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We theoretically investigate the features of Ruderman-Kittel-Kasuya-Yosida(RKKY) exchange interaction between two magnetic impurities, mediated by theinterfacial bound states inside a domain wall (DW). The latter separates thetwo regions with oppositely signed inversion symmetry broken terms in grapheneand Weyl semimetal. The DW is modelled by a smooth quantum well which hosts anumber of discrete bound states including a pair of gapless, metalliczero-energy modes with opposite chiralities. We find clear signatures of theseinterfacial chiral bound states in spin response (RKKY exchange interaction)which is robust to the deformation of the quantum well.

Signatures of interfacial topological chiral modes via RKKY exchange interaction in Dirac and Weyl systems