Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exact solution of the Falicov-Kimball model with dynamical mean-field
  theory   The Falicov-Kimball model was introduced in 1969 as a statistical model for
metal-insulator transitions; it includes itinerant and localized electrons that
mutually interact with a local Coulomb interaction and is the simplest model of
electron correlations. It can be solved exactly with dynamical mean-field
theory in the limit of large spatial dimensions which provides an interesting
benchmark for the physics of locally correlated systems. In this review, we
develop the formalism for solving the Falicov-Kimball model from a
path-integral perspective, and provide a number of expressions for single and
two-particle properties. We examine many important theoretical results that
show the absence of fermi-liquid features and provide a detailed description of
the static and dynamic correlation functions and of transport properties. The
parameter space is rich and one finds a variety of many-body features like
metal-insulator transitions, classical valence fluctuating transitions,
metamagnetic transitions, charge density wave order-disorder transitions, and
phase separation. At the same time, a number of experimental systems have been
discovered that show anomalies related to Falicov-Kimball physics [including
YbInCu4, EuNi2(Si[1-x]Gex)2, NiI2 and TaxN].

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The categories of this paper are: econ
30
The categories of this paper are: q-alg
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The categories of this paper are: quant-ph
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ph
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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: bayes-an
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The categories of this paper are: supr-con
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The categories of this paper are: atom-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: funct-an
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The categories of this paper are: hep-lat
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The categories of this paper are: eess