Mathematica Eterna
Open Access

Abstract

Two-Dimensional Schr¨odinger Scattering and Electron Transport in Graphene

Jonathan Blackledge and Marek Rebow

Two-dimensional Born scattering for the non-relativistic case is considered, the purpose being to investigate electron transport properties in mono-layer Graphene subject to an applied parallel electric field. Solutions for the Probability Density Current (PDC) are obtained in the Fresnel zone which provides a model for simulating the PDC subject to membrane crumpling. In this context a Random Fractal Defect Model is considered which is used to assess the effect of (Fractal) crumpling on the PDC.