The prolonged decay of RKKY interactions by interplay of relativistic and non-relativistic electrons in semi-Dirac semimetals
The Ruderman–Kittel–Kasuya–Yosida (RKKY) interaction has been extensively explored in isotropic Dirac systems with linear dispersion, which typically follows an exponent decaying rate with the impurity distance R , i.e., J ∝ 1/ R ^d (1/ R ^2 ^d ^−1 ) in d -dimensional systems at finite (zero) Fermi...
| Main Authors: | , , , , , , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2022-01-01
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| Series: | New Journal of Physics |
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| Online Access: | https://doi.org/10.1088/1367-2630/ac5842 |
| _version_ | 1797748607998230528 |
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| author | Hou-Jian Duan Yong-Jia Wu Yan-Yan Yang Shi-Han Zheng Chang-Yong Zhu Ming-Xun Deng Mou Yang Rui-Qiang Wang |
| author_facet | Hou-Jian Duan Yong-Jia Wu Yan-Yan Yang Shi-Han Zheng Chang-Yong Zhu Ming-Xun Deng Mou Yang Rui-Qiang Wang |
| author_sort | Hou-Jian Duan |
| collection | DOAJ |
| description | The Ruderman–Kittel–Kasuya–Yosida (RKKY) interaction has been extensively explored in isotropic Dirac systems with linear dispersion, which typically follows an exponent decaying rate with the impurity distance R , i.e., J ∝ 1/ R ^d (1/ R ^2 ^d ^−1 ) in d -dimensional systems at finite (zero) Fermi energy. This fast decay makes it rather difficult to be detected and limits its application in spintronics. Here, we theoretically investigate the influence of anisotropic dispersion on the RKKY interaction, and find that the introduction of non-relativistic dispersion in semi-Dirac semimetals (S-DSMs) can significantly prolong the decay of the RKKY interaction and can remarkably enhance the Dzyaloshinskii–Moriya interaction around the relativistic direction. The underlying physics is attributed to the highly increased density of states in the linear-momentum direction as a result of the interplay of relativistic and non-relativistic electrons. Furthermore, we propose a general formula to determine the decaying rate of the RKKY interaction, extending the typical formula for isotropic DSMs. Our results suggest that the S-DSM materials are a powerful platform to detect and control the magnetic exchange interaction, superior to extensively adopted isotropic Dirac systems. |
| first_indexed | 2024-03-12T16:07:14Z |
| format | Article |
| id | doaj.art-1db7e4e254524378bd388842f9a4b9bc |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:07:14Z |
| publishDate | 2022-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-1db7e4e254524378bd388842f9a4b9bc2023-08-09T14:16:57ZengIOP PublishingNew Journal of Physics1367-26302022-01-0124303302910.1088/1367-2630/ac5842The prolonged decay of RKKY interactions by interplay of relativistic and non-relativistic electrons in semi-Dirac semimetalsHou-Jian Duan0Yong-Jia Wu1Yan-Yan Yang2Shi-Han Zheng3Chang-Yong Zhu4Ming-Xun Deng5Mou Yang6https://orcid.org/0000-0002-3716-0652Rui-Qiang Wang7Guangdong Provincial Key Laboratory of Quantum Engineering and Quantum Materials, School of Physics and Telecommunication Engineering, South China Normal University , Guangzhou 510006, People’s Republic of China; Guangdong-Hong Kong Joint Laboratory of Quantum Matter, Frontier Research Institute for Physics, South China Normal University , Guangzhou 510006, People’s Republic of ChinaGuangdong Provincial Key Laboratory of Quantum Engineering and Quantum Materials, School of Physics and Telecommunication Engineering, South China Normal University , Guangzhou 510006, People’s Republic of ChinaGuangdong Provincial Key Laboratory of Quantum Engineering and Quantum Materials, School of Physics and Telecommunication Engineering, South China Normal University , Guangzhou 510006, People’s Republic of ChinaCollege of Automation, Zhongkai University of Agriculture and Engineering , Guangzhou 510225, People’s Republic of ChinaGuangdong Provincial Key Laboratory of Quantum Engineering and Quantum Materials, School of Physics and Telecommunication