Xu Yueshan, Zhao Jianzhou, Yi Changjiang, Wang Qi, Yin Qiangwei, Wang Yilin, Hu Xiaolei, Wang Luyang, Liu Enke, Xu Gang, Lu Ling, Soluyanov Alexey A, Lei Hechang, Shi Youguo, Luo Jianlin, Chen Zhi-Guo
Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, 100190, Beijing, China.
School of Physical Sciences, University of Chinese Academy of Sciences, 100190, Beijing, China.
Nat Commun. 2020 Aug 10;11(1):3985. doi: 10.1038/s41467-020-17234-0.
The interplay between electronic correlations and topological protection may offer a rich avenue for discovering emergent quantum phenomena in condensed matter. However, electronic correlations have so far been little investigated in Weyl semimetals (WSMs) by experiments. Here, we report a combined optical spectroscopy and theoretical calculation study on the strength and effect of electronic correlations in a magnet CoSnS. The electronic kinetic energy estimated from our optical data is about half of that obtained from single-particle ab initio calculations in the ferromagnetic ground state, which indicates intermediate-strength electronic correlations in this system. Furthermore, comparing the energy and side-slope ratios between the interband-transition peaks at high energies in the experimental and single-particle-calculation-derived optical conductivity spectra with the bandwidth-renormalization factors obtained by many-body calculations enables us to estimate the Coulomb-interaction strength (U ∼ 4 eV) in CoSnS. Besides, a sharp experimental optical conductivity peak at low energy, which is absent in the single-particle-calculation-derived spectrum but is consistent with the optical conductivity peaks obtained by many-body calculations with U ∼ 4 eV, indicates that an electronic band connecting the two Weyl cones is flattened by electronic correlations and emerges near the Fermi energy in CoSnS. Our work paves the way for exploring flat-band-generated quantum phenomena in WSMs.
电子关联与拓扑保护之间的相互作用可能为发现凝聚态物质中的新兴量子现象提供一条丰富的途径。然而,到目前为止,实验对 Weyl 半金属(WSMs)中的电子关联研究甚少。在此,我们报告了一项关于磁性 CoSnS 中电子关联强度和效应的光学光谱与理论计算相结合的研究。从我们的光学数据估计的电子动能约为铁磁基态下单粒子从头算计算所得动能的一半,这表明该系统中存在中等强度的电子关联。此外,将实验和单粒子计算得出的光导率谱中高能区带间跃迁峰的能量和边坡比与多体计算得到的带宽重整化因子进行比较,使我们能够估计 CoSnS 中的库仑相互作用强度(U ∼ 4 eV)。此外,在低能量处有一个尖锐的实验光导率峰,该峰在单粒子计算得出的谱中不存在,但与 U ∼ 4 eV 的多体计算得到的光导率峰一致,这表明连接两个 Weyl 锥的电子能带因电子关联而变平,并在 CoSnS 的费米能附近出现。我们的工作为探索 WSMs 中平带产生的量子现象铺平了道路。