论文标题
双层石墨烯catenoid桥的电子特性
Electronic properties of bilayer graphene catenoid bridge
论文作者
论文摘要
我们研究电子在catenoid表面上的特性。连钉被理解为通过光滑的表面连接两个石墨烯层的桥梁的实现。曲率诱导桥周围的对称反射电势，并以$ M = 0 $的一个界限。对于$ m \ neq 0 $，出现一个离心电位屏障，可以控制两层之间的隧道。外部电场破坏了平等对称性，并提供了控制电导率从一层到另一层的屏障。通过施加恒定磁场，有效电位在桥附近表现出狭窄的双孔电势。我们获得相应的结合状态，并研究曲率对Landau水平的影响。
We study the properties of an electron on a catenoid surface. The catenoid is understood as a realization of a bridge connecting two graphene layer by a smooth surface. The curvature induces a symmetrical reflectionless potential well around the bridge with one bound-state for $m=0$. For $m\neq 0$, a centrifugal potential barrier arises controlling the tunnelling between the layers. An external electric field breaks the parity symmetry and provides a barrier that controls the conductance from one layer to another. By applying a constant magnetic field the effective potential exhibits a confining double-well potential nearby the bridge. We obtain the corresponding bound states and study the effects of the curvature on the Landau levels.
