The growth of the $\sqrt{3} \times \sqrt{3}$ reconstructed silicene on Ag substrate has been frequently observed in experiments while its atomic structure and formation mechanism is poorly understood. Here by first-principles calculations we show that $\sqrt{3} \times \sqrt{3}$ reconstructed silicene is constituted by dumbbell units of Si atoms arranged in a honeycomb pattern. Our model shows excellent agreement with the experimentally reported lattice constant and STM image. We propose a new mechanism for explaining the spontaneous and consequential formation of $\sqrt{3} \times \sqrt{3}$ structures from $3 \times 3$ structures on Ag substrate. We show that the $\sqrt{3} \times \sqrt{3}$ reconstruction is mainly determined by the interaction between Si atoms and have weak influence from Ag substrate. The proposed mechanism opens the path to understanding of multilayer silicon.
Elastic and plastic deformation of graphene, silicene, and boron nitride honeycomb nanoribbons under uniaxial tension: A first-principles density-functional theory study
本研究的弹性和塑性形变的石墨烯，硅烯，氮化硼（BN）蜂窝纳米带在单轴拉伸下确定其弹性常数，并揭示有趣的功能。在弹性范围内的拉伸过程中，电子和磁性可以强烈地改变。特别是，它示出的带隙的一个特定的扶手椅nanoriginates在应变和最高价和最低的导带被线性化下被关闭。这样，即使在半导体纳米晶体中也可以获得无质量的狄拉克费米子行为。在塑性形变下，蜂窝结构不可逆地改变，并提供许多新的结构和功能。笼状结构，甚至悬浮的原子链可以在两个蜂窝状薄片之间衍生。本工作阐述了最近的实验[C. Jin，H.兰湖，澳-地彭，K. Suenaga和S. Iijima，Phys. Rev. Lett. 102，205501（2009）]，从石墨烯衍生碳链。此外，从BN和Si纳米带的原子链的类似的形成进行了预测。
Band structure and optical response of Kekulé-modulated $α-\mathcal{T}_3$ model
Facultad de Ciencias, Universidad Autónoma de Baja California（下加利福尼亚自治大学理学院）；Department of Physics and Astronomy and Nanoscale and Quantum Phenomena Institute, Ohio University（俄亥俄大学物理与天文学系及纳米量子现象研究所）；Centro de Nanociencias y Nanotecnología, Universidad Nacional Autónoma de México（墨西哥国立自治大学纳米科学与纳米技术中心）
