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Quantum walk transport on carbon nanotube structures

We study source-to-sink excitation transport on carbon nanotubes using the concept of quantum walks. In particular, we focus on transport properties of Grover coined quantum walks on ideal and percolation perturbed nanotubes with zig-zag and armchair chiralities. Using analytic and numerical methods...

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Bibliographic Details
Published in:Physics letters. A 2020-05, Vol.384 (15), p.126302, Article 126302
Main Authors: Mareš, J., Novotný, J., Jex, I.
Format: Article
Language:English
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Summary:We study source-to-sink excitation transport on carbon nanotubes using the concept of quantum walks. In particular, we focus on transport properties of Grover coined quantum walks on ideal and percolation perturbed nanotubes with zig-zag and armchair chiralities. Using analytic and numerical methods we identify how geometric properties of nanotubes and different types of a sink altogether control the structure of trapped states and, as a result, the overall source-to-sink transport efficiency. It is shown that chirality of nanotubes splits behavior of the transport efficiency into a few typically well separated quantitative branches. Based on that we uncover interesting quantum transport phenomena, e.g. increasing the length of the tube can enhance the transport and the highest transport efficiency is achieved for the thinnest tube. We also demonstrate, that the transport efficiency of the quantum walk on ideal nanotubes may exhibit even oscillatory behavior dependent on length and chirality. •We study quantum walks on carbon nanotube structures with and without percolation.•We derive explicit forms of trapped states controlling transport efficiency.•We identify how the tube chirality, length and sink affects the set of trapped states.•We calculate transport efficiency for percolated and non-percolated walks.•Counterintuitive quantum transport phenomena are uncovered.
ISSN:0375-9601
1873-2429
DOI:10.1016/j.physleta.2020.126302