Departamento de Física, Universidade Federal do Ceará, Fortaleza, CE, Brazil.
J Phys Condens Matter. 2010 Nov 24;22(46):465305. doi: 10.1088/0953-8984/22/46/465305. Epub 2010 Nov 5.
In this work we investigate the interaction of charge carriers in graphene with a series of p-n-p junctions arranged according to a deterministic quasiperiodic substitutional Fibonacci sequence. The junctions create a potential landscape with quantum wells and barriers of different widths, allowing the existence of quasi-confined states. Spectra of quasi-confined states are calculated for several generations of the Fibonacci sequence as a function of the wavevector component parallel to the barrier interfaces. The results show that, as the Fibonacci generation is increased, the dispersion branches form energy bands distributed as a Cantor-like set. Besides, for a quasiperiodic set of potential barriers, we obtain the electronic tunneling probability as a function of energy, which shows a striking self-similar behavior for different generation numbers.
在这项工作中，我们研究了在根据确定的拟周期替代 Fibonacci 序列排列的一系列 p-n-p 结中，载流子在石墨烯中的相互作用。这些结创建了具有不同宽度的量子阱和势垒的势景观，允许存在准受限态。准受限态的谱作为与势垒界面平行的波矢分量的函数，针对 Fibonacci 序列的几个世代进行了计算。结果表明，随着 Fibonacci 代的增加，色散分支形成了作为 Cantor 集分布的能带。此外，对于势垒的拟周期集，我们获得了作为能量函数的电子隧穿概率，对于不同的代数量，它表现出惊人的自相似行为。
