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We resolve an apparent contradiction between numeric and analytic results forone-dimensional disordered systems with power-law spectral correlations. Theconflict arises when considering rigorous results that constrain the set ofcorrelation functions yielding metallic states to those with non-zero values inthe thermodynamic limit. By analyzing the scaling law for a model correlateddisorder that produces a mobility edge, we show that no contradiction exists asthe correlation function exhibits strong anticorrelations in the thermodynamiclimit. Moreover, the associated scaling function reveals a size-dependentcorrelation with a smoothening of disorder amplitudes as the system sizeincreases.

Anticorrelations from power-law spectral disorder and conditions for an Anderson transition