采用密度泛函理论和无规相近似方法，研究了石墨烯、MoS $_2$和磷烯等掺杂二维晶体材料的单层和双层结构的集体模.使用基于{ \it ab initio}的模型计算材料的多体介电函数，该模型涉及材料真实的物理性质。在计算了电子能量损失后，我们考虑双层结构的同相和异相模式，计算了每种材料的集体模式。此外，由于体系中存在大量的能带结构和带间跃迁，我们还发现了高能激发态。我们解释说，材料特定的介电函数考虑的结晶材料，如MoS $_2$的极化率需要获得现实的等离子体激元色散。对于这里研究的每种材料，我们发现了不同的集体模式，并描述了它们的物理起源。
英文摘要：
Collective modes of doped two-dimensional crystalline materials, namely graphene, MoS$_2$ and phosphorene, both monolayer and bilayer structures, are explored using the density functional theory simulations together with the random phase approximation. The many-body dielectric functions of the materials are calculated using an {\it ab initio} based model involving material-realistic physical properties. Having calculated the electron energy-loss, we calculate the collective modes of each material considering the in-phase and out-of-phase modes for bilayer structures. Furthermore, owing to many band structures and intreband transitions, we also find high-energy excitations in the systems. We explain that the material-specific dielectric function considering the polarizability of the crystalline material such as MoS$_2$ are needed to obtain realistic plasmon dispersions. For each material studied here, we find different collective modes and describe their physical origins.
Crystalline metal flakes: Platforms for advanced plasmonics and hybrid 2D material architectures
Swiss Federal Institute of Technology Lausanne (EPFL)（洛桑联邦理工学院）；Universität Würzburg（维尔茨堡大学）；Leibniz Institute of Photonic Technology（莱布尼茨光子技术研究所）；University of Southern Denmark（南丹麦大学）
Plasmon-Enhanced Second-Harmonic Generation in Atomically Thin Crystalline Silver Nanostructures
ICFO–Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology（ICFO-光子科学研究所，巴塞罗那科学技术研究院）；University of Vienna, Faculty of Physics, Vienna Center for Quantum Science and Technology (VCQ)（维也纳大学物理学院，维也纳量子科学与技术中心）；Center for Nanophotonics, NWO Institute AMOLF（纳米光子学中心，NWO AMOLF研究所）；Department of Physics, Dokuz Eylül University（德古兹埃勒大学物理系）；Centro de Física de Materiales CSIC-UPV/EHU and Materials Physics Center（CSIC-巴斯克国立大学物质物理学中心和材料物理中心）
Reply to "Comment on "Normalization of quasinormal modes in leaky optical cavities and plasmonic resonators" " by E. A. Muljarov and W. Langbein
本文反驳了E. A. Muljarov和W. Langbein（arXiv：1602.07278v1）.完全基于我们原始文章中已经包含的信息（P. T。克里斯滕森，R. C. Ge和S. Hughes，Physical Review A 92，053810（2015）），我们认为批评的每一点都是完全不合理的，并指出评论作者似乎忽视了我们论证的重要部分。此外，我们还提供了额外的计算，直接显示了Sauvan等人和Muljarov等人的归一化之间的联系，这是我们最初的文章中没有提到的。
