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We present the effects of spin-orbit coupling on the low-energy bands andFermi surface of the recently discovered pressure-induced superconductor CrAs.We apply the L\"owdin down-folding procedure to a tight-binding hamiltonianthat includes the intrinsic spin-orbit interaction, originating from the Cr 3delectrons as well as from As 4p ones. Our results indicate that Ascontributions have negligible effects, whereas the modifications to the bandstructure and the Fermi surface can be mainly ascribed to the Cr contribution.We show that the inclusion of the spin-orbit interaction allows for a selectiveremoval of the band degeneracy due to the crystal symmetries, along specifichigh symmetry lines. Such release of the band degeneracy naturally determines areconstruction of the Fermi surface, including the possibility of changing thenumber of pockets.

Spin-orbit coupling effects on the electronic properties of the pressure-induced superconductor CrAs