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Journal ArticleDOI

Random-Field Instability of the Ordered State of Continuous Symmetry

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)

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Journal ArticleDOI

Dielectric properties of 0.4Na0.5Bi0.5TiO3–(0.6-x)SrTiO3–xPbTiO3 solid solutions

TL;DR: In this paper, the linear and nonlinear dielectric permittivity of 0.4 Na 0.5 Bi 0.1, 0.6 -x ) SrTiO 3 − xPbTiO3 solid solutions (x = 0.05,0.15).
Book ChapterDOI

Theory of Manganites

TL;DR: Dagotto et al. as mentioned in this paper discussed the present status of theories for manganites and the complex phase diagrams of these materials, with a variety of spin-charge-orbital ordering tendencies, using mean-field and Monte Carlo simulation techniques.
Journal ArticleDOI

Critical scaling in random-field systems: 2 or 3 independent exponents?

TL;DR: In this article, it was shown that the critical scaling behavior of random field systems with short-range interactions and disorder correlations cannot be described in general by only two independent exponents, contrary to previous claims.
Journal ArticleDOI

The effect of quenched disorder in neutral theories

TL;DR: It is shown that the presence of quenched disorder in nonlinear voter models does not allow the separation of the up?down (Ising-like) symmetry breaking from the active-to-absorbing phase transition in low-dimensional systems.
Journal ArticleDOI

The cluster glass route of relaxor ferroelectrics

TL;DR: In this article, the mesoscopic cluster glass ground states are shown to have critical glass dynamics at Tg and stretched exponential relaxation, memory and rejuvenation upon aging below Tg.
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