Two-dimensional Schrodinger scattering and electron transport in graphene.

Jonathan Blackledge, Marek Rebow

Research output: Contribution to journalArticlepeer-review

Abstract

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.
Original languageEnglish
Pages (from-to)913-926
JournalMathematic Aeterna
Volume4
Issue number8
DOIs
Publication statusPublished - 1 Jan 2014

Keywords

  • Two-dimensional Born scattering
  • non-relativistic case
  • transport properties
  • mono-layer Graphene
  • applied parallel electrical field
  • Probability Density Current
  • Fresnel zone
  • Random Fractal Defect Model
  • membrane crumpling

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