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
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Journal ArticleDOI
Random field Ising model and Parisi-Sourlas supersymmetry. Part II. Renormalization group
TL;DR: In this article, the authors revisited perturbative RG analysis in the replicated Landau-Ginzburg description of the Random Field Ising Model near the upper critical dimension 6.7.
Journal ArticleDOI
Phase diagrams of random-field Ising systems
TL;DR: In this article, the random-field Ising model may be tuned to obtain two distinct scenarios of phase diagram topology, and explicit evidence for this is presented in a numerically exact analysis in three dimensions and on a Bethe lattice, which allows the effects of temperature, coordination number, and asymmetry in the field distribution.
Journal ArticleDOI
Critical behaviour of random compressible magnets
L. Sasvári,B. Tadić +1 more
TL;DR: In this article, the critical properties of a compressible random magnet are studied using renormalization group methods, coupled to quenched disorder and to the elastic fluctuations of the anisotropic solid.
Posted Content
Study of the first-order phase transition in the classical and quantum random field Heisenberg model on a simple cubic lattice
TL;DR: In this paper, the phase diagram of the Heisenberg ferromagnetic model in the presence of a magnetic random field was studied within the framework of the effective field theory in finite cluster.
Journal ArticleDOI
Random field effects on the phase diagrams of spin-1/2 Ising model on a honeycomb lattice
TL;DR: In this paper, the Ising model with quenched random magnetic fields is examined for single Gaussian, bimodal and double Gaussian random field distributions by introducing an effective field approximation that takes into account the correlations between different spins that emerge when expanding the identities.
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