Measurement of static critical exponents for a structural Ising-model phase transition with random strains: Dy(<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">As</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="italic">x</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">V</mml:mi></mml:mro

Reza, K. A.; Taylor, Donald R.

doi:10.1103/physrevb.46.11425

Cited by 11 publications

(2 citation statements)

References 22 publications

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“…Kleemann 118 has reviewed random-field domain states in ferroelectric and structural phase transitions. The critical behavior of the RFIM structural phase transition in DyAs x V 1−x O 4 has been studied extensively 119 and compared to the dilute antiferromagnet. Neutron and light scattering experiments have been done on binary mixtures in silica gels 120 .…”

Section: Other Rfim Systemsmentioning

confidence: 99%

Experiments on the Random Field Ising Model

Belanger¹

1997

Series on Directions in Condensed Matter Physics

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New advances in experiments on the random-field Ising model, as realized in dilute antiferromagnets, have brought us much closer to a full characterization of the static and dynamic critical behavior of the unusual phase transition in three dimensions (d = 3). The most important experiments that have laid the ground work for our present understanding are reviewed. Comparisons of the data with Monte Carlo simulations of the d = 3 critical behavior are made. We review the current experimental understanding of the destroyed d = 2 transition and the experiments exploring the d = 2 metastability at low T . Connections to theories most relevant to the interpretations of all the experiments are discussed.

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Section: Other Rfim Systemsmentioning

confidence: 99%

Experiments on the Random Field Ising Model

Belanger¹

1997

Series on Directions in Condensed Matter Physics

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“…Random fields due to As/V substitutions in DyVO 4 , which has d = 3 Ising exponents, appeared to increase the susceptibility exponent γ as expected but had no effect on the order parameter exponent β. 7 The interpretation of the effects of random fields in the As-doped DyVO 4 system is complicated by the fact that the true critical behaviour of pure DyVO 4 should be classical due to the long range strain coupling. However because of the relative weakness of the long range to short range interactions, classical exponents are not observable at accessible temperatures |t| ≥ 10 −2 , where t = (T − T D )/T D is the reduced temperature, 8,9 leading to uncertainty on what the effects of the random fields would be.…”

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Crossover from classical to random-field critical exponents in As-dopedTbVO4

2000

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Using birefringence techniques we have measured the critical exponents β, γ, and δ in As-doped TbVO4, a structural realization of the random-field Ising model where random strain fields are introduced by V-As size mismatch. For pure TbVO4 we observe the expected classical critical exponents, while for a mixed sample with 15% As concentration our results are β = 0.31 ± 0.03, γ = 1.22±0.07 and δ = 4.2±0.7. These values are consistent with the critical exponents for the short range pure Ising model in three dimensions in agreement with a prediction by Toh. The susceptibility data showed a crossover with temperature from classical to random field critical behaviour.

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