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Half-Heusler compounds have attracted significant attention because of theirtopologically non-trivial electronic structure, which leads to unusual electrontransport properties. We thoroughly investigated the magnetotransportproperties of high-quality single crystals of two half-Heusler phases, TbPtBiand HoPtBi, in pursuit of the characteristic features of topologicallynon-trivial electronic states. Both studied compounds are characterized by thegiant values of transverse magnetoresistance with no sign of saturation inmagnetic field up to 14 T. HoPtBi demonstrates the Shubnikov-de Haas effectwith two principal frequencies, indicating a complex Fermi surface; theextracted values of carrier effective masses are rather small, $0.18\,m_e$ and$0.27\,m_e$. The investigated compounds exhibit negative longitudinalmagnetoresistance and anomalous Hall effect, which likely arise from a nonzeroBerry curvature. Both compounds show strongly anisotropic magnetoresistance,that in HoPtBi exhibits a butterfly-like behavior.

Anomalous Hall effect and negative longitudinal magnetoresistance in half-Heusler topological semimetal candidates TbPtBi and HoPtBi