Abstract
We consider spatial correlations of local density of states in disordered mesoscopic samples at different length scales. By coarse graining over boxes of size L b, ℓ ≲ L b ⪡ L, we obtain cumulants of the box density of states from these correlations (here ℓ is the mean free path, and L is the sample size). By applying renormalisation group analysis we show that the cumulants are characterised by multifractal behaviour similar to that of inverse participation numbers in an isolated disordered sample.
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