RKKY interaction in helical higher-order topological insulators

Fuente: arXiv
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Autores principales: Jin, Sha, Li, Jian, Li, Qing-Xu, Zhu, Jia-Ji
Formato: Preprint
Publicado: 2024
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author Jin, Sha
Li, Jian
Li, Qing-Xu
Zhu, Jia-Ji
author_facet Jin, Sha
Li, Jian
Li, Qing-Xu
Zhu, Jia-Ji
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2406_10243
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle RKKY interaction in helical higher-order topological insulators
Jin, Sha
Li, Jian
Li, Qing-Xu
Zhu, Jia-Ji
Mesoscale and Nanoscale Physics
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.
title RKKY interaction in helical higher-order topological insulators
topic Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2406.10243