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Spin splitting at the Fermi level in carbon nanotubes in the absence of a magnetic field

  • Márcio M. CunhaEmail author
  • Júlio Brandão
  • Jonas R. F. Lima
  • Fernando Moraes
Regular Article

Abstract

In this paper, motivated by the possibility of experimental realization, we study the low-energy electronic states of a rotating carbon nanotube within a continuum model. An effective Dirac equation in the rotating reference frame is derived and exact analytical solutions for the eigenfunctions and energy spectrum are obtained. A Zeeman-like splitting results from the coupling of rotation to total angular momentum and the previously known static results are obtained in the no rotation limit.

Keywords

Solid State and Materials 

References

  1. 1.
    S. Iijima, Nature 354, 56 (1991)CrossRefADSGoogle Scholar
  2. 2.
    R. Saito et al., in Physical properties of carbon nanotubes (World Scientific, 1998), Vol. 4Google Scholar
  3. 3.
    P. Král, H.R. Sadeghpour, Phys. Rev. B 65, 161401 (2002)CrossRefADSGoogle Scholar
  4. 4.
    J. Servantie, P. Gaspard, Phys. Rev. Lett. 97, 186106 (2006)CrossRefADSGoogle Scholar
  5. 5.
    S. Zhang, W.K. Liu, R.S. Ruoff, Nano Lett. 4, 293 (2004)CrossRefADSGoogle Scholar
  6. 6.
    S. Narendar, S. Gopalakrishnan, Results in Physics 1, 17 (2011)CrossRefADSGoogle Scholar
  7. 7.
    Y. Aharonov, G. Carmi, Found. Phys. 3, 493 (1973)CrossRefADSGoogle Scholar
  8. 8.
    Y. Aharonov, G. Carmi, Found. Phys. 4, 75 (1974)CrossRefADSGoogle Scholar
  9. 9.
    J. Anandan, Phys. Rev. D 15, 1448 (1977)CrossRefADSGoogle Scholar
  10. 10.
    J. Brandao, F. Moraes, M.M. Cunha, J.R.F. Lima, C. Filgueiras, Results in Physics 5, 55 (2015)CrossRefADSGoogle Scholar
  11. 11.
    Y. Aharonov, D. Bohm, Phys. Rev. 115, 485 (1959)zbMATHMathSciNetCrossRefADSGoogle Scholar
  12. 12.
    J.Q. Shen, S. He, F. Zhuang, Eur. Phys. J. D 33, 35 (2005)CrossRefADSGoogle Scholar
  13. 13.
    J.R.F. Lima, J. Brandão, M.M. Cunha, F. Moraes, Eur. Phys. J. D 68, 94 (2014)CrossRefADSGoogle Scholar
  14. 14.
    J.R.F. Lima, F. Moraes, Eur. Phys. J. B 88, 63 (2015)MathSciNetCrossRefADSGoogle Scholar
  15. 15.
    B.L. Johnson, Am. J. Phys. 68, 649 (2000)CrossRefADSGoogle Scholar
  16. 16.
    Q. Liang, O.K.C. Tsui, Y. Xu, H. Li, X. Xiao, Phys. Rev. Lett. 90, 146102 (2003)CrossRefADSGoogle Scholar
  17. 17.
    C. Filgueiras, J. Brandao, F. Moraes, Europhys. Lett. 110, 27003 (2015)CrossRefADSGoogle Scholar
  18. 18.
    P.R. Wallace, Phys. Rev. 71, 622 (1947)zbMATHCrossRefADSGoogle Scholar
  19. 19.
    D.P. DiVincenzo, E.J. Mele, Phys. Rev. B 29, 1685 (1984)CrossRefADSGoogle Scholar
  20. 20.
    S. Reich, J. Maultzsch, C. Thomsen, P. Ordejón, Phys. Rev. B 66, 035412 (2002)CrossRefADSGoogle Scholar
  21. 21.
    A.H. Castro Neto, F. Guinea, N.M.R. Peres, K.S. Novoselov, A.K. Geim, Rev. Mod. Phys. 81, 109 (2009)CrossRefADSGoogle Scholar
  22. 22.
    J.-C. Charlier, X. Blase, S. Roche, Rev. Mod. Phys. 79, 677 (2007)CrossRefADSGoogle Scholar
  23. 23.
    L. Landau, E. Lifshitz, Course of Theoretical Physics (Butterworth-Heinemann, 1976)Google Scholar
  24. 24.
    M. Matsuo, J. Ieda, E. Saitoh, S. Maekawa, Phys. Rev. B 84, 104410 (2011)CrossRefADSGoogle Scholar
  25. 25.
    F.W. Hehl, W.-T. Ni, Phys. Rev. D 42, 2045 (1990)CrossRefADSGoogle Scholar
  26. 26.
    B. Mashhoon, Phys. Rev. Lett. 61, 2639 (1988)CrossRefADSGoogle Scholar
  27. 27.
    J. González, F. Guinea, J. Herrero, Phys. Rev. B 79, 165434 (2009)CrossRefADSGoogle Scholar
  28. 28.
    L. Chico, M.P. López-Sancho, M.C. Muñoz, Phys. Rev. Lett. 93, 176402 (2004)CrossRefADSGoogle Scholar

Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  • Márcio M. Cunha
    • 1
    Email author
  • Júlio Brandão
    • 2
  • Jonas R. F. Lima
    • 3
  • Fernando Moraes
    • 2
    • 4
  1. 1.Departamento de Física, CCENUniversidade Federal de PernambucoRecifeBrazil
  2. 2.Departamento de Física, CCENUniversidade Federal da ParaíbaJoão PessoaBrazil
  3. 3.Departamento de FísicaUniversidade Federal Rural de PernambucoRecifeBrazil
  4. 4.Departamento de Física and Departamento de MatemáticaUniversidade Federal de PernambucoRecifeBrazil

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