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The two main characteristics of the holmium ions in HoF_3 are that theirlocal electronic properties are dominated by two singlet states lying wellbelow the remaining 4f-levels, and that the classical dipole-coupling is anorder of magnitude larger than any other two-ion interactions between theHo-moments. This combination makes the system particularly suitable for testingrefinements of the mean-field theory. There are four Ho-ions per unit cell andthe hyperfine coupled electronic and nuclear moments on the Ho-ions order in aferrimagnetic structure at T_C=0.53 K. The corrections to the mean-fieldbehavior of holmium triflouride, both in the paramagnetic and ferrimagneticphase, have been calculated to first order in the high-density 1/z-expansion.The effective medium theory, which includes the effects of the single-sitefluctuations, leads to a substantially improved description of the magneticproperties of HoF_3, in comparison with that based on the mean-fieldapproximation.Comment: 26pp, plain-TeX, JJ

physical review. b, condensed matter

1/<i>z</i>renormalization of the mean-field behavior of the dipole-coupled singlet-singlet system<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">HoF</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>

1/zrenormalization of the mean-field behavior of the dipole-coupled singlet-singlet systemHoF3