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Quantum walk transport properties on graphene structures.

Bougroura, Hamza and Aissaoui, Habib and Chancellor, Nicholas and Kendon, Viv (2016) 'Quantum walk transport properties on graphene structures.', Physical review A., 94 (6). 062331.


We present numerical studies of quantum walks on C 60 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.

Item Type:Article
Full text:(AM) Accepted Manuscript
First Live Deposit - 10 February 2017
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Publisher statement:Reprinted with permission from the American Physical Society: Physical Review A 94, 062331 © (2016) by the American Physical Society. Readers may view, browse, and/or download material for temporary copying purposes only, provided these uses are for noncommercial personal purposes. Except as provided by law, this material may not be further reproduced, distributed, transmitted, modified, adapted, performed, displayed, published, or sold in whole or part, without prior written permission from the American Physical Society.
Record Created:10 Feb 2017 13:30
Last Modified:10 Feb 2017 13:57

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