1] Technion-Israel Institute of Technology, Technion City 32000, Haifa, Israel [2].
1] The MOE Key Laboratory of Weak-Light Nonlinear Photonics, TEDA Applied Physical School and School of Physics, Nankai University, Tianjin 300457, China [2].
Nat Mater. 2014 Jan;13(1):57-62. doi: 10.1038/nmat3783. Epub 2013 Nov 10.
Graphene, a two-dimensional honeycomb lattice of carbon atoms, has been attracting much interest in recent years. Electrons therein behave as massless relativistic particles, giving rise to strikingly unconventional phenomena. Graphene edge states are essential for understanding the electronic properties of this material. However, the coarse or impure nature of the graphene edges hampers the ability to directly probe the edge states. Perhaps the best example is given by the edge states on the bearded edge that have never been observed-because such an edge is unstable in graphene. Here, we use the optical equivalent of graphene-a photonic honeycomb lattice-to study the edge states and their properties. We directly image the edge states on both the zigzag and bearded edges of this photonic graphene, measure their dispersion properties, and most importantly, find a new type of edge state: one residing on the bearded edge that has never been predicted or observed. This edge state lies near the Van Hove singularity in the edge band structure and can be classified as a Tamm-like state lacking any surface defect. The mechanism underlying its formation may counterintuitively appear in other crystalline systems.
石墨烯是一种由碳原子组成的二维蜂窝状晶格,近年来引起了广泛关注。其中的电子表现为无质量的相对论粒子,产生了非常非常规的现象。石墨烯边缘态对于理解这种材料的电子性质至关重要。然而,石墨烯边缘的粗糙或不纯性质阻碍了直接探测边缘态的能力。也许最好的例子是从未观察到的有胡子边缘的边缘态——因为这种边缘在石墨烯中是不稳定的。在这里,我们使用光的等效物——光子蜂窝晶格来研究边缘态及其性质。我们直接在这种光子石墨烯的锯齿形和有胡子的边缘上成像边缘态,测量它们的色散性质,最重要的是,发现了一种新的边缘态:一种位于有胡子的边缘上的边缘态,这种边缘态以前从未被预测或观察到。这种边缘态位于边缘能带结构中的范霍夫奇点附近,可以归类为缺乏任何表面缺陷的类 Tamm 态。其形成的机制可能会在其他晶体系统中出人意料地出现。