Surface criticality and multifractality at localization transitions
  We develop the concept of surface multifractality for localization-delocalization (LD) transitions in disordered electronic systems. We point out that the critical behavior of various observables related to wave functions near a boundary at a LD transition is different from that in the bulk. We illustrate this point with a calculation of boundary critical and multifractal behavior at the 2D spin quantum Hall transition and in a 2D metal at scales below the localization length. 
A. R. Subramaniam, I. A. Gruzberg, A. W. W. Ludwig, F. Evers, A.   Mildenberger, and A. D. Mirlin