Faraday rotation in graphene

Regular Article

Abstract

We study magneto-optical properties of monolayer graphene by means of quantum field theory methods in the framework of the Dirac model. We reveal a good agreement between the Dirac model and a recent experiment on giant Faraday rotation in cyclotron resonance [23]. We also predict other regimes when the effects are well pronounced. The general dependence of the Faraday rotation and absorption on various parameters of samples is revealed both for suspended and epitaxial graphene.

Keywords

Solid State and Materials 

References

  1. 1.
    A.K. Geim, K.S. Novoselov, Nat. Mater. 6, 183 (2007)ADSCrossRefGoogle Scholar
  2. 2.
    M.I. Katsnelson, Mater. Today 10, 20 (2007)CrossRefGoogle Scholar
  3. 3.
    A.K. Geim, Science 324, 1530 (2009)ADSCrossRefGoogle Scholar
  4. 4.
    S. Das Sarma, S. Adam, E.H. Hwang, E. Rossi, Rev. Mod. Phys. 83, 407 (2011)ADSCrossRefGoogle Scholar
  5. 5.
    A.H. Castro Neto, F. Guinea, N.M.R. Peres, K.S. Novoselov, A.K. Geim, Rev. Mod. Phys. 81, 109 (2009)ADSCrossRefGoogle Scholar
  6. 6.
    M.A.H. Vozmediano, M.I. Katsnelson, F. Guinea, Phys. Rep. 496, 109 (2010)MathSciNetADSCrossRefGoogle Scholar
  7. 7.
    I.V. Fialkovsky, D.V. Vassilevich, Int. J. Mod. Phys. A 27, 1260007 (2012)MathSciNetADSCrossRefGoogle Scholar
  8. 8.
    R.R. Nair, P. Blake, A.N. Grigorenko, K.S. Novoselov, T.J. Booth, T. Stauber, N.M.R. Peres, A.K. Geim, Science 320, 1308 (2008)ADSCrossRefGoogle Scholar
  9. 9.
    A.B. Kuzmenko, E. van Heumen, F. Carbone, D. van der Marel, Phys. Rev. Lett. 100, 117401 (2008)ADSCrossRefGoogle Scholar
  10. 10.
    T. Ando, Y. Zheng, H. Suzuura, J. Phys. Soc. Jpn 71, 1318 (2002)ADSCrossRefGoogle Scholar
  11. 11.
    L.A. Falkovsky, S.S. Pershoguba, Phys. Rev. B 76, 153410 (2007)ADSCrossRefGoogle Scholar
  12. 12.
    T. Stauber, N.M.R. Peres, A.K. Geim, Phys. Rev. B 78, 085432 (2008)ADSCrossRefGoogle Scholar
  13. 13.
    V.A. Volkov, S.A. Mikhailov, JETP Lett. 41, 474 (1985)ADSGoogle Scholar
  14. 14.
    I.V. Fialkovsky, D.V. Vassilevich, J. Phys. A: Math. Theor. 42, 442001 (2009)ADSCrossRefGoogle Scholar
  15. 15.
    V.P. Gusynin, S.G. Sharapov, J.P. Carbotte, J. Phys.: Condens. Matter 19, 026222 (2007)ADSCrossRefGoogle Scholar
  16. 16.
    V.P. Gusynin, S.G. Sharapov, J.P. Carbotte, New J. Phys. 11, 095013 (2009)ADSCrossRefGoogle Scholar
  17. 17.
    T. Morimoto, Y. Hatsugai, H. Aoki, Phys. Rev. Lett. 103, 116803 (2009)ADSCrossRefGoogle Scholar
  18. 18.
    M.L. Sadowski, G. Martinez, M. Potemski, C. Berger, W.A. de Heer, Phys. Rev. Let. 97, 266405 (2006)ADSCrossRefGoogle Scholar
  19. 19.
    M.L. Sadowski, G. Martinez, M. Potemski, C. Berger, W.A. de Heer, Int. J.M. Phys. B 21, 1145 (2007)ADSCrossRefGoogle Scholar
  20. 20.
    A.M. Witowski et al., Phys. Rev. B 82, 165305 (2010)ADSCrossRefGoogle Scholar
  21. 21.
    M. Orlita et al., Solid State Commun. 149, 1128 (2009)ADSCrossRefGoogle Scholar
  22. 22.
    M. Orlita et al., Phys. Rev. Lett. 101, 267601 (2008)ADSCrossRefGoogle Scholar
  23. 23.
    I. Grassee, J. Levallois, A.L. Walter, M. Ostler, A. Bostwick, E. Rotenberg, T. Seyller, D. van der Marel, A.B. Kuzmenko, Nat. Phys. 7, 48 (2011)CrossRefGoogle Scholar
  24. 24.
    Wang-Kong Tse, A.H. MacDonald, Phys. Rev. B 82, 161104(R) (2010)ADSCrossRefGoogle Scholar
  25. 25.
    L.A. Falkovsky, Phys. Rev. B 83, 081107(R) (2011)ADSCrossRefGoogle Scholar
  26. 26.
    A. Ferreira, J. Viana-Gomes, Yu. V. Bludov, V. Pereira, N.M.R. Peres, A.H. Castro Neto, Phys. Rev. B 84, 235410 (2011)ADSCrossRefGoogle Scholar
  27. 27.
