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arXiv 1111.7052physics.atom-phcond-mat.mtrl-sciphysics.comp-ph
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第二排原子价层交换和关联空穴的标度性质

The scaling properties of exchange and correlation holes of the valence shell of second row atoms

Antonio C. Cancio, C. Y. Fong

摘要:

本文利用变分蒙特卡罗方法,特别是相关估计和范数守恒赝势研究了第二排原子价层的交换和关联空穴。众所周知的价壳层的标度提供了一种工具来探测作为密度函数的交换和相关行为,从而测试密度泛函理论的模型。交换孔显示了两种缩放形式之间有趣的竞争-一种是由自相互作用引起的,另一种是在粒子数下近似不变的,与均匀缩放到高密度和恒定粒子数下交换的已知不变性有关。关联洞显示出一个标度的趋势,这是由有限的原子大小相对于洞的半径。这两种趋势都很好地捕捉到了主要的Perdew-Burke-Ernzerhof广义梯度近似模型的交换相关孔和能量。

英文摘要:

We study the exchange and correlation hole of the valence shell of second row atoms using variational Monte Carlo techniques, especially correlated estimates, and norm-conserving pseudopotentials. The well-known scaling of the valence shell provides a tool to probe the behavior of exchange and correlation as a functional of the density and thus test models of density functional theory. The exchange hole shows an interesting competition between two scaling forms -- one caused by self-interaction and another that is approximately invariant under particle number, related to the known invariance of exchange under uniform scaling to high density and constant particle number. The correlation hole shows a scaling trend that is marked by the finite size of the atom relative to the radius of the hole. Both trends are well captured in the main by the Perdew-Burke-Ernzerhof generalized-gradient approximation model for the exchange-correlation hole and energy.

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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