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Electronic properties of graphene quantum ring with wedge disclination

  • Regular Article - Mesoscopic and Nanoscale Systems
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Abstract

We study the energy spectrum and persistent current of charge carriers confined in a graphene quantum ring geometry of radius R and width w subject to a magnetic flux. We consider the case where the crystal symmetry is locally modified through dislocations created by replacing the original carbon hexagon by a pentagon, square, heptagon or octagon. To model this type of defect, we include appropriate boundary conditions for the angular coordinate. The electrons are then confined to a finite width strip in the radial direction by setting an infinite mass boundary conditions at the edges of the strip. The solutions are expressed in terms of Hankel functions and their asymptotic behavior allows to derive quantized energy levels in the presence of an energy gap. We also investigate the persistent currents that appear in the quantum ring in the presence of a quantum flux at the center of the ring and how wedge disclination influences different quantum transport quantities.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: The data that support the findings of this study are available on request from the corresponding author].

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Acknowledgements

The generous support provided by the Saudi Center for Theoretical Physics (SCTP) is highly appreciated by AJ. AJ and HB acknowledge the support of KFUPM under research group project RG181001. HB also acknowledges discussions with Michael Vogl.

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Authors and Affiliations

  1. Laboratory of Theoretical Physics, Faculty of Sciences, Chouaïb Doukkali University, PO Box 20, 24000, El Jadida, Morocco

    Abdelhadi Belouad & Ahmed Jellal

  2. Canadian Quantum Research Center, 204-3002 32 Ave, Vernon, BC, V1T 2L7, Canada

    Ahmed Jellal

  3. Physics Department, King Fahd University of Petroleum and Minerals, Dhahran, 31261, Saudi Arabia

    Hocine Bahlouli

Authors
  1. Abdelhadi Belouad
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  2. Ahmed Jellal
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Correspondence to Ahmed Jellal.

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Belouad, A., Jellal, A. & Bahlouli, H. Electronic properties of graphene quantum ring with wedge disclination. Eur. Phys. J. B 94, 75 (2021). https://doi.org/10.1140/epjb/s10051-021-00072-4

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  • DOI: https://doi.org/10.1140/epjb/s10051-021-00072-4

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