论文标题
电子电子相互作用对准晶体中金属状态的影响
Effect of Electron-Electron Interactions on Metallic State in Quasicrystals
论文作者
论文摘要
从理论上讲，我们研究电子电子相互作用对准晶体金属状态的影响。为了解决这个问题，我们在Ammann-Beenker瓷砖上介绍了扩展的Hubbard模型，作为一个简单的理论模型。该模型在不均匀的平均场理论中得到了数值解决。由于缺乏周期性，即使在非相互作用的极限下，金属状态在电子密度上也不均匀。我们阐明了这种电荷分布模式如何随电子电子相互作用而变化。我们发现，场所相互作用以电子孔不对称的方式极大地改变了分布。我们通过在真实和垂直空间中的分析来阐明这些变化的起源。我们的结果提供了一个基本的基础，以了解准晶金属中的电子状态。
We theoretically study the effect of electron-electron interactions on the metallic state of quasicrystals. To address the problem, we introduce the extended Hubbard model on the Ammann-Beenker tiling as a simple theoretical model. The model is numerically solved within an inhomogeneous mean-field theory. Because of the lack of periodicity, the metallic state is nonuniform in the electron density even in the noninteracting limit. We clarify how this charge distribution pattern changes with electron-electron interactions. We find that the intersite interactions change the distribution substantially and in an electron-hole asymmetric way. We clarify the origin of these changes through the analyses in the real and perpendicular spaces. Our results offer a fundamental basis to understand the electronic states in quasicrystalline metals.
