Low-energy model for doped graphene nanoribbons
J. Ferrer (Centro de Investigacion en Nanomaterials y Nanotechnologia, El Entrego, Universidad de Oviedo, Kavli institute of nanoscience Delft)
A. García-Fuente (Centro de Investigacion en Nanomaterials y Nanotechnologia, El Entrego, Universidad de Oviedo)
Y. Yang (TU Delft - Applied Sciences, Kavli institute of nanoscience Delft)
S. Volosheniuk (Kavli institute of nanoscience Delft, TU Delft - Applied Sciences)
H. S.J. van der Zant (Kavli institute of nanoscience Delft, TU Delft - Applied Sciences)
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Abstract
In this article we analyze the many-body behavior of freestanding doped graphene nanoribbons where the chemical potential lies inside the bulk single-particle bands. We perform an exact mapping from both an extended and an on-site Hubbard model of the ribbons to a Kanamori model, which includes ferromagnetic exchange and pair-hopping interactions. We determine the resulting Coulomb matrix elements analytically, and identify their scaling behavior as a function of ribbon width and length. We propose a low-energy version of the Kanamori Hamiltonian to address the response of the ribbons to external fields, with a view to their use as transport channels in nanoelectronics. We find that the model and the proposed ribbon parameters can produce open-shell, high-spin, many-body states that can lead to shell- and spin-blockade responses.
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