Local magnetic moment oscillation around an Anderson impurity on graphene

IF 6.4 1区物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY

Science China Physics, Mechanics & Astronomy Pub Date : 2024-11-13 DOI:10.1007/s11433-024-2512-3

Shuai Li, Zhen Ma, Jin-Hua Gao

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Abstract

We theoretically investigate the spin resolved Friedel oscillation (FO) and quasiparticle interference (QPI) in graphene induced by an Anderson impurity. Once the impurity becomes magnetic, the resulted FO becomes spin dependent, which gives rise to a local magnetic moment oscillation with an envelop decaying as r⁻² in real space in the doping cases. Meanwhile, at half filling, the electron density and local magnetic moment will not oscillate but decay as r⁻³. Such spin resolved FO has both sublattice and spin asymmetry. Interestingly, the local magnetic moment decay at half filling only occurs at one sublattice of graphene, which is quite like the phenomenon observed in the STM experiment (H. González-Herrero et al., Science 352, 437 (2016)). We further give an analytic formula about such spin dependent FO based on the stationary phase approximation. Finally, we study the interference of quasiparticles around the magnetic impurity by calculating the spin dependent Fourier-transformed local density of states (FT-LDOS). Our work gives a comprehensive understanding about the local magnetic moment oscillation around an Anderson impurity on graphene.

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石墨烯上安德森杂质周围的局部磁矩振荡

我们从理论上研究了安德森杂质诱导的石墨烯自旋解析弗里德尔振荡（FO）和类粒子干涉（QPI）。一旦杂质变得具有磁性，所产生的弗里德尔振荡就会变得与自旋相关，从而引起局部磁矩振荡，在掺杂情况下，其包络线在实空间衰减为 r-2。同时，在半填充状态下，电子密度和局部磁矩不会发生振荡，而是以 r-3 的形式衰减。这种自旋解析的 FO 同时具有亚晶格和自旋的不对称性。有趣的是，半填充时的局部磁矩衰减只发生在石墨烯的一个子晶格上，这与 STM 实验中观察到的现象十分相似（H. González-Herrero 等人，《科学》352, 437 (2016)）。我们进一步给出了基于固定相近似的自旋相关 FO 的解析公式。最后，我们通过计算与自旋相关的傅立叶变换局部态密度（FT-LDOS），研究了磁性杂质周围准粒子的干扰。我们的工作让我们对石墨烯上安德森杂质周围的局部磁矩振荡有了全面的了解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Science China Physics, Mechanics & Astronomy PHYSICS, MULTIDISCIPLINARY-

CiteScore

10.30

自引率

6.20%

发文量

4047

审稿时长

3 months

期刊介绍： Science China Physics, Mechanics & Astronomy, an academic journal cosponsored by the Chinese Academy of Sciences and the National Natural Science Foundation of China, and published by Science China Press, is committed to publishing high-quality, original results in both basic and applied research. Science China Physics, Mechanics & Astronomy, is published in both print and electronic forms. It is indexed by Science Citation Index. Categories of articles: Reviews summarize representative results and achievements in a particular topic or an area, comment on the current state of research, and advise on the research directions. The author’s own opinion and related discussion is requested. Research papers report on important original results in all areas of physics, mechanics and astronomy. Brief reports present short reports in a timely manner of the latest important results.