Quantum-walk transport properties on graphene structures

Hamza Bougroura, Habib Aissaoui, Nicholas Chancellor, Viv Kendon

Research output: Contribution to journalArticlepeer-review


We present numerical studies of quantum walks on C60 and related graphene structures to investigate their transport properties. Also known as a honeycomb lattice, the lattice formed by carbon atoms in the graphene phase can be rolled up to form nanotubes of various dimensions. Graphene nanotubes have many important applications, some of which rely on their unusual electrical conductivity and related properties. Quantum walks on graphs provide an abstract setting in which to study such transport properties independent of the other chemical and physical properties of a physical substance. They can thus be used to further the understanding of mechanisms behind such properties. We find that nanotube structures are significantly more efficient in transporting a quantum walk than cycles of equivalent size, provided the symmetry of the structure is respected in how they are used. We find faster transport on zigzag nanotubes compared to armchair nanotubes, which is unexpected given that for the actual materials the armchair nanotube is metallic, while the zigzag is semiconducting.
Original languageEnglish
Article number062331
Number of pages11
JournalPhysical Review A
Issue number6
Publication statusPublished - 23 Dec 2016


  • carbon
  • graphene
  • honeycomb structures
  • nanotubes
  • quantum chemistry
  • transport properties
  • yarn
  • arm-chair nanotubes
  • carbon atoms
  • chemical and physical properties
  • electrical conductivity
  • equivalent size
  • honeycomb lattices
  • nanotube structure
  • zig-zag nanotubes
  • structural properties


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