标题： 基于功能重正化群辅助的二维均匀电子气体相关能量的密度泛函分析 显示英文标题

标题： Functional-renormalization-group aided density-functional analysis for the correlation energy of the two-dimensional homogeneous electron gas

摘要： 借助函数重正化群的密度泛函理论（FRG-DFT）被应用于二维均匀电子气体（2DHEG）。直接得出了二维均匀电子气体的相关能量与Wigner-Seitz半径 $ r_{\rm s} $ 的关系。我们发现我们的相关能量完全再现了高密度极限下的精确行为。对于有限密度，FRG-DFT的结果在高密度区域与蒙特卡洛（MC）结果有很好的一致性，尽管随着系统变得更加稀疏，FRG-DFT和MC结果之间的差异会变大。我们的研究是首次将FRG-DFT应用于多于一维的模型，表明FRG-DFT是一种可行且有前景的方法，可用于分析量子多体系统的现实模型。 显示英文摘要

摘要： The functional-renormalization-group aided density-functional theory (FRG-DFT) is applied to the two-dimensional homogeneous electron gas (2DHEG). The correlation energy of the 2DHEG is derived as a function of the Wigner-Seitz radius $ r_{\rm s} $ directly. We find that our correlation energy completely reproduces the exact behavior at the high-density limit. For finite density, the result of FRG-DFT shows good agreement with the Monte Carlo (MC) results in the high-density region, although the discrepancy between FRG-DFT and MC results becomes larger as the system becomes more dilute. Our study is the first example in which the FRG-DFT is applied to more-than-one-dimensional models, and shows that the FRG-DFT is a feasible and promising method even for the analysis of realistic models for quantum many-body systems.