Advertisement

Magnetic Properties of Gated Graphene Nanostructures

  • Alev Devrim GüçlüEmail author
  • Pawel Potasz
  • Marek Korkusinski
  • Pawel Hawrylak
Chapter
Part of the NanoScience and Technology book series (NANO)

Abstract

In this chapter we describe magnetic properties of graphene quantum dots and rings with broken sublattice symmetry using the TB+HF+CI methodology. The broken sublattice symmetry leads to the existence of a shell of degenerate levels at the Fermi level. We discuss how the electronic and magnetic properties of GQDs depend on the filling of the shell in triangular graphene quantum dots (TGQD), how they can be controlled by electric field in bi-layer TGQDs and how they can be detected in Coulomb and Spin Blockade transport experiments.

Keywords

Hubbard Model Total Spin Edge State Zigzag Edge Spin Blockade 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 1.
    E.H. Lieb, Phys. Rev. Lett. 62, 1201 (1989)MathSciNetCrossRefADSGoogle Scholar
  2. 2.
    A.D. Güçlü, P. Potasz, O. Voznyy, M. Korkusinski, P. Hawrylak, Phys. Rev. Lett. 103, 246805 (2009)CrossRefADSGoogle Scholar
  3. 3.
    P. Potasz, A.D. Güçlü, A. Wójs, P. Hawrylak, Phys. Rev. B 85, 075431 (2012)CrossRefADSGoogle Scholar
  4. 4.
    B. Wunsch, T. Stauber, F. Guinea, Phys. Rev. B 77, 035316 (2008)CrossRefADSGoogle Scholar
  5. 5.
    I. Romanovsky, Y. Yannouleas, U. Landman, Phys. Rev. B 79, 075311 (2009)CrossRefADSGoogle Scholar
  6. 6.
    P. Hawrylak, A. Wójs, J.A. Brum, Phys. Rev. B 55, 11397 (1996)CrossRefADSGoogle Scholar
  7. 7.
    M. Ezawa, Phys. Rev. B 76, 245415 (2007)CrossRefADSGoogle Scholar
  8. 8.
    J. Fernandez-Rossier, J.J. Palacios, Phys. Rev. Lett. 99, 177204 (2007)CrossRefADSGoogle Scholar
  9. 9.
    W.L. Wang, S. Meng, E. Kaxiras, Nano Lett. 8, 241 (2008)CrossRefADSGoogle Scholar
  10. 10.
    S.L. Sondhi, A. Karlhede, S.A. Kivelson, E.H. Rezayi, Phys. Rev. B 47, 16419 (1993)CrossRefADSGoogle Scholar
  11. 11.
    A.H. MacDonald, H.A. Fertig, L. Brey, Phys. Rev. Lett. 76, 2153 (1996)CrossRefADSGoogle Scholar
  12. 12.
    K. Nomura, A.H. MacDonald, Phys. Rev. Lett. 96, 256602 (1996)CrossRefADSGoogle Scholar
  13. 13.
    P. Plochocka, J.M. Schneider, D.K. Maude, M. Potemski, M. Rappaport, V. Umansky, I. Bar-Joseph, J.G. Groshaus, Y. Gallais, A. Pinczuk, Phys. Rev. Lett. 102, 126806 (2009)Google Scholar
  14. 14.
    M. Ciorga, A.S. Sachrajda, P. Hawrylak, C. Gould, P. Zawadzki, S. Jullian, Y. Feng, Z. Wasilewski, Phys. Rev. B 61, R16315 (2000)Google Scholar
  15. 15.
    A.D. Güçlü, Q.F. Sun, H. Guo, R. Harris, Phys. Rev. B 66, 195327 (2002)CrossRefADSGoogle Scholar
  16. 16.
    O. Voznyy, A.D. Güçlü, P. Potasz, P. Hawrylak, Phys. Rev. B 83, 165417 (2011)CrossRefADSGoogle Scholar
  17. 17.
    T. Wassmann, A.P. Seitsonen, A.M. Saitta, M. Lazzeri, F. Mauri, Phys. Rev. Lett. 101, 096402 (2008)CrossRefADSGoogle Scholar
  18. 18.
    P. Koskinen, S. Malola, H. Häkkinen, Phys. Rev. B 80, 073401 (2009)CrossRefADSGoogle Scholar
  19. 19.
