Finite size scaling approach to Anderson localisation

  title={Finite size scaling approach to Anderson localisation},
  author={J L Pichard and G R Sarma},
Using a new and powerful real space renormalisation method recently introduced for phase transitions, we prove numerically that two dimensions are marginal for Anderson localisation. An associated transition is found, presenting close analogies with the Kosterlitz-Thouless transition of the X Y model in two dimensions, while the behaviour in three dimensions is shown to be a standard one with a mobility edge. The accuracy of the method is better than previous approaches in two dimensions and is… CONTINUE READING