Spin orthogonality catastrophe in two-dimensional antiferromagnets and   superconductors
  We compute the spectral function of a spin S hole injected into a two-dimensional antiferromagnet or superconductor in the vicinity of a magnetic quantum critical point. We show that, near van Hove singularities, the problem maps onto that of a static vacancy carrying excess spin S. The hole creation operator is characterized by a new boundary anomalous dimension and a vanishing quasiparticle residue at the critical point. We discuss possible relevance to photoemission spectra of cuprate superconductors near the anti-nodal points. 
Subir Sachdev (Yale), Matthias Troyer (ETH, Zurich) and Matthias Vojta   (Augsburg)