Abstract
These three metallic systems do not exhibit any magnetic ordering despite experiments showing the existence of localized moments with large anti-ferromagnetic exchange: we propose that this is a direct consequence of the strong geometric frustration since Y(Sc)Mn2 and LiV2O4 have the pyrochlore structure, while β-Mn has a more complicated frustrated structure. Another similarity between these compounds is their very large specific-heat coefficient γ = C/T (420 mJ mol1 K2 for LiV2O4). Several explanations have been proposed for this "3d heavy-fermion behavior", including a 3d-Kondo effect. However, the similarities between the three compounds indicate that frustration plays a big role. We describe a new model in which we take into account the existence of two types of 3d-electrons (localized and itinerant) and a frustrated anti-ferromagnetic exchange between the localized 3d electrons. PACS Nos.: 75.10Hk, 75.50Ee, 75.40Cx, 75.40-s
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