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The geometrically-averaged density of states as a measure of localization

Yun Song·W. A. Atkinson·R. Wortis
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Abstract

Motivated by current interest in disordered systems of interacting electrons, the effectiveness of the geometrically averaged density of states, $ρ_g(ω)$, as an order parameter for the Anderson transition is examined. In the context of finite-size systems we examine complications which arise from finite energy resolution. Furthermore we demonstrate that even in infinite systems a decline in $ρ_g(ω)$ with increasing disorder strength is not uniquely associated with localization.

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Yun Song, W. A. Atkinson, R. Wortis. 2007-06-22. The geometrically-averaged density of states as a measure of localization. https://doi.org/10.1103/physrevb.76.045105

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