Strongly Correlated Fermi Systems

强相关费米系统

• 批准号: 0906943
• 负责人: Gabriel Kotliar
• 金额: $ 48万
• 依托单位: Rutgers University New Brunswick
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2009
• 资助国家: 美国
• 起止时间: 2009-09-01 至 2013-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0906943&HistoricalAwards=false
• 关键词: Strongly; Correlated; Fermi; Systems

TECHNICAL SUMMARYThis award supports theoretical and computational research and education to study strongly correlated electron materials and to develop new theoretical and computational methods with an aim to develop a quantitative and microscopic theoretical framework to describe these materials. Strong correlations in solids drive a wealth of new and unusual physical properties, such as complex charge spin and orbital ordering, unconventional superconductivity, ultrafast nonlinear optical responses, large thermoelectric coefficients, huge volume collapses, and numerous metal-to-insulator transitions. The quantitative understanding of such properties and phenomena has proved to be a major challenge. The PI has been developing extensions of Dynamical Mean Field Theory. This approach reduces the complex many-body problem to a self-consistent finite cluster of sites embedded in a quantum medium. It provides a simpler picture of strongly correlated electron materials and allows computation of their physical properties in parameter regimes where standard theoretical methods fail to capture essential physics. The PI?s approach links low energy simplified pictures of the strong correlation phenomena to methods that model the microscopic complexity of real materials. The PI will study complex strongly correlated materials of current experimental interest and of great fundamental importance. He will focus on many body problems and electronic structure problems posed by uranium- and cerium-based heavy Fermion systems, copper oxides and the recently discovered iron pnictide high temperature superconductors, as well as the physics of electron gases. This work will stimulate close interactions with experimentalists and material scientists.The PI will continue to develop first-principles approaches for carrying out practical computation of the electronic structure of complex correlated materials as well as to develop techniques for solving the quantum many body problem in model Hamiltonians. He will carry out further developments of cluster dynamical mean field theory including methods for adding long wavelength fluctuations to the local physics and new slave particle methods to obtain analytic insights at low energies. This award supports training post-doctoral associates, graduate and undergraduate students in advanced theoretical and computational condensed matter and materials physics. These individuals will develop broad skills to analyze and solve complex problems of import to our modern technological society. NON-TECHNICAL SUMMARYThis award supports theoretical and computational research and education to develop a quantitative and predictive theoretical framework for materials in which the interactions between electrons is very strong. Strong interactions lead to intriguing new states of electronic matter, new phenomena, and unusual materials properties. Example materials include high temperature superconductors which exhibit a cooperative electronic state which exhibits no resistance to the flow of electricity, and related compounds which have unusual electronic properties. Also included is a class of rare earth and actinide compounds which exhibit a variety of unusual superconducting, magnetic, and metallic states. Calculating the electronic properties of these materials is lies beyond the most powerful computers that exist today. The PI will pursue an approach that links simplified models that contain essential physics with the most powerful methods that can calculate electronic states for real materials in microscopic detail. His research further develops these methods and applies them to understand new experiments on these materials in a timely way.This award supports training post-doctoral associates, graduate and undergraduate students in advanced theoretical and computational condensed matter and materials physics. These individuals will develop broad skills to analyze and solve complex problems of import to our modern technological society.

技术摘要这一奖项支持理论和计算研究和教育，以研究密切相关的电子材料并开发新的理论和计算方法，以开发定量和显微镜的理论框架来描述这些材料。固体的强相关性促进了许多新的和不寻常的物理特性，例如复杂的电荷自旋和轨道订购，非常规的超导性，超快的非线性光学响应，较大的热电系数，巨大的体积崩溃，大量的金属对禁药转换。对这种特性和现象的定量理解已被证明是一个主要挑战。 PI一直在开发动态平均场理论的扩展。这种方法将复杂的多体问题减少到嵌入量子介质中的自洽有限位点群集。它提供了更简单的图片，即强相关的电子材料，并允许在标准理论方法无法捕获基本物理的参数方面计算其物理特性。 PI的方法将低能量简化的强相关现象的图片与模拟真实材料的显微镜复杂性的方法相关联。 PI将研究复杂的当前实验兴趣和极为重要性的复杂材料。他将专注于许多人体问题和电子结构问题，由铀和石的重型费米子系统，铜氧化物以及最近发现的铁虫高温超导体以及电子气体物理学提出。这项工作将刺激与实验者和材料科学家的密切相互作用。PI将继续开发第一原理方法，以对复杂相关材料的电子结构进行实际计算，以及开发解决模型中量子许多身体问题的技术哈密​​顿人。他将进一步开发群集动态平均场理论，包括在局部物理学和新的从属粒子方法中添加长波长波动的方法，以在低能量下获得分析见解。该奖项支持高级理论和计算凝结物质和材料物理学的培训后的同事，研究生和本科生。这些人将发展广泛的技能，以分析和解决对我们现代技术社会的复杂问题。非技术摘要这一奖项支持理论和计算研究和教育，以开发一个定量和预测的理论框架，以实现电子之间的相互作用非常强大。强烈的相互作用导致了有趣的电子物质，新现象和异常材料特性的新状态。示例材料包括高温超导体，其表现出合作电子状态，该状态对电的流动没有抗性，以及具有异常电子特性的相关化合物。还包括一类稀土和actinide化合物，它们表现出各种异常的超导，磁性和金属状态。计算这些材料的电子特性在于当今存在的最强大的计算机。 PI将采用一种方法，该方法将包含必需物理的简化模型与最强大的方法联系起来，这些方法可以通过微观细节计算真实材料的电子状态。他的研究进一步开发了这些方法，并将它们应用于及时了解这些材料的新实验。该奖项支持培训高级理论和计算凝结物质和材料物理学的培训后的助理，研究生和本科生。这些人将发展广泛的技能，以分析和解决对我们现代技术社会的复杂问题。