The Mott metal-insulator transition in the 1D Hubbard model in an external magnetic field

Holger Frahm 1, Temo Vekua 2

Journal of statistical mechanics-theory and experiment (2008) P01007

We study the low energy behavior of the one dimensional Hubbard model across the Mott metal-insulator phase transition in an external magnetic field. In particular we calculate elements of the dressed charge matrix at the critical point of the Mott transition for arbitrary Hubbard repulsion and magnetization numerically and, in certain limiting cases, analytically. These results are combined with a non-perturbative effective field theory approach to reveal how the breaking of time reversal symmetry influences the Mott transition.

  • 1. Institut fur Theoretische Physik,
    Leibniz Universitat Hannover
  • 2. Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS),
    CNRS : UMR8626 – Université Paris XI - Paris Sud