Magnetic and superconducting phase diagram of the half-Heusler topological semimetal HoPdBi

We report a study of the magnetic and electronic properties of the non-centrosymmetric half-Heusler antiferromagnet HoPdBi ($T_N=2.0$ K). Magnetotransport measurements show HoPdBi has a semimetallic behaviour with a carrier concentration $n=3.7\times {10}^{18}$ cm${}^{-3}$ extracted from the Shubnikov-de Haas effect. The magnetic phase diagram in the field-temperature plane has been determined by transport, magnetization and thermal expansion measurements: magnetic order is suppressed at $B_M\sim 3.6$ T for $T \rightarrow 0$\mathrm{.}Superconductivitywith$T_c \sim 1.9$ K is found in the antiferromagnetic phase. Ac-susceptibility measurements provide solid evidence for bulk superconductivity below $T_c=0.75$ K with a screening signal close to a volume fraction of 100 %. The upper critical field shows an unusual linear temperature variation with $B_{c2}(T\to 0)=1.1$ T. We also report electronic structure calculations that classify HoPdBi as a new topological semimetal, with a non-trivial band inversion of 0.25 eV.