Any advice about the Thouless formula in weak localization?

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Christo Ananth

Perturbative treatment of the disorder when applied for an open chain embedded in an infinite non-disordered chain recovers the Thouless formula for the zero-field localization length

Surender Pratap

i want to do in case of when disorder is there in our system.

thanks

In the weak-disorder situation of most interest, a universal finite-size scaling law describes best the crossover between the ballistic and localized regimes. The associated crossover exponent 2/3 is dictated by the anomalous band-edge scaling characterizing the most localized energy eigenstates.

can you send me one paper where it is mentioned like this.