Strongly Correlated Fermi Systems

该奖项支持理论和计算研究和教育，以研究强相关电子材料，并开发新的理论和计算方法，旨在开发定量和微观理论框架来描述这些材料。固体中的强相关性驱动了大量新的和不寻常的物理性质，如复杂的电荷自旋和轨道有序，非常规的超导性，超快的非线性光学响应，大热电系数，巨大的体积坍缩，以及许多金属到绝缘体的转变。对这些性质和现象的定量理解已被证明是一项重大挑战。PI一直在发展动力平均场理论的扩展。这种方法将复杂的多体问题简化为嵌入在量子介质中的自洽有限点簇。它提供了一幅更简单的强相关电子材料的图像，并允许在标准理论方法无法捕捉基本物理的参数体系中计算它们的物理性质。π吗?S方法将强相关现象的低能量简化图像与模拟真实材料微观复杂性的方法联系起来。PI将研究当前实验感兴趣且具有重要基础意义的复杂强相关材料。他将专注于铀和铈基重费米子系统、铜氧化物和最近发现的镍铁高温超导体所带来的许多身体问题和电子结构问题，以及电子气体的物理学。这项工作将激发与实验学家和材料科学家的密切互动。PI将继续发展第一性原理方法，以进行复杂相关材料电子结构的实际计算，并开发解决模型哈密顿量中的量子多体问题的技术。他将进一步发展簇动力学平均场理论，包括在局部物理中加入长波波动的方法和新的从粒子方法，以获得低能的分析见解。该奖项支持培养博士后助理，研究生和本科生在先进的理论和计算凝聚态物质和材料物理。这些人将发展广泛的技能来分析和解决对我们现代技术社会重要的复杂问题。该奖项支持理论和计算研究和教育，为电子之间的相互作用非常强的材料开发定量和预测的理论框架。强相互作用导致电子物质的新状态，新现象和不寻常的材料特性。示例材料包括高温超导体，其表现出对电流没有阻力的合作电子状态，以及具有不寻常电子特性的相关化合物。还包括一类稀土和锕系化合物，它们表现出各种不同寻常的超导、磁性和金属态。计算这些材料的电子特性是当今最强大的计算机所无法企及的。PI将寻求一种方法，将包含基本物理的简化模型与最强大的方法联系起来，这些方法可以在微观细节上计算真实材料的电子状态。他的研究进一步发展了这些方法，并将其及时应用于理解这些材料的新实验。该奖项支持培养博士后助理，研究生和本科生在先进的理论和计算凝聚态物质和材料物理。这些人将发展广泛的技能来分析和解决对我们现代技术社会重要的复杂问题。

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.