Strong Electron Correlations and Quantum Critical Phenomena

该奖项支持基础理论研究和教育，旨在阐明凝聚态理论研究的两个前沿问题：1)无序薄膜中超导性的破坏；2)在高温超导体等强相关材料中观察到的掺杂莫特绝缘体引起的赝隙的起源。PI将继续探索无序是否会破坏超导状态，在薄膜中留下玻璃金属状态。PI将使用涉及动态平均场理论扩展的计算方法来研究发生在掺杂莫特绝缘体中的赝隙的起源。PI还旨在开发一种基于有限大小簇的特征算子计算谱函数的自洽方法。研究了二维稀电子气体中的电荷输运过程。PI将探索当一个干净的维格纳晶体融化时发生的状态的本质以及无序的影响。这项工作将部分涉及使用蒙特卡罗模拟方法。该奖项还支持理论固体物理学的研究生教育。除了培养研究生外，PI还计划编写他的研究生水平教科书“高级固体物理学”的新版本。新版将包括对强相关系统的新材料，并将前沿研究纳入教育文本。PI还计划开发一门关于量子相变的新课程。PI将继续参与对中学生的科学推广工作，并将这项工作扩大到地方学校。该奖项支持基础理论研究和教育，旨在促进我们对强相互作用电子的理解。PI旨在阐明由于电子之间的强相互作用而产生的物质状态的本质以及这些状态是如何出现的。这些仍然是固态物理学前沿的重要问题。该项目侧重于开发理论工具来研究关键实验系统，其中大电子相互作用在开发新型低能电子态和靠近量子临界点的实验系统中发挥主导作用。无序的存在导致新相的可能性，如玻璃。这项工作的重点是了解金属相如何在限于二维的电子中演变，就像在高温超导体和其他材料中发生的那样。该奖项还支持理论固体物理学的研究生教育。除了培养研究生外，PI还计划编写他的研究生水平教科书“高级固体物理学”的新版本。新版将包括对强相关系统的新材料，并将前沿研究纳入教育文本。PI还计划开发一门关于量子相变的新课程。PI将继续参与中学生的科学推广工作，并将这项工作扩大到当地学校

This award supports fundamental theoretical research and education that aims to elucidate two problems at the forefront of research in condensed matter theory: 1) the destruction of superconductivity in disordered than films, and 2.) the origins of pseudogaps arising from doped Mott insulators observed in strongly correlated materials like the high temperature superconductors. The PI will continue to explore whether disorder can destroy the superconducting state leaving a glassy metallic state in thin films. The PI will use computational methods involving an extension of the dynamical mean field theory to investigate the origins of the pseudogap that occurs in doped Mott insulators. The PI also aims to develop a self-consistent method for calculating the spectral functions based on eigenoperators of finite-sized clusters. The charge transport process in dilute 2D electron gasses will be investigated. The PI will explore the nature of the state that occurs when a clean Wigner crystal melts and the effect of disorder. This work will involve, in part, the use of Monte Carlo simulation methods.This award also supports graduate education in theoretical solid state physics. In addition to training graduate students, the PI plans to work on a new edition of his graduate level textbook "Advanced Solid State Physics." The new edition will include new material on strongly correlated systems and incorporate forefront research into an educational text. The PI also plans to develop a new course on Quantum Phase Transitions. The PI will continue to be involved in science outreach to middle school students and will expand this work to include local schools.%%%This award supports fundamental theoretical research and education that seeks to advance our understanding of strongly interacting electrons. The PI aims to elucidate the nature of the states of matter that arise because of strong interactions among electrons and how these states emerge. These remain important problems at the forefront of solid state physics. This project focuses on developing theoretical tools to investigate key experimental systems in which large electron interactions play a dominant role in developing novel low-energy electronic states and experimental systems near quantum critical points. The presence of disorder leads to the possibility of new phases, such as glasses. A focus of this work is on understanding how metallic phases evolve in electrons restricted to two dimensions, as occurs in high temperature superconductors among other materials.This award also supports graduate education in theoretical solid state physics. In addition to training graduate students, the PI plans to work on a new edition of his graduate level textbook "Advanced Solid State Physics." The new edition will include new material on strongly correlated systems and incorporate forefront research into an educational text. The PI also plans to develop a new course on Quantum Phase Transitions. The PI will continue to be involved in science outreach to middle school students and will expand this work to include local schools.***