Generalized uncertainty principle in graphene

  title={Generalized uncertainty principle in graphene},
  author={Alfredo Iorio and Pablo Pais},
  journal={Journal of Physics: Conference Series},
  • A. IorioP. Pais
  • Published 31 January 2019
  • Physics
  • Journal of Physics: Conference Series
We show that, by going beyond the low-energy approximation for which the dispersion relations of graphene are linear, the corresponding emergent field theory is a specific generalization a Dirac field theory. The generalized Dirac Hamiltonians one obtains are those compatible with specific generalizations of the uncertainty principle. We also briefly comment on the compatibility of the latter with noncommuting positions, [xi,xj] ≠ 0, and on their possible physical realization. 

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