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The complex optical conductivity of the half-Heusler compound GdPtBi ismeasured in a frequency range from 20 to 22 000 cm$^{-1}$ (2.5 meV - 2.73 eV)at temperatures down to 10 K in zero magnetic field. We find the real part ofthe conductivity, $\sigma_{1}(\omega)$, to be almost perfectly linear infrequency over a broad range from 50 to 800 cm$^{-1}$ ($\sim$ 6 - 100 meV) for$T \leq 50$ K. This linearity strongly suggests the presence ofthree-dimensional linear electronic bands with band crossings (nodes) near thechemical potential. Band-structure calculations show the presence of triplepoints, where one doubly degenerate and one nondegenerate band cross each otherin close vicinity of the chemical potential. From a comparison of our data withthe optical conductivity computed from the band structure, we conclude that theobserved nearly linear $\sigma_{1}(\omega)$ originates as a cumulative effectfrom all the transitions near the triple points.

Linear-in-frequency optical conductivity in GdPtBi due to transitions near the triple points