https://doi.org/10.1140/epjb/e2007-00312-3
Breakdown of Luttinger's theorem in two-orbital Mott insulators
Institute for Theoretical Physics, University of Cologne, 50937 Cologne, Germany
Corresponding author: a rosch@thp.uni-koeln.de
Received:
30
July
2007
Published online:
15
November
2007
An analysis of Luttinger's theorem shows that – contrary to recent claims – it is not valid for a generic Mott insulator. For a two-orbital Hubbard model with two electrons per site the crossover from a non-magnetic correlated insulating phase (Mott or Kondo insulator) to a band insulator is investigated. Mott insulating phases are characterized by poles of the self-energy and corresponding zeros in the Greens functions defining a “Luttinger surface” which is absent for band insulators. Nevertheless, the ground states of such insulators with two electrons per unit cell are adiabatically connected.
PACS: 71.10.-w – Theories and models of many-electron systems / 71.10.Fd – Lattice fermion models (Hubbard model, etc.) / 71.30.+h – Metal-insulator transitions and other electronic transitions
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2007
