半Dirac半金属中相对论和非相对论电子相互作用引起的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
摘要：
Ruderman-Kittel-Kasuya-Yosida（RKKY）相互作用在具有线性色散的各向同性Dirac系统中得到了广泛的研究，该系统通常遵循指数衰减率与杂质距离$R$，即，有限（零）费米能下$d$维系统中的$J\propto 1/R^d$（$1/R^{2d-1}$）。这种快速的衰减使得它很难被探测到，并限制了它在自旋电子学中的应用。本文从理论上研究了各向异性色散对RKKY相互作用的影响，发现在半狄拉克半金属（S-DSM）中引入非相对论性色散可以显著延长RKKY相互作用的衰减，并在相对论性方向上显著增强Dzyaloshinskiii-Moriya相互作用.基本的物理学是由于相对论性和非相对论性电子的相互作用导致的线性动量方向上的态密度的高度增加。此外，我们提出了一个一般公式来确定的RKKY相互作用的衰减率，扩展了各向同性DSM的典型公式。我们的研究结果表明，S-DSM材料是一个强大的平台，以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。
英文摘要：
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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