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Anderson Orthogonality Catastrophe in Disordered Systems

Yuval Gefen·Richard Berkovits·Igor V. Lerner·Boris L. Altshuler
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Abstract

We study the Anderson orthogonality catastrophe (AOC) in finite conductors with diffusive disorder. The disorder averaged logarithm of $χ$, the overlap between the ground states before and after adding a static impurity, is found to depend nonmonotonically on the disorder. In two dimensions $<\lnχ^{-1}> \propto \ln^2 N$ in the weak disorder limit, thus showing a stronger dependence on the number of electrons $N$ than in the canonical AOC. A very broad tail of the distribution of $χ$, found numerically, is a signature of the importance of a few-level statistics at the Fermi energy.

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Yuval Gefen, Richard Berkovits, Igor V. Lerner, Boris L. Altshuler. 2001-06-27. Anderson Orthogonality Catastrophe in Disordered Systems. https://doi.org/10.1103/physrevb.65.081106

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