Dirac spectrum in piecewise constant one-dimensional (1D) potentials
Dirac spectrum in piecewise constant one-dimensional (1D) potentials
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DOI：
10.1088/1367-2630/12/12/123020
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发表时间：
2010-02
影响因子：
3.3
通讯作者：
D. Arovas;L. Brey;H. Fertig;Eun-Ah Kim;K. Ziegler
中科院分区：
文献类型：
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作者：
D. Arovas;L. Brey;H. Fertig;Eun-Ah Kim;K. Ziegler
我们使用适合于低能的连续Dirac方程和转移矩阵方法研究了石墨烯在分段恒定势场中的电子态。对于超晶格的潜力，我们确定的诱导狄拉克点，是目前在整个能带结构的图案和验证的特殊情况下的粒子-空穴对称的潜在的存在，在零能量。我们还考虑了一个单一的沟槽和一个p-n结嵌入中性石墨烯，这是支持受限状态的情况下。对这些结构的电导分析表明，这些受限态产生了量子干涉效应，这证明了它们的存在。
We study the electronic states of graphene in piecewise constant potentials using the continuum Dirac equation appropriate at low energies and a transfer matrix method. For superlattice potentials, we identify patterns of induced Dirac points that are present throughout the band structure and verify for the special case of a particle–hole symmetric potential their presence at zero energy. We also consider the cases of a single trench and a p–n junction embedded in neutral graphene, which are shown to support confined states. An analysis of conductance across these structures demonstrates that these confined states create quantum interference effects, which evidence their presence.