TL;DR
This paper provides a comprehensive review of the Falicov-Kimball model, highlighting its mathematical structure and significance in condensed matter physics.
Contribution
It offers an in-depth synthesis of the model's theoretical foundations and applications, serving as a valuable reference for researchers.
Findings
Summarizes key mathematical properties of the model
Discusses various physical phenomena described by the model
Highlights open problems and future research directions
Abstract
This is a review for Elsevier's Encyclopedia of mathematical physics.
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