Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2009-06-26
Phys. Rev. B 81, 195426 (2010)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
19 pages, 6 figures. Revised version
Scientific paper
10.1103/PhysRevB.81.195426
We show that the low-energy electronic structure of graphene under a one-dimensional inhomogeneous magnetic field can be mapped into that of graphene under an electric field or vice versa. As a direct application of this transformation, we find that the carrier velocity in graphene is isotropically reduced under magnetic fields periodic along one direction with zero average flux. This counterintuitive renormalization has its origin in the pseudospin nature of graphene electronic states and is robust against disorder. In magnetic graphene superlattices with a finite average flux, the Landau level bandwidth at high fields exhibits an unconventional behavior of decreasing with increasing strength of the average magnetic field due to the linear energy dispersion of graphene. As another application of our transformation relation, we show that the transmission probabilities of an electron through a magnetic barrier in graphene can directly be obtained from those through an electrostatic barrier or vice versa.
Louie Steven G.
Park Cheol-Hwan
Tan Liang Zheng
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