TDDFT与LDA +U的动态线性响应功能性：NiO中的强杂化Frenkel激子
Dynamical Linear Response of TDDFT with LDA+U Functional: strongly hybridized Frenkel excitons in NiO
摘要：
在含时密度泛函理论（TDDFT）的框架下，我们推导了LDA+U泛函的动力学线性响应，并以典型的莫特绝缘体NiO为基准.使用实空间Wannier函数制定，我们的计算成本低廉的框架提供了详细的见解形成紧密结合的Frenkel激子具有合理的精度。具体而言，发现多个激子的强杂化显著地修改激子性质。此外，我们的研究揭示了绝热近似在TDDFT与混合泛函和现有的Bethe-Salpeter方程方法中的一个显着的通用限制，提倡在未来的发展中强烈依赖能量的内核的必要性。
英文摘要：
Within the framework of time-dependent density-functional theory (TDDFT), we derive the dynamical linear response of LDA+U functional and benchmark it on NiO, a prototypical Mott insulator. Formulated using real-space Wannier functions, our computationally inexpensive framework gives detailed insights into the formation of tightly bound Frenkel excitons with reasonable accuracy. Specifically, a strong hybridization of multiple excitons is found to significantly modify the exciton properties. Furthermore, our study exposes a significant generic limitation of adiabatic approximation in TDDFT with hybrid functionals and in existing Bethe-Salpeter-equation approaches, advocating the necessity of strongly energy-dependent kernels in future development.
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