Generalized multifractality in two-dimensional disordered systems of chiral symmetry classes

Abstract

Anderson transitions between metals and insulators exhibit fascinating spatial structure, fluctuations, and correlations of electronic wave functions. This structure has been properly characterized by the authors in terms of multifractals with continuous spectra of scaling exponents. In this paper, the authors focus on Anderson transitions in systems with a sublattice (chiral) symmetry. This particular class of Anderson transitions has not been well-studied in the past, and the authors fill this gap with a thorough analytical and numerical study of multifractal spectra in the metallic phase and at the critical point of the Anderson transition.