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Electronic transport in two-dimensional strained Dirac materials under multi-step Fermi velocity barrier: transfer matrix method for supersymmetric systems

Author

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  • Anh-Luan Phan

    (Duy Tan University
    Duy Tan University)

  • Dai-Nam Le

    (Ton Duc Thang University
    Ton Duc Thang University)

Abstract

In recent years, graphene and other two-dimensional Dirac materials like silicene, germanene, etc. have been studied from different points of view: from mathematical physics, condensed matter physics to high energy physics. In this study, we utilize both supersymmetric quantum mechanics (SUSY-QM) and transfer matrix method (TTM) to examine electronic transport in two-dimensional Dirac materials under the influences of multi-step deformation as well as multi-step Fermi velocity barrier. The effects of multi-step effective mass and multi-step applied fields are also taken into account in our investigation. Results show the possibility of modulating the Klein tunneling of Dirac electron using strain or electric field. Graphic abstract

Suggested Citation

  • Anh-Luan Phan & Dai-Nam Le, 2021. "Electronic transport in two-dimensional strained Dirac materials under multi-step Fermi velocity barrier: transfer matrix method for supersymmetric systems," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 94(8), pages 1-16, August.
    • Handle: RePEc:spr:eurphb:v:94:y:2021:i:8:d:10.1140_epjb_s10051-021-00176-x
    DOI: 10.1140/epjb/s10051-021-00176-x
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    References listed on IDEAS

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    1. Dai-Nam Le & Van-Hoang Le & Pinaki Roy, 2020. "Graphene under uniaxial inhomogeneous strain and an external electric field: Landau levels, electronic, magnetic and optical properties," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 93(8), pages 1-12, August.
    2. K. S. Novoselov & A. K. Geim & S. V. Morozov & D. Jiang & M. I. Katsnelson & I. V. Grigorieva & S. V. Dubonos & A. A. Firsov, 2005. "Two-dimensional gas of massless Dirac fermions in graphene," Nature, Nature, vol. 438(7065), pages 197-200, November.
    3. Yuanbo Zhang & Yan-Wen Tan & Horst L. Stormer & Philip Kim, 2005. "Experimental observation of the quantum Hall effect and Berry's phase in graphene," Nature, Nature, vol. 438(7065), pages 201-204, November.
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