Simulations of Strongly Correlated Materials

这一理论研究的重点是强关联系统，以及课件开发和研究相关代码的传播和文档。这项研究将涉及到团簇平均场技术的继续发展，并将集中在非传统超导体，如铜酸盐和有机超导体，自旋电子材料GaMnAs中的无序、自旋-轨道耦合和关联的影响，以及非局域关联对重费米子材料中耗尽和铁磁性的影响。相关的计算将在大规模并行计算机上进行。将继续开发相关的科学课件。科学和教育成果将很容易在网上获得。这项研究涉及具有重大科学和社会影响的领域。超导在医疗诊断设备和超高性能电子通信滤波器等方面有着重要的应用。如果转变温度足够高，可能会有更多的用途。铁磁半导体为发展自旋电子器件带来了巨大的希望，电子电荷和自旋都被用于具有新功能的器件中。在重费米子材料中，耗尽的作用和铁磁性的起源仍然是人们非常感兴趣的话题，甚至是有争议的。正在开发的集群平均场形式具有从相关有序系统到无序材料的广泛应用。除了在物理期刊上发表结果外，这项研究的影响还通过开发具有广泛应用的新计算算法来增强，更直接地通过在PI的网站上分发这些代码的示例以及在MCC软件档案等科学软件的公共资源库上分发这些代码。分布式代码包括用于分析延拓的最大熵代码，以及动态平均场和动态簇量子蒙特卡罗代码。教育被大量整合到这个项目中，既通过研究生的支持，鼓励他们参加会议，更重要的是通过开发由NSF赞助的在网站上分发的课件。有两门完整的课程，分别用于教授高水平的本科课程以及固体物理和电动力学的研究生入门课程。除了常用的材料外，这些课程还强调现代计算技术。正在为初中和高中开发演示计算机在科学中最基本用法的课件。参加辛辛那提物理探究项目的市内公立学校教师将在暑假学习如何使用它，并在秋季由NSF资助的研究生的帮助下将其带回给他们的学生。这项理论研究的重点是强关联系统，以及与研究相关的代码的开发、传播和文档。教育在很大程度上融入了这个项目，既通过支持研究生，鼓励他们参加会议，更重要的是通过开发在网站上分发的NSF赞助的课程。正在为初中和高中开发演示计算机在科学中最基本用法的课件。*

The focus of this theoretical research is on strongly correlated systems, together with courseware development and the dissemination and documentation of research related codes. The research will involve the continued development of cluster mean field techniques and will focus on unconventional superconductors such as the cuprates and organic superconductors, the effect of disorder, spin-orbit coupling and correlations in the spintronic material GaMnAs, and the effect of non-local correlations on exhaustion and ferromagnetism in heavy Fermion materials. The related calculations will be carried out on massively parallel computers. Related scientific courseware will continue to be developed. Scientific and educational results will be readily accessible on the web.The research addresses areas of significant scientific and social impact. Superconductivity has important applications, such as medical diagnostic equipment and ultra-high-performance electronic communication filters. Many more uses are possible if the transition temperatures are high enough. Ferromagnetic semiconductors have great promise for the development of spintronic devices where both the electronic charge and spin are used in devices with new functionalities. The role of exhaustion and origin of ferromagnetism in heavy Fermion materials remain topics of great interest and even controversy. The cluster mean field formalism being developed has broad applications from correlated ordered systems to disordered materials.Apart from the publication of results in physics journals, the impact of this research is enhanced through the development of new computational algorithms with broad applications, and more directly through the distribution of examples of these codes on the PI's website and on public repositories of scientific software such as the MCC Software Archive. Distributed codes include Maximum Entropy codes for analytic continuation, and dynamical mean field and dynamical cluster Quantum Monte Carlo codes.Education is heavily integrated into this project, both through the support of graduate students, encouraging them to attend meetings, and more importantly through the development of NSF-sponsored courseware distributed on the website. Two complete courses are available, which are used to teach both upper-level undergraduate courses as well as introductory graduate courses in Solid State Physics and Electrodynamics. In addition to the usual materials, these courses emphasize modern computational techniques. Courseware that demonstrates the most basic use of computers in science is being developed for middle and high school. Inner-city public school teachers who participate in the "Physics by Inquiry" programs at Cincinnati will learn to use it during the summer, and bring it back to their students in the fall, assisted by NSF-supported graduate students.%%% The focus of this theoretical research is on strongly correlated systems, together with courseware development and the dissemination and documentation of research related codes. Education is heavily integrated into this project, both through the support of graduate students, encouraging them to attend meetings, and more importantly through the development of NSF-sponsored courseware distributed on the website. Courseware that demonstrates the most basic use of computers in science is being developed for middle and high school.***