    Ç.Ö. Girit, J.C. Meyer, R. Erni, M.D. Rossell, C. Kisielowski, L. Yang, C. Park, M.F. Crommie, M.L. Cohen, S.G. Louie, A. Zettl, Science 323, 1705 (2009)CrossRefADSGoogle Scholar
  20. 20.
    A. Chuvilin, J.C. Meyer, G. Algara-Siller, U. Kaiser, New J. Phys. 11, 083019 (2009)CrossRefADSGoogle Scholar
  21. 21.
    J.M. Soler, E. Artacho, J.D. Gale, A. Garcia, J. Junquera, P. Ordejon, D. Sanchez-Portal, J. Phys. Condens. Matter 14, 2745 (2002)Google Scholar
  22. 22.
    J.P. Perdew, K. Burke, M. Ernzerhof, Phys. Rev. Lett. 77, 3865 (1996)CrossRefADSGoogle Scholar
  23. 23.
    A.D. Güçlü, P. Potasz, P. Hawrylak, Phys. Rev. B 84, 035425 (2011)CrossRefADSGoogle Scholar
  24. 24.
    M. Ezawa, Phys. Rev. B 81, 201402 (2010)CrossRefADSGoogle Scholar
  25. 25.
    P. Potasz, A.D. Güçlü, P. Hawrylak, Phys. Rev. B 81, 033403 (2010)CrossRefADSGoogle Scholar
  26. 26.
    A.D. Güçlü, P. Potasz, P. Hawrylak, Phys. Rev. B 82, 155445 (2010)CrossRefADSGoogle Scholar
  27. 27.
    K.F. Mak, C.H. Lui, J. Shan, T.F. Heinz, Phys. Rev. Lett. 102, 256405 (2009)CrossRefADSGoogle Scholar
  28. 28.
    P. Potasz, A.D. Güçlü, O. Voznyy, J.A. Folk, P. Hawrylak, Phys. Rev. B 83, 174441 (2011)CrossRefADSGoogle Scholar
  29. 29.
    P. Potasz, A.D. Güçlü, P. Hawrylak, Phys. Rev. B 82, 075425 (2010)CrossRefADSGoogle Scholar
  30. 30.
    C.L. Kane, E.J. Mele, Phys. Rev. Lett. 95, 226801 (2005)CrossRefADSGoogle Scholar
  31. 31.
    M.Z. Hasan, C.L. Kane, Rev. Mod. Phys. 82, 3045 (2010)CrossRefADSGoogle Scholar
  32. 32.
    S. Konschuh, M. Gmitra, J. Fabian, Phys. Rev. B 82, 245412 (2010)Google Scholar
  33. 33.
    A.D. Guclu, M. Grabowski, P. Hawrylak, Phys. Rev. B 87, 035435 (2013)CrossRefADSGoogle Scholar
  34. 34.
    R. Herges, Chem. Rev. 106, 4820 (2006)CrossRefGoogle Scholar
  35. 35.
    D. Ajami, O. Oeckler, A. Simon, R. Herges, Nature 426, 819 (2003)CrossRefADSGoogle Scholar
  36. 36.
    K. Wakabayashi, K. Harigaya, J. Phys. Soc. Jpn. 72, 998 (2003)CrossRefADSGoogle Scholar
  37. 37.
    K. Harigaya, A. Yamashiro, Y. Shimoi, K. Wakabayashi, Synth. Met. 152, 261 (2005)CrossRefGoogle Scholar
  38. 38.
    D. Jiang, S. Dai, J. Phys. Chem. C 112, 5348 (2008)CrossRefGoogle Scholar
  39. 39.
    E.W.S. Caetano, V.N. Freire, S.G. dos Santos, D.S. Galvao, F. Sato, J. Chem. Phys. 128, 164719 (2008)CrossRefADSGoogle Scholar
  40. 40.
    Z.L. Guo, Z.R. Gong, H. Dong, C.P. Sun, Phys. Rev. B 80, 195310 (2009)CrossRefADSGoogle Scholar
  41. 41.
    X. Wang, X. Zheng, M. Ni, L. Zou, Z. Zeng, Appl. Phys. Lett. 97, 123103 (2010)CrossRefADSGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • Alev Devrim Güçlü
    • 1
    Email author
  • Pawel Potasz
    • 2
  • Marek Korkusinski
    • 3
  • Pawel Hawrylak
    • 4
  1. 1.Department of PhysicsIzmir Institute of TechnologyIzmirTurkey
  2. 2.Institute of PhysicsWrocław University of TechnologyWrocławPoland
  3. 3.Emerging Technologies Division, Quantum Theory GroupNational Research Council of CanadaOttawaCanada
  4. 4.Department of PhysicsUniversity of OttawaOttawaCanada

Personalised recommendations