    Wang-Kong Tse, A.H. MacDonald, Phys. Rev. Lett. 105, 057401 (2010)ADSCrossRefGoogle Scholar
  28. 28.
    J. Maciejko, Xiao-Liang Qi, H. Dennis Drew, Shou-Cheng Zhang, Phys. Rev. Lett. 105, 166803 (2010)ADSCrossRefGoogle Scholar
  29. 29.
    V.P. Gusynin, S.G. Sharapov, J.P. Carbotte, Int. J. Mod. Phys. B 21, 4611 (2007)ADSCrossRefGoogle Scholar
  30. 30.
    T.G. Pedersen, Phys. Rev. B 68, 245104 (2003)ADSCrossRefGoogle Scholar
  31. 31.
    J.G. Pedersen, T.G. Pedersen, Phys. Rev. B 84, 115424 (2011)ADSCrossRefGoogle Scholar
  32. 32.
    T.W. Appelquist, M.J. Bowick, D. Karabali, L.C.R. Wijewardhana, Phys. Rev. D 33, 3704 (1986)ADSCrossRefGoogle Scholar
  33. 33.
    N. Dorey, N.E. Mavromatos, Nucl. Phys. B 386, 614 (1992)ADSCrossRefGoogle Scholar
  34. 34.
    Wei Li, Guo-Zhu Liu, Phys. Rev. D 81, 045006 (2010)ADSCrossRefGoogle Scholar
  35. 35.
    P.K. Pyatkovskiy, J. Phys.: Condens. Matter 21, 025506 (2009)ADSCrossRefGoogle Scholar
  36. 36.
    J. Gonzalez, F. Guinea, M.A.H. Vozmediano, Nucl. Phys. B 424, 595 (1994)ADSCrossRefGoogle Scholar
  37. 37.
    P.K. Pyatkovskiy, V.P. Gusynin, Phys. Rev. B 83, 075422 (2011)ADSCrossRefGoogle Scholar
  38. 38.
    E.V. Gorbar, V.P. Gusynin, V.A. Miransky, I.A. Shovkovy, Phys. Rev. B 66, 045108 (2002)ADSCrossRefGoogle Scholar
  39. 39.
    V.P. Gusynin, S.G. Sharapov, Phys. Rev. B 73, 245411 (2006)ADSCrossRefGoogle Scholar
  40. 40.
    A. Chodos, K. Everding, D.A. Owen, Phys. Rev. D 42, 2881 (1990)ADSCrossRefGoogle Scholar
  41. 41.
    R.E. Prange, The Quantum Hall Effect, edited by R.E. Prange, S.M. Girvin (Springer-Verlag, New York, 1987)Google Scholar
  42. 42.
    T. Champel, V.P. Mineev, Phys. Rev. B 66, 195111 (2002)ADSCrossRefGoogle Scholar
  43. 43.
    T. Champel, V.P. Mineev, Phys. Rev. B 67, 089901(E) (2003)ADSCrossRefGoogle Scholar
  44. 44.
    Yan-Yang Zhang, Jiangping Hu, B.A. Bernevig, X.R. Wang, X.C. Xie, W.M. Liu, Phys. Rev. Lett. 102, 106401 (2009)ADSCrossRefGoogle Scholar
  45. 45.
    V.P. Gusynin, S.G. Sharapov, Phys. Rev. Lett. 95, 146801 (2005)ADSCrossRefGoogle Scholar
  46. 46.
    N.M.R. Peres, F. Guinea, A.H. Castro Neto, Phys. Rev. B 73, 125411 (2006)ADSCrossRefGoogle Scholar
  47. 47.
    C.G. Beneventano, E.M. Santangelo, J. Phys. A 39, 7457 (2006)MathSciNetADSMATHCrossRefGoogle Scholar
  48. 48.
    C.G. Beneventano, P. Giacconi, E.M. Santangelo, R. Soldati, J. Phys. A 42, 275401 (2009)MathSciNetCrossRefGoogle Scholar
  49. 49.
    K.S. Novoselov, A.K. Geim, S.V. Morozov, D. Jiang, M.I. Katsnelson, I.V. Grigorieva, S.V. Dubonos, A.A. Firsov, Nature 438, 197 (2005)ADSCrossRefGoogle Scholar
  50. 50.
    Y. Zhang, Y.-W. Tan, H.L. Stormer, P. Kim, Nature 438, 201 (2005)ADSCrossRefGoogle Scholar
  51. 51.
    A.J. Niemi, G.W. Semenoff, Phys. Rev. Lett. 51, 2077 (1983)MathSciNetADSCrossRefGoogle Scholar
  52. 52.
    A.N. Redlich, Phys. Rev. D 29, 2366 (1984)MathSciNetADSCrossRefGoogle Scholar
  53. 53.
    A. Bostwick, T. Ohta, T. Seyller, K. Horn, E. Rotenberg, Nat. Phys. 3, 36 (2007)CrossRefGoogle Scholar
  54. 54.
    I. Crassee, M. Orlita, M. Potemski, A.L. Walter, M. Ostler, Th. Seyller, I. Gaponenko, J. Chen, A.B. Kuzmenko, Nano Lett. 12, 2470 (2012)ADSCrossRefGoogle Scholar
  55. 55.
    P. Neugebauer, M. Orlita, C. Faugeras, A.-L. Barra, M. Potemski, Phys. Rev. Lett. 103, 136403 (2009)ADSCrossRefGoogle Scholar

Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Instituto de Física, Universidade de São PauloSão PauloBrazil
  2. 2.CMCC, Universidade Federal do ABCCEPBrazil
  3. 3.Department of PhysicsSt. Petersburg State UniversitySt. PetersburgRussia

Personalised recommendations