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Updated: Apr 4, 2026

Fabrication of Gate-tunable Graphene Devices for Scanning Tunneling Microscopy Studies with Coulomb Impurities
Published on: July 24, 2015
Current resonances in graphene with time-dependent potential barriers
Sergey E Savel'ev1, Wolfgang Häusler, Peter Hänggi
1Department of Physics, Loughborough University, Loughborough LE11 3TU, United Kingdom.
Abstract:
A method is derived to solve the massless Dirac-Weyl equation describing electron transport in a monolayer of graphene with a scalar potential barrier U(x,t), homogeneous in the y direction, of arbitrary space and time dependence. Resonant enhancement of both electron backscattering and currents, across and along the barrier, is predicted when the modulation frequencies satisfy certain resonance conditions. These conditions resemble those for Shapiro steps of driven Josephson junctions. Surprisingly, we find a nonzero y component of the current for carriers of zero momentum along the y-axis.
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