Symmetries and the conductance of graphene nanoribbons with long-range disorder

  title={Symmetries and the conductance of graphene nanoribbons with long-range disorder},
  author={J. Wurm and Michael Wimmer and Klaus Richter},
  journal={Physical Review B},
We study the conductance of graphene nanoribbons with long-range disorder. Due to the absence of intervalley scattering from the disorder potential, time-reversal symmetry (TRS) can be effectively broken even without a magnetic field, depending on the type of ribbon edge. Even though armchair edges generally mix valleys, we show that metallic armchair nanoribbons possess a hidden pseudovalley structure and effectively broken TRS. In contrast, semiconducting armchair nanoribbons inevitably mix… 

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The most general form is in fact T0z(ϑ, φ) = (cos ϑ e iφ τ0 + sin ϑ e i(π/2+φ) τz)⊗σyC. The phase freedom φ does not play a role in our analysis and we set φ = 0 in the main text

    T0z(ϑ) and the pseudovalley structure ν · τ are not independent, as T0z(ϑ)Ty = ν · τ . Hence, Ty and T0z(ϑ) carry the same information