Metal-Insulator Transitions in Correlated Quantum Systems

相关量子系统中的金属-绝缘体跃迁

• 批准号: 0312261
• 负责人: Richard Scalettar
• 金额: $ 18万
• 依托单位: University of California-Davis
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2003
• 资助国家: 美国
• 起止时间: 2003-09-01 至 2006-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0312261&HistoricalAwards=false
• 关键词: Metal; Insulator; Transitions; Correlated; Quantum

This award supports theoretical and computational research and education that focuses on the role of correlations among particles in quantum many-body systems. The primary thrust of the research lies in the study of the Mott transition in ultracold atoms in optical lattice traps. The PI aims to extend our understanding of critical phenomena in the Bose-Hubbard Hamiltonian on a uniform lattice to the case where a spatially varying one-particle potential can locally alter the filling and compressibility. A study of the cerium volume collapse comprises a secondary thrust. The PI aims to refine his application of the dynamical mean field theory and its extensions to the cerium volume collapse, where a metal-insulator transition in 4-f orbitals is thought to play a crucial role. Quantum Monte Carlo techniques will be used for required numerical simulations. This award also supports the integration of students into research activities at graduate and undergraduate levels. The PI will continue his activities in involving students from underrepresented groups in research and in outreach to high school students. %%%This award supports theoretical and computational research and education that focuses on the role of correlations among particles in quantum many-body systems. The primary thrust of the research lies in the study of atoms at extremely low temperature that are "trapped" in spatially periodic lattices. This atomic physics system is believed to provide a useful analog for a strongly correlated electron material and some superconductors, but unlike electrons in materials, this system may be experimentally "tunable" enabling detailed exploration of different physical states with relative ease. Traditional lattice models for strongly correlated electron materials, e.g. the Hubbard model, are believed to describe these systems. Focusing on these trapped atom systems, the PI will study a transition between analogs of superconducting and insulating states in metals and explore exotic states of matter that can arise in these systems. An aim of this work is to study atomic lattice trap systems to elucidate the complex physics of superconductors and strongly correlated materials. The PI aims to refine recently developed methods for including the effects of correlations among electrons to study a kind of "metal-insulator transition" that is believed to occur in the electrons occupying 4-f shell atomic orbitals of the element cerium. Quantum Monte Carlo techniques will be used for required numerical simulations. This award also supports the integration of students into research activities at graduate and undergraduate levels. The PI will continue his activities in involving students from underrepresented groups in research and in outreach to high school students.***

该奖项支持理论和计算研究及教育，重点关注量子多体系统中粒子之间的相关性的作用。 该研究的主要重点在于研究光学晶格陷阱中超冷原子的莫特跃迁。 该 PI 旨在扩展我们对均匀晶格上 Bose-Hubbard Hamiltonian 关键现象的理解，以适应空间变化的单粒子势可以局部改变填充和可压缩性的情况。对铈体积塌缩的研究包括二次推力。 PI 的目标是完善动态平均场理论的应用及其对铈体积塌陷的扩展，其中 4-f 轨道中的金属-绝缘体转变被认为发挥着至关重要的作用。量子蒙特卡罗技术将用于所需的数值模拟。该奖项还支持学生融入研究生和本科生的研究活动。 PI 将继续开展让代表性不足群体的学生参与研究和向高中生推广的活动。 %%%该奖项支持理论和计算研究和教育，重点关注量子多体系统中粒子之间的相关性的作用。 该研究的主要目的在于研究极低温度下被“捕获”在空间周期性晶格中的原子。该原子物理系统被认为为强相关电子材料和一些超导体提供了有用的模拟，但与材料中的电子不同，该系统可以通过实验“可调”，从而能够相对轻松地详细探索不同的物理状态。强相关电子材料的传统晶格模型，例如哈伯德模型被认为描述了这些系统。 PI 将重点关注这些被捕获的原子系统，研究金属中超导态和绝缘态类似物之间的转变，并探索这些系统中可能出现的奇异物质态。这项工作的目的是研究原子晶格陷阱系统，以阐明超导体和强相关材料的复杂物理原理。该 PI 旨在完善最近开发的方法，将电子之间相关性的影响纳入其中，以研究一种“金属-绝缘体转变”，这种转变被认为发生在占据元素铈 4-f 壳层原子轨道的电子中。量子蒙特卡罗技术将用于所需的数值模拟。该奖项还支持学生融入研究生和本科生的研究活动。 PI 将继续开展让代表性不足群体的学生参与研究和向高中生推广的活动。***