Abstract

In a magnetic system, consistent with Griffiths analyticity requirements one can parameterize the equation of state near criticality by writing H = r β δ h ( θ ) , T = r t ( θ ) and the magnetization M = r β m ( θ ) , where T is measured from the critical temperature. For the insulating ferromagnet CrBr 3, the experimental data of Ho and Litster [J.T. Ho, J.D. Litster, Phys. Rev. Lett. 22 (1969) 603] is well fitted by m ( θ ) as a linear function of θ [P. Schofield, J.D. Litster, J.T. Ho, Phys. Rev. Lett. 23 (1969) 1098]. Also Ho and Litster give β = 0.368 , γ = 1.215 and δ = 4.3 . Those critical experiments are very close to the recent 3D Ising results of Zhang [Z.D. Zhang, Philos. Mag. 87 (2007) 5309], namely β = 3 / 8 , γ = 5 / 4 and δ = 13 / 3 . We therefore predict that m ( θ ) will be proportional to θ as a fingerprint of the 3D Ising Hamiltonian.

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