论文标题

在半迪拉克半学分中相对论和非权利性电子的相互作用的rkky相互作用的长时间衰减

The prolonged decay of RKKY interactions by interplay of relativistic and non-relativistic electrons in semi-Dirac semimetals

论文作者

Duan, Hou-Jian, Yang, Yan-Yan, Zheng, Shi-Han, Zhu, Chang-Yong, Deng, Ming-Xun, Wang, Ruiqiang, Yang, Mou

论文摘要

Ruderman-kittel-kasuya-yosida(rkky)的互动已在具有线性分散的各向同性迪拉克系统中进行了广泛的探索,通常遵循具有杂质距离$ r $的指数衰减速率,即$ j \ j \ j \ propto propto propto propto propto propto propto 1/r^d $($ 1/r^$ r^$ dd $ dd $ dd $ dim)费米能量。这种快速的衰减使得很难被检测到并限制其在Spintronics中的应用。在这里,我们从理论上研究各向异性分散对rkky互动的影响,发现在半迪拉克半仪(S-DSMS)中引入了非相关性分散(S-DSM)可以显着延长rkky互动的衰减,并可以显着增强dzyaloshinski-moriya围绕Relativicistical的互动。基础物理学归因于相对论和非忠实电子的相互作用,在线性摩托车方向上状态的密度高度增加。此外,我们提出了一个通用公式来确定rkky相互作用的衰减速率,从而扩展了各向同性DSM的典型公式。我们的结果表明,S-DSM材料是一个强大的平台,可检测和控制磁交换相互作用,优于广泛采用的各向同性狄拉克系统。

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., $J\propto 1/R^d$ ($1/R^{2d-1}$) 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.

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