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Chirality-induced orbital Edelstein effect in an analytically solvable model

Chirality-induced spin selectivity (CISS), a phenomenon wherein chiral structures selectively determine the

spin polarization of electron currents flowing through the material, has garnered significant attention due to its

potential applications in areas such as spintronics, enantioseparation, and catalysis. The underlying physical

effect is the Edelstein effect that converts charge to angular momentum. Besides a spin contribution, there exists

a contribution based on the orbital angular momentum but the precise mechanism for its generation remains yet

to be understood. Here, we introduce the minimal model for explaining the phenomenon based on the orbital

Edelstein effect. We consider nonlocal intersite contributions to the current-induced orbital angular momentum

and reveal the underlying mechanism by analytically calculating the Edelstein susceptibilities in a tight-binding

and Boltzmann approach. While the orbital angular momentum is directly generated by the chirality of the

crystal, the spin contribution of each spin-split band pair relies on spin-orbit coupling. Using tellurium as an

example, we show that the orbital contribution surpasses the spin contribution by orders of magnitude.

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