Berry phase and Anomalous Hall Effect in a Three-orbital Tight-binding Hamiltonian

Details Berry phase and Anomalous Hall Effect in a Three-orbital Tight-binding Hamiltonian Berry phase and Anomalous Hall Effect in a Three-orbital Tight-binding Hamiltonian

2011-12-29

arxiv.org/abs/1112.6393v2

Phys. Rev. B 85, 155106 (2012)

Physics

Condensed Matter

Strongly Correlated Electrons

Scientific paper

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.

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