双层石墨烯悬链桥的电子性质
Electronic properties of bilayer graphene catenoid bridge
摘要：
我们研究了悬链面上电子的性质。悬链被理解为通过光滑表面连接两个石墨烯层的桥的实现。曲率诱导桥周围的一个对称的无反射势阱与一个束缚态的$m=0$。对于$m\neq 0$，产生控制层之间隧穿的离心势垒。外部电场打破了宇称对称性，并提供了一个控制从一层到另一层的电导的势垒。通过施加恒定的磁场，有效势在桥附近呈现出限制性的双阱势。我们得到了相应的束缚态，并研究了曲率对朗道能级的影响。
英文摘要：
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.
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