Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamical Mean-Field Theory of Strongly Correlated Electron Systems   Dynamical Mean-Field Theory (DMFT) has opened new perspectives for the
investigation of strongly correlated electron systems and greatly improved our
understanding of correlation effects in models and materials. In contrast to
Hartree-Fock-type approximations the mean field of DMFT is dynamical, whereby
local quantum fluctuations are fully taken into account. DMFT becomes exact in
the limit of high spatial dimensions or coordination number. Using DMFT the
dynamics of correlated electron systems can be investigated non-perturbatively
at all interaction strengths, electron densities and temperatures. By merging
density functional theory with DMFT a powerful method for the calculation of
the properties of correlated electron materials has become available, which is
applicable to bulk systems and heterostructures, including topological states
of matter. The inclusion of non-local correlations into DMFT makes it possible
to explore unconventional superconductivity and the critical behavior at
thermal or quantum phase transitions. By generalizing DMFT to non-equilibrium
states also the real-time dynamics of correlated systems can be investigated.
In this brief review the foundations and current status of DMFT are discussed
along with characteristic physical insights obtained with this approach.

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The categories of this paper are: math-ph
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The categories of this paper are: solv-int
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The categories of this paper are: q-bio
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The categories of this paper are: q-fin
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The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
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The categories of this paper are: adap-org
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The categories of this paper are: comp-gas
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The categories of this paper are: dg-ga
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The categories of this paper are: stat
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: math
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The categories of this paper are: patt-sol
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The categories of this paper are: gr-qc
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The categories of this paper are: alg-geom