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

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

2006-09-22

arxiv.org/abs/cond-mat/0609590v2

Phys. Rev. B 76, 045105 (2007)

Physics

Condensed Matter

Strongly Correlated Electrons

8 pages, 8 figures; revised text and figures

Scientific paper

10.1103/PhysRevB.76.045105

Motivated by current interest in disordered systems of interacting electrons, the effectiveness of the geometrically averaged density of states, $\rho_g(\omega)$, 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 $\rho_g(\omega)$ with increasing disorder strength is not uniquely associated with localization.

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