Dirac point and edge states in a microwave realization of tight-binding graphene-like structures

Dirac point and edge states in a microwave realization of tight-binding graphene-like structures
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DOI:
10.1103/physrevb.82.094308
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发表时间:
2010-09-21
期刊:
影响因子:
3.7
通讯作者:
Mortessagne, F.
Mortessagne, F.
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Kuhl, U.;Barkhofen, S.;Mortessagne, F.

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我们提出了一种有限紧束缚类石墨烯结构的微波实现。这种结构是使用具有高折射率的圆盘实现的。盘被放置在金属表面上,而第二表面被调节在盘的顶部,使得在空气中耦合盘的波消失,从而导致紧束缚行为。在反射测量中,如果测量是在样品内部进行的,则可以观察到狄拉克点和接近狄拉克点的线性增加。如果测量是在锯齿形边缘进行的,或者在苯环破裂的情况下在拐角处进行测量,则在狄拉克点附近发现了由于边缘状态而产生的共振。
We present a microwave realization of finite tight-binding graphene-like structures. The structures are realized using disks with a high index of refraction. The disks are placed on a metallic surface while a second surface is adjusted atop the disks, such that the waves coupling the disks in the air are evanescent, leading to the tight-binding behavior. In reflection measurements the Dirac point and a linear increase close to the Dirac point is observed, if the measurement is performed inside the sample. Resonances due to edge states are found close to the Dirac point if the measurements are performed at the zigzag edge or at the corner in case of a broken benzene ring.