The random field Ising model
D. P. Belanger,A. P. Young +1 more
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TLDR
In this paper, the current status of random field systems, particularly those with Ising symmetry, is discussed, and the critical behavior in three dimensions is not very well understood, both in the critical region and the low temperature phase.About:
This article is published in Journal of Magnetism and Magnetic Materials.The article was published on 1991-11-01 and is currently open access. It has received 156 citations till now. The article focuses on the topics: Ising model & Random field.read more
Citations
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Training of the exchange-bias effect: A simple analytic approach
TL;DR: In this paper, the training of the exchange bias effect in antiferro/ferromagnetic heterostructures is considered in the theoretical framework of spin configurational relaxation, which is activated through consecutively cycled hysteresis loops.
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The relaxor enigma — charge disorder and random fields in ferroelectrics
TL;DR: In this article, the dimension of the order parameter decides upon whether the ferroelectric phase transition is destroyed (e.g. in cubic PbMg1/3Nb2/3O3, PMN) or modified towards RF Ising model behavior, and it is shown that below T c ≈ 350 K RF pinning of the walls of frozen-in nanodomains gives rise to non-Debye dielectric response.
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Critical dynamics: a field-theoretical approach
Reinhard Folk,G. Moser +1 more
TL;DR: In this paper, a review of the progress made in dynamic bulk critical behavior in equilibrium in the last 25 years since the review of Halperin and Hohenberg is presented.
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Driven interface depinning in a disordered medium
TL;DR: Nattermann et al. as discussed by the authors considered a Langevin-type Eq. which is expected to be valid close to the depinning transition of an interface in a statistically isotropic medium.
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Critical exponents of a three dimensional weakly diluted quenched Ising model
TL;DR: In this article, universal and nonuniversal critical exponents of a three-dimensional Ising system with weak quenched disorder are discussed, with a focus on the analysis of divergent series obtained.
References
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Crystal statistics. I. A two-dimensional model with an order-disorder transition
TL;DR: In this article, the eigenwert problem involved in the corresponding computation for a long strip crystal of finite width, joined straight to itself around a cylinder, is solved by direct product decomposition; in the special case $n=\ensuremath{\infty}$ an integral replaces a sum.
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Theory of Dynamic Critical Phenomena
TL;DR: The renormalization group theory has been applied to a variety of dynamic critical phenomena, such as the phase separation of a symmetric binary fluid as mentioned in this paper, and it has been shown that it can explain available experimental data at the critical point of pure fluids, and binary mixtures, and at many magnetic phase transitions.
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Spin glasses: Experimental facts, theoretical concepts, and open questions
Kurt Binder,A. P. Young +1 more
TL;DR: In this article, the most characteristic properties of spin glass systems are described, and related phenomena in other glassy systems (dielectric and orientational glasses) are mentioned, and a review summarizes recent developments in the theory of spin glasses, as well as pertinent experimental data.
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Random-Field Instability of the Ordered State of Continuous Symmetry
Yoseph Imry,Shang-keng Ma +1 more
TL;DR: 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.
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Stability of the Sherrington-Kirkpatrick solution of a spin glass model
TL;DR: The stationary point used by Sherrington and Kirkpatrick (1975) in their evaluation of the free energy of a spin glass by the method of steepest descent is examined carefully in this article, and it is found that although this point is a maximum of the integrand at high temperatures, it is not a maximum in the spin glass phase nor in the ferromagnetic phase at low temperatures.
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