RKKY interaction in helical higher-order topological insulators

doi:10.1088/1674-1056/ad3ef9

中国物理B ›› 2024, Vol. 33 ›› Issue (7): 77503-077503.doi: 10.1088/1674-1056/ad3ef9

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

收稿日期:2024-02-27 修回日期:2024-04-13 接受日期:2024-04-16 出版日期:2024-06-18 发布日期:2024-06-20
通讯作者: Jia-Ji Zhu E-mail:zhujj@cqupt.edu.cn;
基金资助:
This work was supported by the research foundation of Institute for Advanced Sciences of CQUPT (Grant No. E011A2022328).

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

Received:2024-02-27 Revised:2024-04-13 Accepted:2024-04-16 Online:2024-06-18 Published:2024-06-20
Contact: Jia-Ji Zhu E-mail:zhujj@cqupt.edu.cn;
Supported by:
This work was supported by the research foundation of Institute for Advanced Sciences of CQUPT (Grant No. E011A2022328).

摘要/Abstract

摘要： 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.

关键词: magnetic impurity interactions, magnetic ordering, spintronics, topological phases

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.

Key words: magnetic impurity interactions, magnetic ordering, spintronics, topological phases

中图分类号: (Magnetic impurity interactions)

75.30.Hx

75.10.-b (General theory and models of magnetic ordering) 03.65.Vf (Phases: geometric; dynamic or topological)

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[J]. 中国物理B, 2024, 33(7): 77503-077503.

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[J]. Chin. Phys. B, 2024, 33(7): 77503-077503.

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RKKY interaction in helical higher-order topological insulators

RKKY interaction in helical higher-order topological insulators

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