Two-dimensional Schrodinger Scattering and Electron Transport in Graphene
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2. ENGINEERING AND TECHNOLOGY, 2.2 ELECTRICAL, ELECTRONIC, INFORMATION ENGINEERING
Two-deimentional Born scatterin for the non-relativistic case is considered, the purpose being to investigate transport properties in mono-layer Graphene subject to an applied parallel electrical 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.
Blackledge, J. & Rebow, M. (2014). Two-dimensional Schrodinger scattering and electron transport in graphene. Mathematic Aeterna, vol.4 (8), pp. 913-926. doi:10.21427/D7FW4Q