Physics of Strongly-Interacting, Many-Electron Systems

该基金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。数值计算，以及现象学分析计算的基本模型，如海森堡，哈伯德，t-J，和电子-声子霍尔斯坦模型提出。这项研究的目的是了解特定系统的特性。特别是，给定的系统表现出什么样的顺序或竞争顺序，如反铁磁性、电荷密度波、超导性、条纹畴壁形成或量子数分数化的隐藏拓扑顺序。另外，造成这些现象的基本机制是什么，是什么限制了能量尺度或温度，在这些不同的顺序出现的地方。这个小组是强相互作用多体物理计算研究的世界领导者之一。该基金支持理论研究，旨在计算和理解强相互作用的多电子材料的物理性质。所解决的问题是在该领域的最前沿，所使用的数值方法是最先进的。PI也非常成功地与学生和博士后合作

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.***