Engineering, South China Normal University , Guangzhou 510006, People’s Republic of China; School of Intelligent Engineering, Shaoguan University , Shaoguan 512005, People’s Republic of ChinaGuangdong Provincial Key Laboratory of Quantum Engineering and Quantum Materials, School of Physics and Telecommunication Engineering, South China Normal University , Guangzhou 510006, People’s Republic of China; Guangdong-Hong Kong Joint Laboratory of Quantum Matter, Frontier Research Institute for Physics, South China Normal University , Guangzhou 510006, People’s Republic of ChinaGuangdong Provincial Key Laboratory of Quantum Engineering and Quantum Materials, School of Physics and Telecommunication Engineering, South China Normal University , Guangzhou 510006, People’s Republic of China; Guangdong-Hong Kong Joint Laboratory of Quantum Matter, Frontier Research Institute for Physics, South China Normal University , Guangzhou 510006, People’s Republic of ChinaGuangdong Provincial Key Laboratory of Quantum Engineering and Quantum Materials, School of Physics and Telecommunication Engineering, South China Normal University , Guangzhou 510006, People’s Republic of China; Guangdong-Hong Kong Joint Laboratory of Quantum Matter, Frontier Research Institute for Physics, South China Normal University , Guangzhou 510006, People’s Republic of ChinaThe Ruderman–Kittel–Kasuya–Yosida (RKKY) interaction has been extensively explored in isotropic Dirac systems with linear dispersion, which typically follows an exponent decaying rate with the impurity distance R , i.e., J ∝ 1/ R ^d (1/ R ^2 ^d ^−1 ) in d -dimensional systems at finite (zero) Fermi energy. This fast decay makes it rather difficult to be detected and limits its application in spintronics. Here, we theoretically investigate the influence of anisotropic dispersion on the RKKY interaction, and find that the introduction of non-relativistic dispersion in semi-Dirac semimetals (S-DSMs) can significantly prolong the decay of the RKKY interaction and can remarkably enhance the Dzyaloshinskii–Moriya interaction around the relativistic direction. The underlying physics is attributed to the highly increased density of states in the linear-momentum direction as a result of the interplay of relativistic and non-relativistic electrons. Furthermore, we propose a general formula to determine the decaying rate of the RKKY interaction, extending the typical formula for isotropic DSMs. Our results suggest that the S-DSM materials are a powerful platform to detect and control the magnetic exchange interaction, superior to extensively adopted isotropic Dirac systems.https://doi.org/10.1088/1367-2630/ac5842RKKY interactionsemi-Dirac semimetalmagnetic exchange interaction |
| spellingShingle | Hou-Jian Duan Yong-Jia Wu Yan-Yan Yang Shi-Han Zheng Chang-Yong Zhu Ming-Xun Deng Mou Yang Rui-Qiang Wang The prolonged decay of RKKY interactions by interplay of relativistic and non-relativistic electrons in semi-Dirac semimetals New Journal of Physics RKKY interaction semi-Dirac semimetal magnetic exchange interaction |
| title | The prolonged decay of RKKY interactions by interplay of relativistic and non-relativistic electrons in semi-Dirac semimetals |
| title_full | The prolonged decay of RKKY interactions by interplay of relativistic and non-relativistic electrons in semi-Dirac semimetals |
| title_fullStr | The prolonged decay of RKKY interactions by interplay of relativistic and non-relativistic electrons in semi-Dirac semimetals |
| title_full_unstemmed | The prolonged decay of RKKY interactions by interplay of relativistic and non-relativistic electrons in semi-Dirac semimetals |
| title_short | The prolonged decay of RKKY interactions by interplay of relativistic and non-relativistic electrons in semi-Dirac semimetals |
| title_sort | prolonged decay of rkky interactions by interplay of relativistic and non relativistic electrons in semi dirac semimetals |
| topic | RKKY interaction semi-Dirac semimetal magnetic exchange interaction |
| url | https://doi.org/10.1088/1367-2630/ac5842 |
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