Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A mean-field theory of Anderson localization   Anderson model of noninteracting disordered electrons is studied in high
spatial dimensions. We find that off-diagonal one- and two-particle propagators
behave as gaussian random variables w.r.t. momentum summations. With this
simplification and with the electron-hole symmetry we reduce the parquet
equations for two-particle irreducible vertices to a single algebraic equation
for a local vertex. We find a disorder-driven bifurcation point in this
equation signalling vanishing of diffusion and onset of Anderson localization.
There is no bifurcation in $d=1,2$ where all states are localized. A natural
order parameter for Anderson localization pops up in the construction.

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The categories of this paper are: cs
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The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
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The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-ex
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The categories of this paper are: quant-ph
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The categories of this paper are: adap-org
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The categories of this paper are: supr-con
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The categories of this paper are: math
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The categories of this paper are: hep-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-th
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The categories of this paper are: eess