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和教育，重点是粒子在量子多体系统中的相关性。 该研究的主要力量在于在光晶格陷阱中超速原子中的莫特过渡研究。 PI的目的是扩展我们对均匀晶格中bose-Hubbard Hamiltonian中关键现象的理解，以使空间变化的单粒子电势可以在局部改变填充和可压缩性。对葡萄量崩溃的研究包括次要推力。 PI的目的是完善他对动态平均场理论的应用及其扩展到铜质体积塌陷的应用，在4-F轨道中的金属 - 绝缘体过渡被认为起着至关重要的作用。量子蒙特卡洛技术将用于所需的数值模拟。该奖项还支持将学生整合到研究生和本科级别的研究活动中。 PI将继续他的活动，以使来自代表性不足小组的学生参与研究并与高中生的宣传。 %% %%该奖项支持理论和计算研究和教育，重点是粒子在量子多体系统中的相关性作用。 该研究的主要力量在于在极低温度下的原子研究被“捕获”在空间周期性的晶格中。人们认为，这种原子物理系统为强相关的电子材料和某些超导体提供了有用的类似物，但是与材料中的电子不同，该系统可以在实验上“可调”，从而可以相对轻松地详细探索不同的物理状态。传统的晶格模型，用于强相关的电子材料，例如哈伯德模型被认为可以描述这些系统。专注于这些被困的原子系统，PI将研究金属超导和绝缘状态的类似物之间的过渡，并探索这些系统中可能出现的物质的外来状态。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。 PI的目的是完善最近开发的方法，用于包括电子之间相关性的影响，以研究一种“金属 - 绝缘体过渡”，据信它发生在占据元素元素的4-F壳原子轨道的电子中。量子蒙特卡洛技术将用于所需的数值模拟。该奖项还支持将学生整合到研究生和本科级别的研究活动中。 PI将继续他的活动，以使来自代表性不足小组的学生参与研究并与高中生的宣传。***