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A Unified Understanding of Diverse Spin Textures of Kramers–Weyl Fermions in Nonmagnetic Chiral Crystals

机译:A Unified Understanding of Diverse Spin Textures of Kramers–Weyl Fermions in Nonmagnetic Chiral Crystals

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摘要

Chiral crystals, characterized by rotation, screw rotation, and translationsymmetries are abundant in nature. The existence of Kramers–Weyl fermions(KWFs) at the time-reversal-invariant momenta in nonmagnetic chiral crystals(NCCs) has attracted intense attention due to their unique physical propertiesbeyond conventional Weyl fermions. Although the spin texture, one of themost fundamental physical quantities, is found to be dramatically differentfor different KWFs in different NCCs, a unified understanding of this puzzlingphenomenon is still lacking. In this article, combining k · p theory andfirst-principles calculations, k-linear Hamiltonians for KWFs are constructedand consequently a complete classification for the spin textures of KWFs inall the NCCs is made, which are confirmed by a series of material examplecalculations. Interestingly, it is found that the spin textures are reversed inNCCs with opposite chirality, leading to reversed Fermi arc surface states.Importantly, this study unveils that the nonlinear optical responses aroundthe KWFs in NCCs can be largely determined by their spin texture classification.This study not only provides a unified understanding of the spin texturesof KWFs in all the NCCs, but also suggests a principle to design novel KWFrelatedspintronics and nonlinear optics.

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