Abstract
The authors establish a microscopic understanding of the anomalous Hall effect of electrons in several Kagome magnets. The spin-orbit coupling together with the inversion-symmetry breaking in these materials can effectively be described by a virtual texture that is canted out of the Kagome plane, even though the actual magnetic texture is coplanar. The uncompensated virtual texture has a finite scalar spin chirality effectively giving rise to a topologically induced Hall effect.
Highlights
The Hall effect of electrons is one of the most intensely investigated effects in solid-state physics
All three contributions are related to a net magnetization; it breaks a set of time-reversal and spatial symmetries so that a reciprocal-space Berry curvature can arise
We have revealed microscopically how the anomalous Hall effect arises in kagome magnets like Mn3X (N)
Summary
The Hall effect of electrons is one of the most intensely investigated effects in solid-state physics. Besides the conventional Hall effect which is caused by an externally applied magnetic field [1], the anomalous Hall effect [2] has become a signature of ferromagnets [3]. This effect can be caused by the skew-scattering [4,5] and side-jump [6] mechanisms. All three contributions are related to a net magnetization; it breaks a set of time-reversal and spatial symmetries so that a reciprocal-space Berry curvature can arise. Using tight-binding calculations, we show that the topological Hall contribution (caused by the net scalar spin chirality) is dominant over the anomalous Hall contribution (caused by the net magnetic moment of the virtual texture). For a critical angle the virtual texture is coplanar, restoring the combined time-reversal and mirror symmetry of the Hamiltonian that forbids finite Hall conductivities
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