Long-range adsorbate interactions mediated by two-dimensional Dirac fermions

doi:10.1088/1674-1056/acae77

中国物理B ›› 2023, Vol. 32 ›› Issue (5): 57201-057201.doi: 10.1088/1674-1056/acae77

Long-range adsorbate interactions mediated by two-dimensional Dirac fermions

Xiaohui Wang(王晓慧)¹, Zhen-Guo Fu(付振国)^2,†, Zhigang Wang(王志刚)², Feng Chi(迟锋)³, and Ping Zhang(张平)^4,2,‡

1 Beijing Key Laboratory of Optical Detection Technology for Oil and Gas, China University of Petroleum-Beijing, Beijing 102249, China;
2 Institute of Applied Physics and Computational Mathematics, Beijing 100088, China;
3 School of Electronic and Information Engineering, University of Electronic Science and Technology of China, Zhongshan Institute, Zhongshan 528400, China;
4 School of Physics and Physical Engineering, Qufu Normal University, Qufu 273165, China

收稿日期:2022-09-09 修回日期:2023-12-07 接受日期:2023-12-27 出版日期:2023-04-21 发布日期:2023-04-26
通讯作者: Zhen-Guo Fu, Ping Zhang E-mail:fu_zhenguo@iapcm.ac.cn;zhang_ping@iapcm.ac.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11804028 and 12175023) and the Fund from the State Key Laboratory of Petroleum Resources and Prospecting, China University of Petroleum (Grant No. PRP/DX-2210).

Long-range adsorbate interactions mediated by two-dimensional Dirac fermions

Xiaohui Wang(王晓慧)¹, Zhen-Guo Fu(付振国)^2,†, Zhigang Wang(王志刚)², Feng Chi(迟锋)³, and Ping Zhang(张平)^4,2,‡

1 Beijing Key Laboratory of Optical Detection Technology for Oil and Gas, China University of Petroleum-Beijing, Beijing 102249, China;
2 Institute of Applied Physics and Computational Mathematics, Beijing 100088, China;
3 School of Electronic and Information Engineering, University of Electronic Science and Technology of China, Zhongshan Institute, Zhongshan 528400, China;
4 School of Physics and Physical Engineering, Qufu Normal University, Qufu 273165, China

Received:2022-09-09 Revised:2023-12-07 Accepted:2023-12-27 Online:2023-04-21 Published:2023-04-26
Contact: Zhen-Guo Fu, Ping Zhang E-mail:fu_zhenguo@iapcm.ac.cn;zhang_ping@iapcm.ac.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11804028 and 12175023) and the Fund from the State Key Laboratory of Petroleum Resources and Prospecting, China University of Petroleum (Grant No. PRP/DX-2210).

摘要/Abstract

摘要： We provide here an analytical formalism to describe the indirect interaction between adsorbed atom or molecule pairs mediated by two-dimensional (2D) Dirac fermions. We show that in contrast to the case of traditional 2D electron gas, in the 2D Dirac system, the long-range interaction behaves as 1/r³ decaying Friedel oscillation. This analytical formalism is fully consistent with a tight-binding numerical calculation of honeycomb lattices. Our formalism is suitable for the realistic 2D Dirac materials, such as graphene and surface states of three-dimensional topological insulators.

关键词: graphene, Green's function, Dirac fermions

Abstract: We provide here an analytical formalism to describe the indirect interaction between adsorbed atom or molecule pairs mediated by two-dimensional (2D) Dirac fermions. We show that in contrast to the case of traditional 2D electron gas, in the 2D Dirac system, the long-range interaction behaves as 1/r³ decaying Friedel oscillation. This analytical formalism is fully consistent with a tight-binding numerical calculation of honeycomb lattices. Our formalism is suitable for the realistic 2D Dirac materials, such as graphene and surface states of three-dimensional topological insulators.

Key words: graphene, Green's function, Dirac fermions

中图分类号: (Electronic transport in graphene)

72.80.Vp

72.10.Fk (Scattering by point defects, dislocations, surfaces, and other imperfections (including Kondo effect)) 73.20.-r (Electron states at surfaces and interfaces)

Xiaohui Wang(王晓慧), Zhen-Guo Fu(付振国), Zhigang Wang(王志刚), Feng Chi(迟锋), and Ping Zhang(张平). Long-range adsorbate interactions mediated by two-dimensional Dirac fermions[J]. 中国物理B, 2023, 32(5): 57201-057201.

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Long-range adsorbate interactions mediated by two-dimensional Dirac fermions

Long-range adsorbate interactions mediated by two-dimensional Dirac fermions

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