106,919 research outputs found
Berry phase and Anomalous Hall Effect in a Three-orbital Tight-binding Hamiltonian
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
Intrinsic Anomalous Hall Effect in Magneto-Chiral States
We show that a finite Hall effect in zero applied magnetic field occurs for
partially filled bands in certain time-reversal violating states with zero net
flux per unit-cell. These states are the Magneto-chiral states with parameters
in the effective one-particle Hamiltonian such that they do not satisfy the
Haldane-type constraints for topological electronic states. The results extend
an earlier discussion of the Kerr effect observed in the cuprates but may be
applicable to other experimental situations.Comment: published versio
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