Transmission coefficient through a saddle-point electrostatic potential for graphene in the quantum Hall regime

  title={Transmission coefficient through a saddle-point electrostatic potential for graphene in the quantum Hall regime},
  author={Martina Floser and Thierry Champel and Serge Florens},
  journal={Physical Review B},
From the scattering of semicoherent-state wavepackets at high magnetic field, we derive analytically the transmission coefficient of electrons in graphene in the quantum Hall regime through a smooth constriction described by a quadratic saddle-point electrostatic potential. We find anomalous half-quantized conductance steps that are rounded by a backscattering amplitude related to the curvature of the potential. Furthermore, the conductance in graphene breaks particle-hole symmetry in cases… 

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2)-(1.6) of Ref. 2 in the limit ωc → ∞ by neglecting the Landau-level mixing correction to the curvature energy E1