Ordering Phenomena in Transition Metal Oxides

Strong coupling approach to quantum frustrated magnetism   

The interplay of frustration and quantum fluctuations in antiferromagnets is a very active field of research, with a rapidly growing number of compounds whose properties are a real challenge to theorists. While semi-classical approaches have their merit, strong coupling theories, which start from an exact description of small sub-systems, appear to be the most promising route to describe systems without magnetic long-range order. In this talk, I will review recent successes of this approach, in particular in explaining the occurence of magnetization plateaux in some frustrated magnets and in unveiling the properties of odd-legged spin tubes.