Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Critical scaling of the renormalized single-particle wave function near
  the Mott-Hubbard transition   We present a quantum critical behavior of the renormalized single-particle
Wannier function, calculated in the Gutzwiller correlated state near the
insulator-metal transition (IMT) for cubic lattices. The wave function size and
its maximum, as well as the system energy scale with increasing lattice
parameter $R$ as $R^{n}$. Such scaling is interpreted as the evidence of a
dominant role of the Coulomb repulsion. Relation of the insulator-metal
transition lattice-parameter value $R=R_{C}$ to the original {\em Mott
criterion\} is obtained. The method is tested by comparing our results with the
exact approach for the Hubbard chain.

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The categories of this paper are: math-ph
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The categories of this paper are: econ
3
The categories of this paper are: physics
19
The categories of this paper are: eess
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The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
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The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
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The categories of this paper are: hep-th
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The categories of this paper are: chem-ph
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The categories of this paper are: chao-dyn