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 $t_{2g}$-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 Nd${}_2$Mo${}_2$O${}_7$ and paramagnetic compound Pr${}_2$Ir${}_2$O${}_7$, 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 Pr${}_2$Ir${}_2$O${}_7$ can be explained in terms of the orbital mechanism by assuming small magnetic order of Ir 5d-electrons.

14 pages, to be published in Phys. Rev. B

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Cited by in corpus (2)

• Cluster multipole theory for anomalous Hall effect in antiferromagnets
• Controllable chirality-induced geometrical Hall effect in a frustrated highly-correlated metal