Disordered Electrons in a Strong Magnetic Field: Transfer Matrix   Approaches to the Statistics of the Local Density of States
  We present two novel approaches to establish the local density of states as an order parameter field for the Anderson transition problem. We first demonstrate for 2D quantum Hall systems the validity of conformal scaling relations which are characteristic of order parameter fields. Second we show the equivalence between the critical statistics of eigenvectors of the Hamiltonian and of the transfer matrix, respectively. Based on this equivalence we obtain the order parameter exponent $\alpha_0\approx 3.4$ for 3D quantum Hall systems. 
Axel Dohmen, Peter Freche, Martin Janssen (Institut f\"ur Theoretische   Physik, K\"oln, Germany)