Self-Consistent Field Theory for Correlated Electrons in Solids

固体中相关电子的自洽场论

• 批准号: 9811381
• 负责人: Nelson Bickers
• 金额: $ 16.5万
• 依托单位: University of Southern California
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1998
• 资助国家: 美国
• 起止时间: 1998-08-01 至 2001-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9811381&HistoricalAwards=false
• 关键词: Self; Consistent; Field; Theory; Correlated

9811381 Bickers Theoretical and computational research will be continued on this project to study the properties of correlated electrons in solids within the framework of one-body and two-body self- consistent approximations. Such approximations constitute the natural generalization of Hartree-Fock theories to systems with strong interactions and large electronic fluctuations, including the cuprate high-temperature superconductors. The research proposed concentrates on (a) the extension of the one-body self-consistent field approach to models with arbitrary space-and time-dependent interactions, and (b) the development of a computationally efficient technique for solving the parquet problem in low- dimensional systems. These projects are made possible by using a novel representation for two-body scattering vertices. %%% This theoretical research project involves developing computational techniques to deal with electronic systems, such as the high temperature superconductors, where the electrons interact strongly. In cases such as these, conventional theoretical and computational techniques fail to provide accurate results. If successful, the project will have wide application. ***

9811381将继续对该项目进行比克斯理论和计算研究，以在一体和两体自洽近似的框架内研究固体中关联电子的性质。这样的近似构成了Hartree-Fock理论对强相互作用和大电子涨落系统的自然推广，包括铜酸盐高温超导体。提出的研究集中在(A)将一体自洽场方法扩展到具有任意依赖于空间和时间的相互作用的模型，以及(B)发展一种计算高效的技术来解决低维系统中的拼花问题。这些项目是通过使用一种新的二体散射顶点表示法来实现的。这个理论研究项目涉及开发计算技术来处理电子系统，例如高温超导体，其中电子相互作用强烈。在这样的情况下，传统的理论和计算技术无法提供准确的结果。如果成功，该项目将具有广泛的应用前景。***