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Oscillations in a Two-Dimensional Gas of Massless Dirac Fermions

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Abstract

We discuss non-minimal couplings that generate the spin-orbit interaction in a two-dimensional gas of massless Dirac fermions interacting with an external (electric or magnetic) field. The corresponding Hamiltonian leads to a two-dimensional Dirac oscillator with an energy spectrum that includes the field-induced spin-orbit interaction, resembling a Rashba-type interaction. As an example of application, we discuss the results in connection with the quasiparticles in graphene.

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Acknowledgments

We acknowledge Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) and Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES), the Brazilian research funding agencies. We thank the referee for useful comments.

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Authors and Affiliations

  1. Instituto de Física, Universidade Federal da Bahia, 40210-340, Salvador, Bahia, Brazil

    R. Rivelino & E. S. Santos

  2. Faculté Saint-Jean, University of Alberta, Edmonton, Alberta, T6C 4G9, Canada

    M. de Montigny

  3. Theoretical Physics Institute, University of Alberta, Edmonton, Alberta, T6G 2J1, Canada

    M. de Montigny

Authors
  1. R. Rivelino
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  2. E. S. Santos
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  3. M. de Montigny
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Correspondence to M. de Montigny.

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Rivelino, R., Santos, E.S. & de Montigny, M. Oscillations in a Two-Dimensional Gas of Massless Dirac Fermions. Int J Theor Phys 54, 85–91 (2015). https://doi.org/10.1007/s10773-014-2202-x

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  • DOI: https://doi.org/10.1007/s10773-014-2202-x

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