Graphene zigzag ribbons, square lattice models and quantum spin chains

@inproceedings{Zarea2009GrapheneZR,
  title={Graphene zigzag ribbons, square lattice models and quantum spin chains},
  author={Mahdi Zarea and Nancy Sandler},
  year={2009}
}
We present an extended study of finite-width zigzag graphene ribbons (ZGRs) based on a tight-binding model with hard-wall boundary conditions. We provide an exact analytic solution that clarifies the origin of the predicted width dependence on the conductance through junctions of ribbons with different widths. An analysis of the obtained solutions suggests a new description of ZGRs in terms of coupled chains. We pursue these ideas further by introducing a mapping between the ZGR model and the… CONTINUE READING

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