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arXiv 1102.3488cond-mat.mes-hall
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静电势中Dirac能隙诱导的石墨烯量子点

Dirac gap-induced graphene quantum dot in an electrostatic potential

G. Giavaras, Franco Nori

摘要:

石墨烯片中的空间调制的狄拉克间隙导致电荷限制,从而使得能够在不施加外部电场和磁场的情况下形成石墨烯量子点[Appl.Phys.Lett. \textbf{97},243106(2010)]。这可以实现提供狄拉克间隙有一个局部最小值,其中的国家成为本地化。在这项工作中,这样的间隙诱导点的物理研究在连续极限通过求解狄拉克方程。结果表明,间隙诱导的受限态耦合到静电量子阱势引入的状态。因此,由此产生的杂化状态的区域可以调整与潜在的强度,一种影响,其中涉及克莱因隧道。所提出的量子点可用于探测石墨烯中的准相对论效应,而诱导的受限态可用于石墨烯基纳米结构。

英文摘要:

A spatially modulated Dirac gap in a graphene sheet leads to charge confinement, thus enabling a graphene quantum dot to be formed without the application of external electric and magnetic fields [Appl. Phys. Lett. \textbf{97}, 243106 (2010)]. This can be achieved provided the Dirac gap has a local minimum in which the states become localised. In this work, the physics of such a gap-induced dot is investigated in the continuum limit by solving the Dirac equation. It is shown that gap-induced confined states couple to the states introduced by an electrostatic quantum well potential. Hence the region in which the resulting hybridized states are localised can be tuned with the potential strength, an effect which involves Klein tunneling. The proposed quantum dot may be used to probe quasi-relativistic effects in graphene, while the induced confined states may be useful for graphene-based nanostructures.

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