Conformal mapping and shot noise in graphene

@article{Rycerz2009ConformalMA,
  title={Conformal mapping and shot noise in graphene},
  author={Adam Rycerz and Patrik Recher and Michael Wimmer},
  journal={Physical Review B},
  year={2009},
  volume={80},
  pages={125417}
}
Ballistic transport through a collection of quantum billiards in undoped graphene is studied analytically within the conformal mapping technique. The billiards show pseudodiffusive behavior, with the conductance equal to that of a classical conductor characterized by the conductivity ${\ensuremath{\sigma}}_{0}=4{e}^{2}/\ensuremath{\pi}h$ and the Fano factor $F=1/3$. By shrinking at least one of the billiard openings, we observe a tunneling behavior, where the conductance shows a power-law decay… 
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