Chiral crystals have a noncentrosymmetric unit cell and can manifest spin-orbit coupling (SOC)-induced band splitting, even in the absence of an atomic magnetic moment. We examine the particular case of B20 compounds, with AlPt as representative material, by means of first-principles electronic structure calculations. We show how nonzero, but punctually compensated k textures for both the spin and the orbital magnetic moment, emerge as a function of the lattice geometry, SOC, and in dependence on finite temperature. An applied electric field perturbation is shown to set up a bulk Edelstein effect in terms of both spin and orbital magnetic moment.
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