Physics of Strongly-Interacting, Many-Electron Systems

这个项目的目的是计算和理解强相互作用多电子系统的物理性质。它包括对海森堡、哈伯德和t-J模型等基本晶格哈密顿量的数值和唯象分析计算。这些模型展示了包括反铁磁性、电荷密度波、超导、磁畴壁形成和相分离在内的广泛的相，这些相描述了许多具有重要磁性和超导性质的材料中的相似行为。这项工作的目标是了解导致这种丰富的相阵列的基本机制和竞争，并开发出可靠的方法来计算它们的性质。许多具有潜在技术和商业意义的磁性和超导性质的新材料，如高温超导体，不能用假设电子之间相互作用的平均场行为的电子结构的理论模型来充分描述。这类系统需要使用包含电子之间显式关联效应的模型。这项研究旨在提高我们对材料的电子性质的理解，其中多电子效应主导着有趣的电子性质，并将对推动这种具有重要技术意义的材料的开发和使用起到关键作用。

9817242ScalapinoThis project is for work aimed at calculating and understanding the physical properties of strongly-interacting many-electron systems. It includes both numerical and phenomenological analytic calculations for basic lattice Hamiltonians such as the Heisenberg, Hubbard, and t-J models. These models exhibit a wide range of phases including antiferromagnetism, charge density waves, superconductivity, domain wall formation, and phase separation that are descriptive of similar behavior in many materials with technologically important magnetic and superconducting properties. The goal of this work is to understand the basic mechanisms and competition that lead to this rich array of phases and to develop reliable ways of calculating their properties.%%%Many novel materials with magnetic and superconducting properties of potential technological and commercial importance, such as high-temperature superconductors, cannot be adequately described by theoretical models for the electronic structure that assume a mean-field behavior for the interactions between electrons. Such systems require the use of models which incorporate explicit correlation effects between electrons. This research aims to improve our understanding of the electronic properties of materials where many-electron effects dominate the interesting electronic properties, and will be critical in advancing the development and use of such technologically important materials.***