both uncorrelated or with long-range power-law correlations.
Journal ArticleDOI
The Structural Phase Transition of the Relaxor Ferroelectric 68%PbMg1/3Nb2/3O3-32%PbTiO3
TL;DR: In this paper, the relaxor ferroelectric 0.68PbMg1/3Nb2/3O3-0.32PbTiO3 (0.68PMN)-0.6PT) was studied and the results were qualitatively consistent with the random field model developed to describe the scattering from PMN.
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