Abstract
The nature of itinerant electrons on various frustrated lattices is discussed from both a materials and a theoretical point of view. Many metallic transition-metal oxides, intermetallic alloys, and organic compounds are reviewed, which show interesting phenomena such as superconductivity, a metal-insulator transition, anomalous magnetoresistance, and heavy-fermion-like behavior. Of particular interest in this context are the superconductors α-Cd2Re2O7 and β-AOs2O6, which have a pyrochlore lattice, and Na x CoO2 ⋅yH2O and (BEDT-TTF)2 X, which have triangular lattices, where some effects of frustration on the mechanisms of superconductivity may be evident. Theoretically, RVB superconductivity is discussed to be the most interesting and promising mechanism for unconventional superconductivity on frustrated lattices, although there remains as yet no direct experimental evidence for such RVB-type superconductivity in real materials. Strong- and weak-coupling theories, and spin- and charge-fluctuation mechanisms for superconductivity are reviewed. Possible mechanisms for the spin-liquid state observed in some organic compounds are also discussed.
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Hiroi, Z., Ogata, M. (2011). Metallic and Superconducting Materials with Frustrated Lattices. In: Lacroix, C., Mendels, P., Mila, F. (eds) Introduction to Frustrated Magnetism. Springer Series in Solid-State Sciences, vol 164. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-10589-0_22
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