Dynamical local-field factors and effective interactions in the three-dimensional electron liquid.
Dynamical local-field factors and effective interactions in the three-dimensional electron liquid.
复制标题
三维电子液体中的动态局部场因素和有效相互作用。
DOI：
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发表时间：
2003
期刊：
影响因子：
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通讯作者：
Ashcroft
中科院分区：
文献类型：
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作者：
Richardson;Ashcroft
我们提出了一个分析研究的动力学局部场的因素与响应的均匀的二维相互作用的电子液体的动量，频率和密度的函数。我们推导出的总和规则，限制他们的渐近形式（动量和频率）的自旋对称和自旋反对称的情况下。局部场因子的参数化表达式提出，所有可用的总和规则和多体微扰理论的基础上，这些被发现是在良好的协议与量子蒙特卡罗计算。最后，这些表达式被用来评估有效的电子-电子相互作用的局部近似的二维系统。结果表明，定量和定性的相互作用的行为是敏感的动力学相关的列入。
We present an analytical study of the dynamical local-field factors associated with the response of a homogeneous two-dimensional interacting electron liquid as functions of momentum, frequency, and density. We derive sum rules that constrain their asymptotic forms (in momentum and frequency) for both the spin-symmetric and spin-antisymmetric cases. Parametrized expressions for the local-field factors are proposed, based on all available sum rules and on many-body perturbation theory, and these are found to be in good agreement with quantum Monte Carlo calculations. Finally, these expressions are used to evaluate the effective electron-electron interaction in a local approximation for two-dimensional systems. It is shown that both the quantitative and qualitative behaviors of the interaction are sensitive to the inclusion of dynamical correlations.