scispace - formally typeset
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)

read more

Citations
More filters
Journal ArticleDOI

Magnetoelectric dipole interaction in RF-magnetron sputtered (1 − x) BiFeO3–xBaTiO3 thin films

TL;DR: In this article, a multiferroic thin film optimized for x ǫ = 0.1 and optimized for 0.3 GHz with applied magnetic field was analyzed for multi-functional spintronic devices.
Journal ArticleDOI

High Curie temperature Pb(Fe1/2Nb1/2)O3-based ferroelectrics: 0.40Pb(Fe1/2Nb1/2)O3-0.34PbZrO3-0.26PbTiO3

TL;DR: In this article, the frequency and temperature dependence of the dielectric response and polarization relaxation were investigated in high-temperature high-power-density electrotransducers and high temperature capacitors.
Journal ArticleDOI

A comparison of random anisotropy and spin glass properties in several amorphous rare‐earth alloys

TL;DR: In this paper, magnetic measurements on the amorphous (a) alloys a−Dy0.52Cu0.48, a−Gd0.37Al0.63, and a´Gd 0.52Ag0.68 were reported, and compared to a recent theory for random anisotropy systems.
Journal ArticleDOI

The XY model with random p-fold anisotropy: Dynamics and statics near two dimensions

TL;DR: In this paper, the phase structure and renormalization group behavior of the XY model with p -fold random anisotropy was studied via time-dependent Langevin formulation and the statics and dynamics of the model were derived in two dimensions and extended to 2 + ϵ dimensions without the use of replicas.
Related Papers (5)