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We present specific heat data on three samples of the dilute Ising magnet$\HoYLF$ with $x = 0.018$, 0.045 and 0.080. Previous measurements of the acsusceptibility of an $x = 0.045$ sample showed the Ho$^{3+}$ moments to remaindynamic down to very low temperatures and the specific heat was found to haveunusually sharp features. In contrast, our measurements do not exhibit thesesharp features in the specific heat and instead show a broad feature, for allthree samples studied, which is qualitatively consistent with a spin glassstate. Integrating $C/T$, however, reveals an increase in residual entropy withlower Ho concentration, consistent with recent Monte Carlo simulations showinga lack of spin glass transition for low x.Comment: 10 pages, 3 figurs, accepted for publication in Phys. Rev. Let

physical review letters

Specific Heat of the Dilute Ising Magnet<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>LiHo</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:msub><mml:mi mathvariant="normal">Y</mml:mi><mml:mrow><mml:mn>1</mml:mn><mml:mo>−</mml:mo><mml:mi>x</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mi mathvariant="normal">F</mml:mi><mml:mn>4</mml:mn></mml:msub></mml:math>

Specific Heat of the Dilute Ising MagnetLiHoxY1−xF4