arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1909.04657cond-mat.mtrl-scicond-mat.supr-con
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镍酸盐$Ln_{n+1}$ Ni $_n$ O $_{2n+2}$的电子结构和拓扑性质

Electronic structures and topological properties in nickelates $Ln_{n+1}$Ni$_n$O$_{2n+2}$

Jiacheng Gao, Zhijun Wang, Chen Fang, Hongming Weng

摘要:

空穴掺杂的镍酸盐化合物Nd $_{0.8}$ Sr $_{0.2}$ NiO $_2$的发现,对它的电子结构、轨道成分、费米面和能带拓扑的分析有助于理解它的超导电性机制。基于第一性原理计算,我们发现Ni $3d_{x^2-y^2}$态贡献了最大的费米面. $Ln~5d_{3z^2-r^2}$态在$Γ$处形成电子袋,而$5d_{xy}$态在A处形成相对较大的电子袋。这些费米面和对称性特征可以通过我们的双带模型来再现,该模型由两个基本带表示组成:$B_{1g}@1a~\oplus~A_{1g}@1b$。我们发现,有一个带反转附近的A,引起一对狄拉克点沿A-M低于费米能级一旦包括自旋轨道耦合。此外,我们还进行了LDA+Gutzwiller计算来处理Ni 3d轨道的强关联效应。特别地,$3d_{x^2-y^2}$的带宽已经被大大地重整化。关联带重整化后,Ni $3d_{xy}$态和狄拉克点变得非常接近费米能级。因此,空穴掺杂可以在A处引入空穴袋,这可能与所观察到的霍尔系数的符号变化有关。通过引入额外的Ni $3d_{xy}$轨道,我们的模型可以捕获空穴袋带和带反转。此外,还讨论了铁磁双层化合物LaPDMATHABMVNiPDMATHABMOOPDMATHABMW中的非平凡能带拓扑,并将能带反转与Ni $3d_{x^2-y^2}$和La $5d_{xy}$轨道联系起来.

英文摘要:

After the significant discovery of the hole-doped nickelate compound Nd$_{0.8}$Sr$_{0.2}$NiO$_2$, an analysis of the electronic structure, orbital components, Fermi surfaces and band topology could be helpful to understand the mechanism of its superconductivity. Based on the first-principles calculations, we find that Ni $3d_{x^2-y^2}$ states contribute the largest Fermi surface. $Ln~5d_{3z^2-r^2}$ states form an electron pocket at $Γ$, while $5d_{xy}$ states form a relatively bigger electron pocket at A. These Fermi surfaces and symmetry characteristics can be reproduced by our two-band model, which consists of two elementary band representations: $B_{1g}@1a~\oplus~A_{1g}@1b$. We find that there is a band inversion near A, giving rise to a pair of Dirac points along A--M below the Fermi level once including spin-orbit coupling. Furthermore, we have performed the LDA+Gutzwiller calculations to treat the strong correlation effect of Ni 3d orbitals. In particular, the bandwidth of $3d_{x^2-y^2}$ has been renormalized largely. After the renormalization of the correlated bands, the Ni $3d_{xy}$ states and the Dirac points become very close to the Fermi level. Thus, a hole pocket at A could be introduced by hole doping, which may be related to the observed sign change of Hall coefficient. By introducing an additional Ni $3d_{xy}$ orbital, the hole-pocket band and the band inversion can be captured in our modified model. Besides, the nontrivial band topology in the ferromagnetic two-layer compound La$_3$Ni$_2$O$_6$ is discussed and the band inversion is associated with Ni $3d_{x^2-y^2}$ and La $5d_{xy}$ orbitals.

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