Numerical studies of spin and charge dynamics in correlated electron systems

本项目的目的是数值研究低维关联电子系统中自旋自由度和电荷自由度的相互作用。特别是，我们将集中在晶格磁性杂质嵌入在金属主机的问题。这对于理解重电子系统以及近藤绝缘体是相关的。描述上述物理的原型模型是近藤晶格哈密顿量。我们解决这个问题的动机是由一种新的数值方法触发的，该方法使我们能够使用量子蒙特卡罗方法对上述模型在任意维度进行有效的模拟。这使得一系列有趣的研究课题成为可能。

The aim of this project is to study numerically the interplay of spin and charge degrees of freedom in low dimensional correlated electron systems. In particular we will concentrate on the issue of lattices magnetic impurities embedded in a metallic host. This is relevant for the understanding of heavy electron systems als well as Kondo insulators. The prototype model to describe the above physics is the Kondo lattice Hamiltonian. Our motivation to tackle this subject is triggered by a novel numerical approach which enables us to use quantum Monte Carlo methods to carry out efficient simulations of the above mentioned model in arbitrary dimensions. This enables a series of interesting research subjects.