A Transfer Matrix Approach to Electron Transport in Graphene through Arbitrary Electric and Magnetic Potential Barriers
arXiv:1204.4868 · doi:10.1088/0965-0393/20/4/045010
Abstract
A transfer matrix method is presented for solving the scattering problem for the quasi one-dimensional massless Dirac equation applied to graphene in the presence of an arbitrary inhomogeneous electric and perpendicular magnetic field. It is shown that parabolic cylindrical functions, which have previously been used in literature, become inaccurate at high incident energies and low magnetic fields. A series expansion technique is presented to circumvent this problem. An alternate method using asymptotic expressions is also discussed and the relative merits of the two methods are compared.
Accepted for Publication in Modelling and Simulation in Materials Science and Engineering
References in corpus (8)
- The electronic properties of graphene
- Chiral tunneling and the Klein paradox in graphene
- All-graphene integrated circuits via strain engineering
- Colloquium: The transport properties of graphene: An introduction
- Magnetic confinement of massless Dirac fermions in graphene
- Peculiar Nature of Snake States in Graphene
- Bilayer graphene with single and multiple electrostatic barriers: band structure and transmission
- Wavevector-dependent spin filtering and spin transport through magnetic barriers in graphene