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Anomalous Hall effect in the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mrow><mml:mn>2</mml:mn><mml:mi>g</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>orbital kagome lattice due to noncollinearity: Significance of the orbital Aharonov-Bohm effect
A mechanism of spin structure-driven anomalous Hall effect (AHE) in tilted ferromagnetic metals is proposed by taking account of the $d$-orbital degree of freedom. We find that a conduction electron acquires a Berry phase due to the complex $d$-orbital wave function, in the presence of noncollinear spin structure and the …