Strong Electron Correlations and Quantum Critical Phenomena

强电子相关性和量子临界现象

• 批准号: 0305864
• 负责人: Philip Phillips
• 金额: $ 26.94万
• 依托单位: University of Illinois at Urbana-Champaign
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2003
• 资助国家: 美国
• 起止时间: 2003-08-15 至 2006-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0305864&HistoricalAwards=false
• 关键词: Strong; Electron; Correlations; Quantum; Critical

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.***

该奖项支持基本的理论研究和教育，旨在阐明凝结物质理论研究的最前沿的两个问题：1）与电影相比，无序的超导性的破坏，以及2。）伪鼠的起源是由掺杂的莫特绝缘子引起的，在高温高温超级可超过材料中观察到的掺杂的莫特绝缘子。 PI将继续探索疾病是否可以破坏超导状态，使薄膜中的玻璃金属状态。 PI将使用涉及动态平均场理论扩展的计算方法来研究掺杂的Mott绝缘子中发生的伪gap的起源。 PI还旨在开发一种基于有限大小簇的特征器来计算光谱函数的自洽方法。将研究稀释2D电子气体中的电荷运输过程。 PI将探索当干净的Wigner晶体融化和无序作用时发生的状态的性质。这项工作将部分涉及蒙特卡洛模拟方法的使用。该奖项还支持理论固态物理学的研究生教育。除了培训研究生外，PI还计划创作他的研究生水平教科书“高级固态物理学”的新版本。新版本将包括有关强度相关系统的新材料，并将前列研究纳入教育文本中。 PI还计划开发有关量子相变的新课程。 PI将继续与中学生有关科学宣传，并将扩大这项工作，包括当地学校。%% %%该奖项支持基本的理论研究和教育，旨在促进我们对强烈互动电子的理解。 PI旨在阐明由于电子之间的强烈相互作用以及这些状态如何出现而出现的物质状态的性质。这些仍然是固态物理学最前沿的重要问题。该项目着重于开发理论工具来研究关键的实验系统，其中大型电子相互作用在开发新型的低能电子状态和量子关键点附近的实验系统方面起着主要作用。疾病的存在导致新阶段的可能性，例如眼镜。这项工作的重点是理解金属阶段在电子中如何限制在两个维度的电子中，就像其他材料中的高温超导体一样。该奖项还支持理论固态物理学的研究生教育。除了培训研究生外，PI还计划创作他的研究生水平教科书“高级固态物理学”的新版本。新版本将包括有关强度相关系统的新材料，并将前列研究纳入教育文本中。 PI还计划开发有关量子相变的新课程。 PI将继续与中学生有关科学宣传，并将扩大这项工作，包括当地学校。***