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Symmetry-protected non-trivial states in chiral topological materials holdimmense potential for fundamental science and technological advances. Here, wereport electrical transport, quantum oscillations, and electronic structureresults of a single crystal of chiral quantum material $\rm PtAl$. Based on thede Haas-van Alphen (dHvA) oscillations, we show that the smallest Fermi pocket($\alpha$) possesses a non-trivial Berry phase $1.16$$\pi$. The band associatedwith this Fermi pocket carries a linear energy dispersion over a substantialenergy window of $\sim$700 meV that is further consistent with the calculatedoptical conductivity. First-principles calculations unfold that $\rm PtAl$ is ahigher-fold chiral fermion semimetal where structural chirality drives thechiral fermions to lie at the high-symmetry $\Gamma$ and $R$ points of thecubic Brillouin zone. In the absence of spin-orbit coupling, the band crossingsat $\Gamma$ and $\rm R$ points are three- and four-fold degenerate with achiral charge of $-2$ and $+2$, respectively. The inclusion of spin-orbitcoupling transforms these crossing points into four- and six-fold degeneratepoints with a chiral charge of $-4$ and $+4$. Nontrivial surface states on the$(001)$ plane connect the bulk projected chiral points through the long helicalFermi arcs that spread over the entire Brillouin zone.

Analysis of the unconventional chiral fermions in a non-centrosymmetric chiral crystal $\textbf {PtAl}$