The nuclear contribution to the specific heat originates from the combination of a nuclear electric quadrupole interaction and a nuclear magnetic hyperfine interaction of the magnetic atoms embedded in the crystalline lattice structure. We have estimated the nuclear hyperfine level patterns of the nuclear ground state \(I_{g} = 3/2^{-}\) and the first excited state \(I_{ex} = 5/2^{+}\) at 86.5 keV of Mossbauer-active Gd155 nucleus of Gd-based pyrochlores Gd2M2O7 (M = Ti, Sn, Hf, Zr). The nuclear quadrupole and hyperfine interactions are scaled in accordance with the ratios of quadrupole and magnetic moments of \(I_{g} = 3/2^{-}\) state of Gd155 and Gd157 nuclei to get the contribution from Gd157 nucleus of Gd2M2O7 to the hyperfine specific heat Chf appropriate to its relative isotopic abundance. It is found that Chf(T) shows a Schottky hump around 6–8 mK for these pyrochlores. At temperatures much higher than the hyperfine level splitting, Chf behaves as AT − 2 with A ∼ 1–2 × 10 − 4 JK/mole-Gd which is consistent with experimental results.
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