https://doi.org/10.1140/epjb/e2003-00011-1
Correlated electrons and generalized statistics
Institut Supérieur des Matériaux du Mans, 44, Avenue F.A. Bartholdi, 72000 Le Mans, France
Corresponding author: a awang@ismans.univ-lemans.fr
Received:
13
May
2002
Published online:
27
January
2003
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.
PACS: 05.20.-y – Classical statistical mechanics / 05.30.-d – Quantum statistical mechanics / 71.10.-w – Theories and models of many-electron systems / 71.27.+a – Strongly correlated electron systems; heavy fermions
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2003