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The specific heat (Cm) and optical birefringence (\Delta n) for the magneticpercolation threshold system Fe(0.25)Zn(0.75)F2 are analyzed with the aid ofMonte Carlo (MC) simulations. Both \Delta n and the magnetic energy (Um) aregoverned by a linear combination of near-neighbor spin-spin correlations, whichwe have determined for \Delta n using MC simulations modeled closely after thereal system. Near a phase transition or when only one interaction dominates,the temperature derivative of the birefringence [{d(\Delta n)}/{dT}] isexpected to be proportional Cm since all relevant correlations necessarily havethe same temperature dependence. Such a proportionality does not hold forFe(0.25)Zn(0.75)F2 at low temperatures, however, indicating that neithercondition above holds. MC results for this percolation system demonstrate thatthe shape of the temperature derivative of correlations associated with thefrustrating third-nearest-neighbor interaction differs from that of thedominant second-nearest-neighbor interaction, accurately explaining theexperimentally observed behavior quantitatively.Comment: 16 pages, 5 figure

physical review. b, condensed matter

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Specific heat and optical birefringence ofFe0.25Zn0.75F<…