电子相关性能量的通用化多体扰动理论:通过图形总结的多参考随机相近似
Yuqi Wang1, Wei-Hai Fang1, Zhendong Li1
1Key Laboratory of Theoretical and Computational Photochemistry, Ministry of Education, College of Chemistry, Beijing Normal University, Beijing 100875, China.
这项研究引入了一个新的图形多参数多体扰动理论 (MBPT) 强相关的系统. 这种新的方法成功地解决了现有方法的局限性,使复杂分子系统能够进行准确的相关性能量计算.
科学领域:
- 计算化学和物理计算化学和物理
- 量子力学就是量子力学.
- 材料科学 材料科学 材料科学
背景情况:
- 使用格林函数和费曼图的多体扰动理论 (MBPT) 是RPA和GW等ab initio方法的基础.
- 由于维克定理的分解,标准MBPT对于具有强大的多引用特征的系统失败了.
- 将图形MBPT扩展到多参数系统是具有挑战性和未经探索的.
研究的目的:
- 开发MBPT的图形多引用概括,用于计算强相关系系统中的相关性能量.
- 为了弥合凝聚物质MBPT和量子化学的多引用扰动理论 (MRPT) 之间的差距.
- 通过扰乱扩展来处理残余相互作用的同时,允许明确纳入强相关效应.
主要方法:
- 利用多体格林函数的累积扩展,将图形MBPT推广到维克定理之外.
- 通过回顾一般化环图,制定了随机相近似 (RPA) 的多引用 (MR) 扩展.
- 开发了一套统一的方程,适用于单一参考 (SR) 和MR情况.
主要成果:
- 成功开发了一个图形多引用MBPT框架.
- 基准计算表明,多参考RPA (MR-RPA) 克服了在高度相关的系统中单参考RPA (SR-RPA) 的失败.
- MR-RPA 公式为 SR 和 MR 场景提供了统一的方法.
结论:
- 开发的理论框架有效地计算了强烈相关的系统的相关性能量.
- 这一进步使得在图形扰动扩张中能够明确处理强相关性效应.
- 铺平了使用图形概要技术改进初始计算方法的道路.
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