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arXiv 1104.1273cond-mat.mtrl-sci
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投影增强波法中的线性密度响应函数:对固体、表面和界面的应用

Linear density response function in the projector-augmented wave method: Applications to solids, surfaces, and interfaces

Jun Yan, Jens. J. Mortensen, Karsten W. Jacobsen, Kristian S. Thygesen

摘要:

我们提出了一个实施方案的线性密度响应函数内的投影增强波(PAW)方法与应用程序的线性光学和介电性质的固体,表面和接口。响应函数以平面波表示,而单粒子本征态可以在实空间网格或原子轨道基础上展开,以提高效率。在绝热局域密度近似(ALDA)的水平上处理交换相关核,并包括晶体局域场效应。计算的静态和动态的Si,C,SiC,AlP和GaAs的介电函数与以前的计算比较好。虽然半导体的光学性质,特别是激子效应,通常没有很好地描述ALDA,我们获得了良好的协议与实验的表面损失函数的Mg(0001)表面等离子体激元能量偏离小于0.2 eV。最后,我们应用该方法研究了衬底对石墨烯等离子体激元激发的影响。在SiC(0001)上,长波长的$π$等离子体激元被显著衰减,但其能量几乎保持不变。在Al(111)上,由于与金属表面等离子体激元的耦合,$π$等离子体激元被完全猝灭。

英文摘要:

We present an implementation of the linear density response function within the projector-augmented wave (PAW) method with applications to the linear optical and dielectric properties of both solids, surfaces, and interfaces. The response function is represented in plane waves while the single-particle eigenstates can be expanded on a real space grid or in atomic orbital basis for increased efficiency. The exchange-correlation kernel is treated at the level of the adiabatic local density approximation (ALDA) and crystal local field effects are included. The calculated static and dynamical dielectric functions of Si, C, SiC, AlP and GaAs compare well with previous calculations. While optical properties of semiconductors, in particular excitonic effects, are generally not well described by ALDA, we obtain excellent agreement with experiments for the surface loss function of the Mg(0001) surface with plasmon energies deviating by less than 0.2 eV. Finally, we apply the method to study the influence of substrates on the plasmon excitations in graphene. On SiC(0001), the long wavelength $π$ plasmons are significantly damped although their energies remain almost unaltered. On Al(111) the $π$ plasmon is completely quenched due to the coupling to the metal surface plasmon.

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