Correlated electrons and generalized statistics

TL;DR

This paper compares various generalized Fermi-Dirac distributions to numerical and experimental data for correlated electron systems, highlighting the usefulness of incomplete information-based quantum distributions in different correlation regimes.

Contribution

It introduces and evaluates additive and nonadditive incomplete fermion distributions for modeling weakly and strongly correlated electrons.

Findings

Additive incomplete fermion distribution effectively describes weak correlations.

Nonadditive distribution is suitable for strong correlations.

Generalized distributions align well with experimental and numerical results.

Abstract

Several important generalizations of Fermi-Dirac distribution are compared to numerical and experimental results for correlated electron systems. It is found that the quantum distributions based on incomplete information hypothesis can be useful for describing this kind of systems. We show that the additive incomplete fermion distribution gives very good description of weakly correlated electrons and that the nonadditive one is suitable to very strong correlated cases.