Pure scaling operators at the integer quantum Hall plateau transition
Roberto Bondesan, Universität Köln
Stationary wave functions at the transition between plateaus of the integer quantum Hall effect are known to exhibit multi-fractal statistics. In this talk I will discuss this critical behavior for the case of scattering states of the Chalker-Coddington model with point contacts. I will argue that moments formed from the wave amplitudes of critical scattering states decay as pure powers of the distance between the points of contact and observation. These moments in the continuum limit are proposed to be correlation functions of primary fields of an underlying conformal field theory. Characterizations of such a theory and extensions of our methods to other systems will be presented. This is joint work in collaboration with D. Wieczorek (Cologne) and M. Zirnbauer (Cologne).