KeldyshQFT:用于实频多循环功能重规范化组和单不纯安德森模型的板块计算的C++代码库
Nepomuk Ritz1, Anxiang Ge1, Elias Walter1
1Arnold Sommerfeld Center for Theoretical Physics, Center for NanoScience, and Munich Center for Quantum Science and Technology, Ludwig-Maximilians-Universität München, 80333 Munich, Germany.
The Journal of chemical physics
|August 7, 2024
概括
我们介绍了一个计算框架,用于计算单不纯安德森模型中的动态相关函数. 这种先进的工具使用功能性重规范化组和方程方程来获得准确的真实频率结果.
科学领域:
- 凝聚物质物理学 凝聚物质物理学
- 量子多体理论 量子多体理论
- 计算物理 计算物理
背景情况:
- 单杂质安德森模型是理解强相关电子系统的关键理论工具.
- 在真实频率中计算动态相关函数带来了重大的计算挑战,特别是关于四点顶点的计算.
- 现有的方法经常与真实频率依赖和凯尔迪什形式主义的复杂性作斗争.
研究的目的:
- 介绍和详细介绍一个新的计算框架,用于准确的实频动态相关函数.
- 为了解决与四点顶点的三维实频依赖相关的计算瓶.
- 提供灵活和高效的代码库,用于研究单次不洁的安德森模型.
主要方法:
- 凯尔迪什形式主义中的量子场理论用于直接的实频计算.
- 实现功能重规范化组 (fRG) 和自相一致的方程组.
- MPI+OpenMP并行化,矢量化和优化数据结构以实现高性能.
- 多循环fRG计算到任意循环顺序与自相一致的自我能量代.
主要成果:
- 一个单不纯安德森模型的计算框架的详细阐述.
- 代码库有效地处理了凯尔迪什形式主义和实频依赖.
- 包括高级功能,如多循环fRG和自我一致的自我能源更新.
- 为各种调节器 (混合,相互作用,频率,温度) 提供实现.
结论:
- 开发的框架为计算动态相关函数提供了一种强大而准确的方法.
- 该代码库显著提升了研究相关电子系统的计算能力.
- 这项工作为凝聚物质和量子多体物理学研究人员提供了宝贵的资源.
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