, Volume 52, Issue 14, pp 1879–1881 | Cite as

Increasing Spin-Orbital Coupling at Relativistic Exchange Interaction of Electron-Hole Pairs in Graphene

  • H. V. Grushevskaya
  • G. G. KrylovEmail author


Graphene model with a high-energy k · p-Hamiltonian has been proposed. A feature of the model is the increasing spin-orbital coupling at relativistic exchange interactions of electron-hole pairs. Topological nontriviality of the model has been established by non-abelian Zak phase calculations. It has been shown that the homotopy group of the model is Z2 × Z4.


  1. 1.
    A. A. Zibrov, C. Kometter, H. Zhou, E. M. Spanton, T. Taniguchi, K. Watanabe, M. P. Zaletel, and A. F. Young, Nature (London, U.K.) 549, 360 (2017).ADSCrossRefGoogle Scholar
  2. 2.
    G. E. Volovik and M. A. Zubkov, New J. Phys. 19, 015009 (2017).ADSCrossRefGoogle Scholar
  3. 3.
    V. A. Fock, Foundations of Quantum Mechanics (Nauka, Moscow, 1976) [in Russian].Google Scholar
  4. 4.
    G. W. Semenoff, Phys. Rev. Lett. 53, 2449 (1984).ADSCrossRefGoogle Scholar
  5. 5.
    P. R. Wallace, Phys. Rev. 71, 622 (1947).ADSCrossRefGoogle Scholar
  6. 6.
    H. V. Grushevskaya and G. G. Krylov, Int. J. Nonlin. Phenom. Complex Syst. 16, 189 (2013).Google Scholar
  7. 7.
    H. V. Grushevskaya and G. Krylov, Int. J. Nonlin. Phenom. Complex Syst. 18, 266 (2015).Google Scholar
  8. 8.
    J. Zak, Phys. Rev. Lett. 62, 2747 (1989).ADSCrossRefGoogle Scholar
  9. 9.
    G. van Miert, C. Ortix, and C. M. Smith, 2D Mater. 4, 015023 (2017).Google Scholar
  10. 10.
    A. Soluyanov and D. Vanderbilt, Phys. Rev. B 83, 235401 (2011).ADSCrossRefGoogle Scholar
  11. 11.
    M. S. Sarandy and D. A. Lidar, Phys. Rev. A 73, 062101 (2006).ADSCrossRefGoogle Scholar

Copyright information

© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  1. 1.Belarusian State UniversityMinskBelarus

Personalised recommendations