| CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES |
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RKKY interaction in helical higher-order topological insulators |
| Sha Jin(金莎)1, Jian Li(李健)1,2,3, Qing-Xu Li(李清旭)1,2,3, and Jia-Ji Zhu(朱家骥)1,2,3,† |
1 School of Science, Chongqing University of Posts and Telecommunications, Chongqing 400065, China;
2 Institute for Advanced Sciences, Chongqing University of Posts and Telecommunications, Chongqing 400065, China;
3 Southwest Center for Theoretical Physics, Chongqing University, Chongqing 401331, China |
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Abstract We theoretically investigate the Ruderman-Kittel-Kasuya-Yosida (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 $\varepsilon_{\scriptscriptstyle{\rm F}}$. 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 designs of next-generation quantum devices based on HOTIs.
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Received: 27 February 2024
Revised: 13 April 2024
Accepted manuscript online: 16 April 2024
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PACS:
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75.30.Hx
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(Magnetic impurity interactions)
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75.10.b
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85.75.d
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03.65.Vf
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(Phases: geometric; dynamic or topological)
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| Fund: This work was supported by the research foundation of Institute for Advanced Sciences of CQUPT (Grant No. E011A2022328). |
Corresponding Authors:
Jia-Ji Zhu
E-mail: zhujj@cqupt.edu.cn
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Cite this article:
Sha Jin(金莎), Jian Li(李健), Qing-Xu Li(李清旭), and Jia-Ji Zhu(朱家骥) RKKY interaction in helical higher-order topological insulators 2024 Chin. Phys. B 33 077503
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