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In the context of many-fermion systems, "correlation" refers to the inadequacy of an independent-particle model.
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For example, in Statistical Mechanics
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M. Holthaus, E. Kalinowski, and K. Kirsten. Condensate fluctuations in trapped Bose gases: canonical vs. microcanonical ensemble
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See references 1-11 cited in [ 5 ] for various measures of fermion correlation, as well as J. Schliemann, J.I. Cirac, M. Kuś, M, Lewenstein, and D. Loss. Quantum correlations in two-fermion systems
2001
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P. Gori-Giorgi and P. Ziesche. Momentum distribution of the uniform electron gas: improved parametrization and exact limits of the cumulant expansion
2002
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P. Zanardi. Quantum entanglement in fermionic lattices
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P. Zanardi and X. Wang. Fermionic entanglement in itinerant systems
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S. Popescu, A.J. Short, and A. Winter. Entanglement and the foundations of statistical mechanics
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A.D. Gottlieb and N.J. Mauser, Properties of nonfreeness: an entropy measure of electron correlation
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C.V. Kraus and J.I. Cirac Generalized HartreeÐFock theory for interacting fermions in lattices: numerical methods
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G.L. Bendazzoli, S. Evangelisti, and A. Monari. Full-Configuration-Interaction study of the metal-insulator transition in a model system: H n
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V. Vedral. The role of relative entropy in quantum information theory
2002
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G. Vidal, J.I. Latorre, E. Rico, and A. Kitaev. Entanglement in quantum critical phenomena
2003
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S.-J. Gu, S.-S. Deng, Y.-Q. Li, and H.-Q. Lin Entanglement and quantum phase transition in the extended Hubbard model
2004
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A.D. Gottlieb and N.J. Mauser. New measure of electron correlation
2005
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D. Larsson and H. Johannesson. Single-site entanglement of fermions at a quantum phase transition
2006
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P. Hayden, D.W. Leung, and A. Winter. Aspects of generic entanglement
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Cited in the paper.
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K. Byczuk, J. Kuneš, W. Hofstetter, and D. Vollhardt, Erratum: Quantification of correlations in quantum many-particle systems
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M. Müller-Lennert, F. Dupuis, O. Szehr, S. Fehr, and M. Tomamichel. On quantum Rényi entropies: a new generalization and some properties
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K. Held and N.J. Mauser. Physics behind the minimum of relative entropy measures for correlations
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R.L. Frank and E.H. Lieb. Monotonicity of a relative Rényi entropy
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