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arXiv 2512.18754cond-mat.mtrl-sci
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基于范围分离混合泛函的周期系统实时时间依赖密度泛函理论模拟

Real-time time-dependent density functional theory simulations with range-separated hybrid functionals for periodic systems

University of Science and Technology of China(中国科学技术大学);Hefei Comprehensive National Science Center(合肥综合性国家科学中心);Chinese Academy of Sciences(中国科学院)

Yuyang Ji, Haotian Zhao, Peize Lin, Xinguo Ren, Lixin He

AI总结:

本文提出基于范围分离混合泛函的RT-TDDFT方法,用于提高周期系统中超快激子动力学模拟的准确性。

摘要:

实时时间依赖密度泛函理论(RT-TDDFT)是一种研究材料中各种超快现象的强大方法。然而,大多数现有的RT-TDDFT研究依赖于绝热局部或半局部近似,这存在若干不足,包括无法准确捕捉周期系统中的激子效应。将RT-TDDFT与范围分离混合(RSH)泛函相结合,已成为克服这些限制的有效策略。对于周期系统中的RT-TDDFT-RSH实现,需要仔细处理库仑奇点并选择适当的规范来纳入外部场。我们基准了两种处理库仑奇点的方案——截断库仑势能和辅助函数校正,并发现后者在长程校正混合泛函中表现出更好的收敛行为和数值稳定性。此外,我们通过数值原子轨道评估了规范选择对模拟的影响,并表明最近提出的混合规范,其结合位置依赖相位,比传统速度规范提供了更准确的激子吸收描述。我们的实现显著提高了RT-TDDFT-RSH在周期系统中建模超快激子动力学的准确性。

英文摘要:

Real-time time-dependent density functional theory (RT-TDDFT) is a powerful approach for investigating various ultrafast phenomena in materials. However, most existing RT-TDDFT studies rely on adiabatic local or semi-local approximations, which suffer from several shortcomings, including the inability to accurately capture excitonic effects in periodic systems. Combining RT-TDDFT with range-separated hybrid (RSH) functionals has emerged as an effective strategy to overcome these limitations. The RT-TDDFT-RSH implementation for periodic systems requires careful treatment of the Coulomb singularity and choosing proper gauges for the incorporation of external fields. We benchmark two schemes for treating the Coulomb singularity - the truncated Coulomb potential and the auxiliary-function correction - and find that the latter shows better convergence behavior and numerical stability for long-range corrected hybrid functions. Additionally, we assess the impact of gauge choice in simulations using numerical atomic orbitals and show that the recently proposed hybrid gauge incorporating position-dependent phases provides a more accurate description of excitonic absorption than the conventional velocity gauge. Our implementation significantly improves the accuracy of RT-TDDFT-RSH for modeling ultrafast excitonic dynamics in periodic systems.

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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