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Updated: Mar 12, 2026

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在完全可解决的Hatsugai-Kohmoto模型中对非扰动的多体方法进行基准测试

Hui Li¹, Ziyu Li², Run-Yu Chen³

¹Zhejiang University, Yuquan Campus : 38 Zheda Road, Hangzhou 310027, Hangzhou, 310058, China.

Journal of physics. Condensed matter : an Institute of Physics journal

|March 10, 2026

概括

我们使用精确可解决的Hatsugai-Kohmoto (HK) 模型评估了强烈相关的系统的多体近似. 该GW近似显示了一个新的分支准确地复制了差距结构.

科学领域:

凝聚物质物理学凝聚物质物理学
量子多体理论就是量子多体理论.
计算物理学的计算物理.

背景情况:

模拟强烈相关的电子系统,特别是非费米液态,是一个重大挑战.
现有的非扰动方法经常与决定性量子蒙特卡洛 (DQMC) 进行基准测试,面临诸如费米子符号问题和分析延续不确定性等局限性.

研究的目的:

严格评估三种多体近似 ($GW$, $HGW$, $SGW$) 对于强烈相关的系统.
使用完全可解决的Hatsugai-Kohmoto (HK) 模型作为一个基准平台.
改进对强烈相关的制度中的 $GW$ 方法的理解.

主要方法:

使用精确可解决的Hatsugai-Kohmoto (HK) 模型.
将格林的函数,光谱特性和响应函数与精确的解决方案进行比较.
使用共变形式主义来进行响应函数分析.

主要成果:

以前被认为不足以产生强相关性的$GW$近似值,揭示了一个新的解决方案分支,准确地捕捉了HK模型的差距结构.
$HGW$近似准确地描述了充电响应.
$SGW$近似证明了在描述旋转相关性方面的熟练程度.

结论:

哈茨盖-科莫托 (Hatsugai-Kohmoto,HK) 模型是评估多体方法的有效基准.
$GW$近似在强烈相关的系统中具有以前未被识别的功能.
该研究提供了关于在不同相关系制度下$GW$,$HGW$和$SGW$方法的性能的见解.

关键词:

绿色的功能是绿色的功能.哈苏盖 - 科莫托模型模型非扰动场理论的非扰动场理论.

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