论文标题
用楔形披露的石墨烯量子环的电子特性
Electronic Properties of Graphene Quantum Ring with Wedge Disclination
论文作者
论文摘要
我们研究了限制在半径$ r $的石墨烯量子环几何形状和宽度$ w $中的电荷载体的持续电流。我们考虑通过用五角大楼，方形，七叶大或八角形代替六角形来局部修饰晶体对称性的情况。为了建模这种类型的缺陷，我们包括角坐标的适当边界条件。通过在条带边缘设置无限的质量边界条件，将电子局限于径向的有限宽条。溶液以汉克尔功能表示，其渐近行为允许在能量差距的存在下得出量化的能级。我们还研究了出现在量子环中的持续电流以及楔形披露如何影响不同的量子运输量。
We study the energy spectrum and persistent current of charge carriers confined in a graphene quantum ring geometry of radius $R$ and width $w$ subjected to a magnetic flux. We consider the case where the crystal symmetry is locally modified by replacing a hexagon by a pentagon, square, heptagon or octagon. To model this type of defect we include appropriate boundary conditions for the angular coordinate. The electrons are confined to a finite width strip in radial direction by setting infinite mass boundary conditions at the edges of the strip. The solutions are expressed in terms of Hankel functions and their asymptotic behavior allows to derive quantized energy levels in the presence of an energy gap. We also investigate the persistent currents that appear in the quantum ring and how wedge disclination influences different quantum transport quantities.
