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Propagation probabilities at the Anderson transition point in the strong multifractality regime
Philipp Snajberk (LMU)
07.10.2011 at 10:15
Using a model of the critical almost diagonal random matrix theory, we study propagation probabilities for disordered systems of different symmetry classes at (or close to) the point of Anderson transition in the strong multifractality regime. This regime cannot be described by the supermatrix sigma-model. Therefore, we use an alternative approach: a supersymmetric virial expansion (VE). Leading terms of the VE agree with a general scaling analysis by Chalker. Our most important result is that we are able to describe a crossover from weak to strong multifractality.
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