Berry phase and anomalous Hall effect in a three-orbital tight-binding Hamiltonian

  • He Y
  • Moore J
  • Varma C
  • 36


    Mendeley users who have this article in their library.
  • 21


    Citations of this article.


We consider the anomalous Hall (AH) state induced by interactions in a three-orbital per unit-cell model. To be specific, we consider a model appropriate for the copper-oxide lattice to highlight the necessary conditions for time-reversal breaking states which are AH states and which are not. We compare the singularities of the wave functions of the three-orbital model, which are related to the nonzero Berry curvature, and their variation with a change of gauge to those in the two-orbital model introduced in a seminal paper by Haldane. Explicit derivation using wave functions rather than the more powerful abstract methods may provide additional physical understanding of the phenomena.

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document


  • Yan He

  • Joel Moore

  • C. M. Varma

Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free