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
Finite-size critical scaling in Ising spin glasses in the mean-field regime.
Timo Aspelmeier,Helmut G. Katzgraber,Helmut G. Katzgraber,Helmut G. Katzgraber,Derek Larson,M. A. Moore,Matthew Wittmann,Joonhyun Yeo +7 more
TL;DR: The finite-size effects near the spin-glass transition in zero field and at the de Almeida-Thouless transition in a field by Monte Carlo methods and by analytical approximations are studied.
Journal ArticleDOI
The nature of the different zero-temperature phases in discrete two-dimensional spin glasses: entropy, universality, chaos and cascades in the renormalization group flow
Thomas Jörg,Florent Krzakala +1 more
TL;DR: In this article, the authors discuss the properties of spin glasses in the context of the Migdal-Kadanoff renormalization group and show that the properties depend strongly on the way the zero-temperature limit is taken.
Journal ArticleDOI
Quantum Hall Valley Nematics
TL;DR: In this paper, the formation of a topologically insulating quantum Hall state is accompanied by the spontaneous breaking of a point-group symmetry that combines a spatial rotation with a permutation of valley indices.
Journal ArticleDOI
Random anisotropy nematic model: nematic-non-nematic mixture.
V. Popa-Nita,Samo Kralj +1 more
TL;DR: It is shown that the onset of orientational ordering increases the phase separation tendency, and the difference between the paranematic and speronematic ordering decreases, Consequently the structure of the phase-separated pattern can be much more complex in comparison to the Lambda=0 case.
Journal ArticleDOI
Universality aspects of the trimodal random-field Ising model
TL;DR: In this article, the critical properties of the d = 3 random-field Ising model with an equal-weight trimodal distribution at zero temperature were investigated and a new approach based on the sample-to-sample fluctuation of the order parameter of the system and proper finite-size scaling capabilities was proposed.
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