Physics of Strongly-Interacting, Many-Electron Systems

这笔赠款支持旨在计算和了解强相互作用、多电子材料的物理性质的理论研究。对Heisenberg、Hubbard、t-J和电子-声子Holstein模型等基本模型进行了数值计算和唯象分析计算。这项研究的目标是了解特定系统的属性。具体地说，一个给定的系统表现出什么样的有序或竞争有序，如反铁磁性、电荷密度波、超导、条形域壁的形成或具有量子数分数的隐藏拓扑有序。此外，导致这些现象的基本机制是什么，是什么限制了能量标度或温度，这些不同的顺序出现在哪里。这个小组是强相互作用多体物理计算研究的世界领先者之一。这笔拨款支持旨在计算和理解强相互作用多电子材料的物理性质的理论研究。所解决的问题处于该领域的前沿，所使用的数值方法是最先进的。PI与学生和博士后合作也非常成功。*

This grant supports theoretical research aimed at calculating and understanding the physical properties of strongly interacting, many-electron materials. Numerical, as well as phenomenological analytic calculations for basic models such as the Heisenberg, Hubbard, t-J, and the electron-phonon Holstein model are proposed. The goal of this research is to understand the properties of specific systems. In particular, what type of order or competing orders, such as antiferromagnetism, charge density wave, superconductivity, stripe domain wall formation, or hidden topological order with quantum number fractionalization does a given system exhibit. In addition, what are the basic mechanisms responsible for these phenomena and what limits the energy scales or temperatures, where these various orders appear. This group is one of the world leaders in computational studies of strongly interacting many-body physics.%%% This grant supports theoretical research aimed at calculating and understanding the physical properties of strongly interacting, many-electron materials. The problems addressed are at the forefront of of the field and the numerical methods used are state-of-the-art. The PI has also been very successful working with students and postdoctoral associates.***