  The Berry phase understanding of electronic properties has attracted special
interest in condensed matter physics, leading to phenomena such as the
anomalous Hall effect and the topological Hall effect. A non-vanishing Berry
phase, induced in momentum space by the band structure or in real space by a
non-coplanar spin structure, is the origin of both effects. Here, we report a
sign conversion of the anomalous Hall effect and a large topological Hall
effect in (Cr0.9B0.1)Te single crystals. The spin reorientation from an
easy-axis structure at high temperature to an easy-cone structure below 140 K
leads to conversion of the Berry curvature, which influences both, anomalous
and topological, Hall effects in the presence of an applied magnetic field and
current. We compare and summarize the topological Hall effect in four
categories with different mechanisms and have a discussion into the possible
artificial fake effect of topological Hall effect in polycrystalline samples,
which provides a deep understanding of the relation between spin structure and
Hall properties.
