  Central to our understanding of quantum many particle physics are two ideas
due to Landau. The first is the notion of the electron as a well-defined
quasiparticle excitation in the many body state. The second is that of the
order parameter to distinguish different states of matter. Experiments in a
number of correlated materials raise serious suspicions about the general
validity of either notion. A growing body of theoretical work has confirmed
these suspicions, and explored physics beyond Landau's paradigms. This article
provides an overview of some of these theoretical developments.
