Frustrated rare earth magnetism: Spin glasses, spin liquids and spin ices in pyrochlore oxides

Rare earth-based materials have played a central role in recent efforts to understand the very unconventional behavior of geometrically frustrated magnetic materials. In particular, rare earth transition metal oxides with the pyrochlore and related structures have been investigated extensively. In the pyrochlore structure both the rare earth and the transition metal sublattices have a topology consisting of corner-sharing tetrahedra and are, …