Edge states and distributions of edge currents in semi-infinite graphene |
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Authors: | W Wang Z S Ma |
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Institution: | 1.School of Physics,Peking University,Beijing,P.R. China |
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Abstract: | The distributions of edge currents in semi-infinite graphene under a uniform
perpendicular magnetic field are investigated. We show unambiguously that
the edge current is finite at the armchair edge but vanishes at the zigzag
edge. It is shown that the current density oscillates with the distance away
from the boundary and tends to zero deep inside the graphene. The study
shows that the total current is independent of edge configurations. The
interplay of the bulk and edge contributions to the total current is
presented. The quantized plateaus of Hall conductivity at (4e
2/h)(n+1/2) provide a direct evidence of the connection between the edge states and
topological properties of relativistic fermions in a magnetic field. |
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Keywords: | |
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