论文标题

固体中远程校正后的核和范围分离杂种的比较

Comparison of long-range corrected kernels and range-separated hybrids for excitons in solids

论文作者

Maji, Rita, Degoli, Elena, Calatayud, Monica, Véniard, Valérie, Luppi, Eleonora

论文摘要

描述激子的最准确的理论方法是GW近似(GW-BSE)中Bethe-Salpeter方程的解。但是,由于其计算成本,时间依赖性密度功能理论(TDDFT)已成为GW-BSE的替代方法,以描述固体中的激子。如今,描述TDDFT中固体光谱的最有效策略是在GW或经过剪刀校正的能量之上使用远程校正的交换相关核。近年来,在时间依赖性的广义Kohn-Sham密度功能理论(TDGKSDFT)的框架内开始开发基于范围分离杂种功能的不同策略。在这里,我们将远程校正内核的性能与范围分离的混合功能进行比较,以描述固体中的激子。该比较的目的是加重使用范围分离的混合功能的利弊,从而为这些功能的理论发展提供了新的观点。我们说明了固态激子代表SI和LIF的比较。

The most accurate theoretical method to describe excitons is the solution of the Bethe-Salpeter equation in the GW approximation (GW-BSE). However, because of its computation cost, time-dependent density functional theory (TDDFT) is becoming the alternative approach to GW-BSE to describe excitons in solids. Nowadays, the most efficient strategy to describe optical spectra of solids in TDDFT is to use long-range corrected exchange-correlation kernels on top of GW or scissor-corrected energies. In recent years, a different strategy based on range-separated hybrid functionals started to be developed in the framework of time-dependent generalised Kohn-Sham density functional theory (TDGKSDFT). Here, we compare the performance of long-range corrected kernels with range-separated hybrid functionals for the description of excitons in solids. This comparison has the purpose to weight the pros and cons of using range-separated hybrid functionals, giving new perspectives for theoretical developments of these functionals. We illustrate the comparison for the case of Si and LiF, representative of solid state excitons.

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