Topology of Bands in Solids : From Insulators to Dirac Matter
  Bloch theory describes the electronic states in crystals whose energies are distributed as bands over the Brillouin zone. The electronic states corresponding to a (few) isolated energy band(s) thus constitute a vector bundle. The topological properties of these vector bundles provide new characteristics of the corresponding electronic phases. We review some of these properties in the case of (topological) insulators and semi-metals. 
David Carpentier
cond-mat.str-el cond-mat.mes-hall