RKKY interaction in helical higher-order topological insulators
Chinese Physics B(2024)
Abstract
We theoretically investigate the RKKY interaction in helical higher-order
topological insulators (HOTIs), revealing distinct behaviors mediated by hinge
and Dirac-type bulk carriers. Our findings show that hinge-mediated
interactions consist of Heisenberg, Ising, and Dzyaloshinskii-Moriya (DM)
terms, exhibiting a decay with impurity spacing z and oscillations with Fermi
energy ϵF . These interactions demonstrate ferromagnetic behaviors for
the Heisenberg and Ising terms and alternating behavior for the DM term. In
contrast, bulk-mediated interactions include Heisenberg, twisted Ising, and DM
terms, with a conventional cubic oscillating decay. This study highlights the
nuanced interplay between hinge and bulk RKKY interactions in HOTIs, offering
insights into the design of next-generation quantum devices based on the HOTIs.
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