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Scattering at the Anderson transition: Power-law banded random matrix model
We analyze the scattering properties of a periodic one-dimensional system at criticality represented by the so-called power-law banded random matrix model at the metal-insulator transition. We focus on the scaling of Wigner delay times $\ensuremath{\tau}$ and resonance widths $\ensuremath{\Gamma}$. We find that the typical values of $\ensuremath{\tau}$ and $\ensuremath{\Gamma}$ (calculated …