Ordering in the dilute weakly anisotropic antiferromagnet<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">Mn</mml:mi></mml:mrow><mml:mrow><mml:mn>0.35</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">Zn</mml:mi></mml:mrow><mml:mrow><mml:mn>0.65</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">F</mml:mi></mml:mrow><mml:mrow>

Montenegro, F. C.; Belanger, D. P.; Slanic, Z.; Fernandez-Baca, J. A.

doi:10.1103/physrevb.61.14681

Cited by 3 publications

(1 citation statement)

References 41 publications

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“…We were able in this system to explore [33], with available fields, the H − T phase diagram, including the spin-glass-like behavior at high fields and the low-field conventional RFIM behavior. The paramagnetic phase boundary exhibits curvature characteristic of the RFIM at low H and a spin-glass at high H.…”

Section: Magnetic Ordering In the Weakly Anisotropic Antiferromagnetmentioning

confidence: 99%

The random-field Ising model at high magnetic concentration

Belanger¹

2005

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During the project period we have largely completed our characterization of the critical behavior of the random-field Ising model (RFIM) transition in three dimensions (d = 3). This has been a long sought-after goal, the transition having been first observed in the early 1980's [1, 2]. Our thinking about the phase transition in the RFIM was greatly advanced when we discovered a few years ago that one has to work at concentrations x > x v = 0.76, the magnetic vacancy percolation threshold concentration [3, 4]. As described below, at lower concentrations, the transition is obscured by metastable domains. Once we realized this, we were able devote considerable effort to understanding the RFIM critical behavior to test theories and predictions from computer simulations. We applied neutron scattering, x-ray scattering, optical, specific heat, and other techniques to achieve a nearly complete characterization of this important phase transition, devoting most of our effort to one particular high magnetic concentration crystal Fe 0.85 Zn 0.15 F 2 . The Fe x Zn 1−x F 2 system has been well documented and studied as an ideal realization of the RFIM when subjected to an applied field along its easy axis. The significance of this particular phase transition is that it represents one of the major classes of randomness in ordering processes, distinct from random-exchange and spin-glass ordering. This baffling problem of ordering in the presence of random fields has now been brought by our experiments to a much higher level of understanding.

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Section: Magnetic Ordering In the Weakly Anisotropic Antiferromagnetmentioning

confidence: 99%

The random-field Ising model at high magnetic concentration

Belanger¹

2005

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Magnetic behavior of the diluted antiferromagnet Mn0.39Zn0.61F2 at strong fields

Rosales‐Rivera¹,

Ferreira²,

Montenegro³

et al. 2001

Journal of Magnetism and Magnetic Materials

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Critical phenomena and renormalization-group theory

2002

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We review results concerning the critical behavior of spin systems at equilibrium. We consider the Ising and the general O(N)-symmetric universality classes, including the N --> 0 limit that describes the critical behavior of self-avoiding walks. For each of them, we review the estimates of the critical exponents, of the equation of state, of several amplitude ratios, and of the two-point function of the order parameter. We report results in three and two dimensions. We discuss the crossover phenomena that are observed in this class of systems. In particular, we review the field-theoretical and numerical studies of systems with medium-range interactions. Moreover, we consider several examples of magnetic and structural phase transitions, which are described by more complex Landau-Ginzburg-Wilson Hamiltonians, such as N-component systems with cubic anisotropy, O(N)-symmetric systems in the presence of quenched disorder, frustrated spin systems with noncollinear or canted order, and finally, a class of systems described by the tetragonal Landau-Ginzburg-Wilson Hamiltonian with three quartic couplings. The results for the tetragonal Hamiltonian are original, in particular we present the six-loop perturbative series for the beta-functions. Finally, we consider a Hamiltonian with symmetry 0(n(1))circle plus 0(n(2)) that is relevant for the description of multicritical phenomena. (C) 2002 Elsevier Science B.V. All rights reserved

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Ordering in the dilute weakly anisotropic antiferromagnetMn0.35Zn0.65F

Cited by 3 publications

References 41 publications

The random-field Ising model at high magnetic concentration

The random-field Ising model at high magnetic concentration

Magnetic behavior of the diluted antiferromagnet Mn0.39Zn0.61F2 at strong fields

Critical phenomena and renormalization-group theory

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