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Rashba contribution of 2D Dirac–Weyl fermions: beyond ordinary quantum regime

  • Regular Article - Mesoscopic and Nanoscale Systems
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Abstract

We study the energy levels of Dirac–Weyl fermions in graphene subject to a magnetic field with Rashba contribution in the minimal length situation. The exact solution for the energy dispersion of Dirac-like charge carriers coupled to the magnetic moments in a (2+1)-dimension is obtained by the use of the momentum space representation. Moreover, as it comes to applications for 2D Dirac-like quasiparticles, we also extend our theory and results in some special cases, showing that the emerging energy spectrum at the high magnetic field limit becomes independent of the Rashba coupling, \(\lambda _{R}\), and the band index of Landau levels.

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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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Authors and Affiliations

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

    Ahmed Jellal

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

    Ahmed Jellal

  3. Department of Physics, Sharif University of Technology, PO Box 11155-9161, Tehran, Iran

    Dariush Jahani & Omid Akhavan

Authors
  1. Ahmed Jellal
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  2. Dariush Jahani
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  3. Omid Akhavan
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All authors have contributed equally to the paper.

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Correspondence to Ahmed Jellal.

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Jellal, A., Jahani, D. & Akhavan, O. Rashba contribution of 2D Dirac–Weyl fermions: beyond ordinary quantum regime. Eur. Phys. J. B 96, 18 (2023). https://doi.org/10.1140/epjb/s10051-023-00480-8

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  • DOI: https://doi.org/10.1140/epjb/s10051-023-00480-8

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