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arXiv 2103.08206physics.comp-phcond-mat.stat-mechphysics.plasm-ph
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有限温度下无固定节点均匀电子气动量分布的从头算路径积分Monte Carlo方法

Ab initio path integral Monte Carlo approach to the momentum distribution of the uniform electron gas at finite temperature without fixed nodes

Tobias Dornheim, Maximilian Böhme, Burkhard Militzer, Jan Vorberger

摘要:

我们提出了广泛的新的\textit{ab intio}路径积分蒙特卡罗结果的动量分布函数$n(\mathbf{k})$的均匀电子气(UEG)在温暖的稠密物质(WDM)制度在广泛的密度和温度范围。这使我们能够研究非平凡的交换-关联诱导的费米温度附近的低动量态的增加,并调查其连接到相关的动能的降低相比,理想的费米气体。此外,我们研究了量子统计对$n(\mathbf{k})$和非对角密度矩阵的影响,发现即使在强耦合电子液体区域也不能忽略。我们的结果是在没有任何节点约束的情况下得出的,因此构成了其他方法和近似的基准。

英文摘要:

We present extensive new \textit{ab intio} path integral Monte Carlo results for the momentum distribution function $n(\mathbf{k})$ of the uniform electron gas (UEG) in the warm dense matter (WDM) regime over a broad range of densities and temperatures. This allows us to study the nontrivial exchange--correlation induced increase of low-momentum states around the Fermi temperature, and to investigate its connection to the related lowering of the kinetic energy compared to the ideal Fermi gas. In addition, we investigate the impact of quantum statistics on both $n(\mathbf{k})$ and the off-diagonal density matrix in coordinate space, and find that it cannot be neglected even in the strongly coupled electron liquid regime. Our results were derived without any nodal constraints, and thus constitute a benchmark for other methods and approximations.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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