Self-Consistent Field Theory for Correlated Electrons in Solids

本项目将继续进行理论和计算研究，在一体和二体自洽近似的框架内研究固体中相关电子的性质。这种近似构成了Hartree-Fock理论对强相互作用和大电子涨落系统的自然推广，包括铜高温超导体。提出的研究集中于(a)将单体自洽场方法扩展到具有任意时空依赖相互作用的模型，以及(b)开发一种计算效率高的技术来解决低维系统中的嵌木地板问题。通过使用一种新的双体散射顶点表示，这些项目成为可能。这个理论研究项目涉及开发处理电子系统的计算技术，例如电子相互作用强烈的高温超导体。在这种情况下，传统的理论和计算技术无法提供准确的结果。如果成功，该项目将有广泛的应用。＊＊＊

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. ***