来自绿色函数的交换相关性能量
Steven Crisostomo1, E K U Gross2, Kieron Burke1,3
1Department of Physics and Astronomy, <a href="https://ror.org/04gyf1771">University of California, Irvine</a>, California 92697, USA.
Physical review letters
|September 6, 2024
概括
我们提出了一种新的方法来计算密度函数理论 (DFT) 使用格林函数的交换相关性能量. 这种方法提供了一种光谱视图,将量子系统中的单粒子和多粒子效应分开.
科学领域:
- 量子多体物理学 量子多体物理学
- 计算凝聚物质物理学 计算凝聚物质物理学
背景情况:
- 密度函数理论 (DFT) 在基本状态属性方面表现出色.
- 像GW一样,格林的函数方法是光谱函数的标准.
- 在直接将DFT交易所相关性与格林的职能联系起来时存在一个差距.
研究的目的:
- 从格林函数形式主义中推导出 DFT 交换相关性能量.
- 建立DFT交易所相关性的光谱表示.
- 为DFT中的波动-散流定理提供替代方案.
主要方法:
- 使用加利茨基-米格达尔公式.
- 从格林函数中提取交换相关性能量.
- 开发交换相关性的光谱表示.
主要成果:
- 成功地从格林函数中推导出DFT交换相关性能量.
- 展示了一种光谱表示,揭示了不同的单粒子和多粒子贡献.
- 将该方法应用于均电子气体和两个位点的哈伯德模型.
结论:
- 频谱方法为DFT交换相关性提供了一个新的视角.
- 这种方法在格林的函数技术和DFT之间提供了桥梁.
- 这些发现适用于各种量子多体系统.
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