Multifractality of eigenfunctions in spin chains
  We investigate different one-dimensional quantum spin-1/2 chain models and by combining analytical and numerical calculations prove that their ground state wave functions in the natural spin basis are multifractals with, in general, non-trivial fractal dimensions. 
Yasar Yilmaz Atas and Eugene Bogomolny
cond-mat.stat-mech math-ph math.MP