Postdoc: Algorithm for Treating Correlated Many-Fermion Systems on a Lattice, the Constrained Path Monte-Carlo (CPMC) Method

博士后：处理格子上相关多费米子系统的算法，约束路径蒙特卡罗（CPMC）方法

• 批准号: 9625575
• 负责人: John Wilkins
• 金额: $ 4.62万
• 依托单位: Ohio State University Research Foundation -DO NOT USE
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1996
• 资助国家: 美国
• 起止时间: 1996-09-01 至 1999-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9625575&HistoricalAwards=false
• 关键词: Postdoc; Algorithm; Treating; Correlated; Many

This project will address a central algorithmic problem in computational physics, namely, reliable calculations for strongly interacting quantum mechanical systems that obey fermion statistics. Some examples of such systems include high-temperature superconductors, heavy-fermion metals, and magnetic materials. The challenge lies in the correct and accurate treatment of microscopic correlations, which is essential to understanding the properties of these systems and their theoretical and technological implications. The project will be based on a recently developed algorithm for treating correlated many-fermion systems on a lattice, the Constrained Path Monte Carlo (CPMC) Method. It consists of three separate but closely related parts: (1) The Ground-State Properties of Prototypical Lattice models for Electron Correlation; (2) Finite Temperature; (3) Continuum Systems. All of this will be done in the context of scaleable parallel computing algorithms, a critical aspect of the problem of studying lattice models of great relevance to high-temperature superconductors and heavy-fermion materials. A new version of the CPMC algorithms will be developed for finite temperature calculations. This will enable studies of thermodynamically properties and true phase transitions. This project will also extend the algorithm to the continuum, which will enable more realistic calculations of materials.

该项目将解决计算物理学中的一个核心算法问题，即服从费米子统计的强相互作用量子力学系统的可靠计算。 此类系统的一些示例包括高温超导体、重费米子金属和磁性材料。 挑战在于正确和准确地处理微观相关性，这对于理解这些系统的特性及其理论和技术含义至关重要。 该项目将基于最近开发的用于处理晶格上相关多费米子系统的算法，即约束路径蒙特卡罗（CPMC）方法。 它由三个独立但密切相关的部分组成：（1）电子相关原型晶格模型的基态性质； (2) 有限温度； (3)连续体系统。 所有这些都将在可扩展的并行计算算法的背景下完成，这是研究与高温超导体和重费米子材料密切相关的晶格模型问题的一个关键方面。 将开发新版本的 CPMC 算法用于有限温度计算。 这将使热力学性质和真实相变的研究成为可能。 该项目还将算法扩展到连续体，这将使材料的计算更加真实。