A transfer matrix approach to electron transport in graphene through arbitrary electric and magnetic potential barriers

作者：Grover Sameer^*; Ghosh Sankalpa; Sharma Manish

来源：Modelling and Simulation in Materials Science and Engineering, 2012, 20(4): 045010.

DOI：10.1088/0965-0393/20/4/045010

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 the 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.

• 出版日期2012-6