Edelstein effect and its reciprocity at chiral metal interface

Current-induced magnetization and its inverse effect have recently been found in metals with chiral crystal structures [1-4]. A reciprocal relation between the two effects has also been reported [2-4], but has not yet been clarified in accordance with the microscopic theory. Indeed, the reciprocity for the Rashba–Edelstein effect, similar to that for the chiral metals, has been formulated in the case of isolated surfaces [5]. It remains unclear, however, if we can extend such formulation to the case of interfaces with other metals, along with the experimental situations.

In this work, we have developed the Edelstein effect reciprocity so that it relates input and output quantities separated by the interface. Coefficients in the direct and inverse Edelstein effects have also been obtained analytically. Our formulation is based on the Boltzmann transport equation beyond the relaxation time approximation, and is valid for the Rashba model and other spin-splitting systems as well.

[1] Y. Nabei et al., Appl. Phys. Lett. 117, 052408 (2021).

[2] A. Inui et al., Phys. Rev. Lett. 124, 166602 (2020).

[3] K. Shiota et al., Phys. Rev. Lett. 127, 126602 (2021).

[4] H. Shishido et al., Appl. Phys. Lett. 119, 182403 (2021).

[5] K. Shen et al., Phys. Rev. Lett. 112, 096601 (2014).