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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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Random Field Models for Relaxor Ferroelectric Behavior

TL;DR: In this article, a four-state clock model with a type of random field on simple cubic lattices is studied, where the two random-field Ising model components are coupled and a large peak in the structure factor appears at small k for temperatures well above the transition to long-range order.
Journal ArticleDOI

Neutron and x-ray diffraction study of cubic [111] field-cooled Pb(Mg 1/3 Nb 2/3 )O 3

TL;DR: In this paper, a structural transition from a cubic phase to a rhombohedral phase was observed in the relaxor ferroelectric (PMN) under an applied electric field, and it was shown that PMN represents an extreme example of the two-length scale problem.
Journal ArticleDOI

Many-Body Localization: Stability and Instability

TL;DR: In this paper, a nonperturbative construction of local integrals of motion (LIOMs) for a weakly interacting spin chain in one dimension, under a physically reasonable assumption on the statistics of eigenvalues, is presented.
Journal ArticleDOI

Quasi-long range order in glass states of impure liquid crystals, magnets, and superconductors

TL;DR: In this article, the authors consider glass states of several disordered systems: vortices in impure superconductors, amorphous magnets, and nematic liquid crystals in random porous media and demonstrate that at weak disorder and low temperatures quasi-long range order emerges.
Patent

Enhanced hard bias in thin film magnetoresistive sensors with perpendicular easy axis growth of hard bias and strong shield-hard bias coupling

TL;DR: In this paper, a hard bias structure for longitudinally biasing a free layer in a MR sensor is disclosed that is based on HB easy axis growth perpendicular to an underlying seed layer.
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