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Breakdown of Luttinger's theorem in two-orbital Mott insulators

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  • A. Rosch

Abstract

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. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2007

Suggested Citation

  • A. Rosch, 2007. "Breakdown of Luttinger's theorem in two-orbital Mott insulators," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 59(4), pages 495-502, October.
    • Handle: RePEc:spr:eurphb:v:59:y:2007:i:4:p:495-502
    DOI: 10.1140/epjb/e2007-00312-3
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    Cited by:

    1. N. Wagner & L. Crippa & A. Amaricci & P. Hansmann & M. Klett & E. J. König & T. Schäfer & D. Di Sante & J. Cano & A. J. Millis & A. Georges & G. Sangiovanni, 2023. "Mott insulators with boundary zeros," Nature Communications, Nature, vol. 14(1), pages 1-8, December.

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