论文标题
非本地电子相互作用的局部自下而上的有效理论
Local bottom-up effective theory of non-local electronic interactions
论文作者
论文摘要
基本上理解和预测固体和大分子的特性的基本障碍是，对于这些系统，描述超出平均场水平的量子级别的量子力学相互作用是非常具有挑战性的。在这里，我们表明，在许多电子系统中描述局部和非本地相互作用的看似存在的物理问题之间存在确切的双重等效关系。这是使用晶格仪理论中量子链接方法的理论构造类似物来完成的，该方法具有非本地电子电子相互作用，就好像它们是由辅助高能费尔米度颗粒介导的，以纯粹的定位方式相互作用。除了提供解释的替代理论方向外，该结果还可以使我们能够利用已经可用的强大的最新理论和计算框架在同一基础上研究本地和非本地互动。
A cardinal obstacle to understanding and predicting quantitatively the properties of solids and large molecules is that, for these systems, it is very challenging to describe beyond the mean-field level the quantum-mechanical interactions between electrons belonging to different atoms. Here we show that there exists an exact dual equivalence relationship between the seemingly-distinct physical problems of describing local and non-local interactions in many-electron systems. This is accomplished using a theoretical construction analogue to the quantum link approach in lattice gauge theories, featuring the non-local electron-electron interactions as if they were mediated by auxiliary high-energy fermionic particles interacting in a purely-local fashion. Besides providing an alternative theoretical direction of interpretation, this result may allow us to study both local and non-local interactions on the same footing, utilizing the powerful state-of-the-art theoretical and computational frameworks already available.
