Anomalous Hall Effect due to Non-collinearily in Pyrochlore Compounds: Role of Orbital Aharonov-Bohm Effect
Abstract
To elucidate the origin of spin structure-driven anomalous Hall effect (AHE) in pyrochlore compounds, we construct the t2g-orbital kagome lattice model and analyze the anomalous Hall conductivity (AHC). We reveal that a conduction electron acquires a Berry phase due to the complex d-orbital wavefunction in the presence of spin-orbit interaction. This ``orbital Aharonov-Bohm (AB) effect'' produces the AHC that is drastically changed in the presence of non-collinear spin structure. In both ferromagnetic compound Nd2Mo2O7 and paramagnetic compound Pr2Ir2O7, the AHC given by the orbital AB effect totally dominates the spin chirality mechanism, and succeeds in explaining the experimental relation between the spin structure and the AHC. Especially, ``finite AHC in the absence of magnetization'' observed in Pr2Ir2O7 can be explained in terms of the orbital mechanism by assuming small magnetic order of Ir 5d-electrons.
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