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Physical Review B
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Physical Review B
Article . 2007 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 2006
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Geometrically averaged density of states as a measure of localization

Authors: Song, Yun; Atkinson, W. A.; Wortis, R.;

Geometrically averaged density of states as a measure of localization

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.

8 pages, 8 figures; revised text and figures

Related Organizations
Keywords

Condensed Matter - Strongly Correlated Electrons, Strongly Correlated Electrons (cond-mat.str-el), FOS: Physical sciences, Disordered Systems and Neural Networks (cond-mat.dis-nn), Condensed Matter - Disordered Systems and Neural Networks

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    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
23
Average
Top 10%
Top 10%
Green
bronze
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