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The Hall effect is a voltage arising from an electric field perpendicular to a magnetic field in a material. It is to be distinguished from the quantum hall effect (QHE).
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Topological Hall Effect vs. Anomalous Hall Effect
In my sense, "topological Hall effect" is often used in the context of "Anomalous Hall effect with real space Berry curvature". So, the Hall effect in spin non-collinear spin texture such as magnetic …