论文标题
石墨烯，狄拉克方程和模拟重力
Graphene, Dirac equation and analogue gravity
论文作者
论文摘要
我们提供了对石墨烯纳米滚动的某些电子特性的更新研究，从而利用了电荷载体相关的弯曲空间零方程。为此，我们考虑了圆柱坐标中的明确参数化，以及用于二维背景上的假颗粒模式的分析溶液。然后将这些结果用于获得样品光学电导率的紧凑表达，该表达式来自适合1+2维弯曲空间的库邦公式。然后采用后一种配方来执行一些模拟圆柱纳米滚子几何形状。
We provide an updated study of some electronic properties of graphene nanoscrolls, exploiting a related curved space Dirac equation for the charge carriers. To this end, we consider an explicit parametrization in cylindrical coordinates, together with analytical solutions for the pseudoparticle modes living on the two--dimensional background. These results are then used to obtain a compact expression for the sample optical conductivity, deriving from a Kubo formula adapted to the 1+2 dimensional curved space. The latter formulation is then adopted to perform some simulations for a cylindrical nanoscroll geometry.
