Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 3.0 License. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Open Access

Quantum Hall Effect and Semimetallic Behavior of Dual-Gated ABA-Stacked Trilayer Graphene

E. A. Henriksen*, D. Nandi, and J. P. Eisenstein

  • Condensed Matter Physics, California Institute of Technology, Pasadena, California 91125, USA

  • *erikku@caltech.edu

Phys. Rev. X 2, 011004 – Published 19 January, 2012

DOI: https://doi.org/10.1103/PhysRevX.2.011004

Abstract

The electronic structure of multilayer graphenes depends strongly on the number of layers as well as the stacking order. Here we explore the electronic transport of purely ABA-stacked trilayer graphenes in a dual-gated field-effect device configuration. We find both that the zero-magnetic-field transport and the quantum Hall effect at high magnetic fields are distinctly different from the monolayer and bilayer graphenes, and that they show electron-hole asymmetries that are strongly suggestive of a semimetallic band overlap. When the ABA trilayers are subjected to an electric field perpendicular to the sheet, Landau-level splittings due to a lifting of the valley degeneracy are clearly observed.

View figure in article

Popular Summary

See Also

Article Text

References (40)

  1. A. H. Castro Neto, F. Guinea, N. M. R. Peres, K. S. Novoselov, and A. K. Geim, The Electronic Properties of Graphene, Rev. Mod. Phys. 81, 109 (2009).
  2. D. S. L. Abergel, V. Apalkov, J. Berashevich, K. Ziegler, and T. Chakraborty, Properties of Graphene: A Theoretical Perspective, Adv. Phys. 59, 261 (2010).
  3. S. Das Sarma, S. Adam, E. H. Hwang, and E. Rossi, Electronic Transport in Two-Dimensional Graphene, Rev. Mod. Phys. 83, 407 (2011).
  4. S. Latil and L. Henrard, Charge Carriers in Few-Layer Graphene Films, Phys. Rev. Lett. 97, 036803 (2006).
  5. F. Guinea, A. H. Castro Neto, and N. M. R. Peres, Electronic States and Landau Levels in Graphene Stacks, Phys. Rev. B 73, 245426 (2006).
  6. B. Partoens and F. M. Peeters, From Graphene to Graphite: Electronic Structure around the K Point, Phys. Rev. B 74, 075404 (2006).
  7. M. Aoki and H. Amawashi, Dependence of Band Structures on Stacking and Field in Layered Graphene, Solid State Commun. 142, 123 (2007).
  8. M. Koshino and E. McCann, Gate-Induced Interlayer Asymmetry in ABA-Stacked Trilayer Graphene, Phys. Rev. B 79, 125443 (2009).
  9. N. B. Brandt, S. M. Chudinov, and Ya. G. Ponomarev, Semimetals: Graphite and Its Compounds (North-Holland, Amsterdam, 1988).
  10. H. Yaguchi and J. Singleton, A High-Magnetic-Field-Induced Density-Wave State in Graphite, J. Phys. Condens. Matter 21, 344207 (2009).
  11. K. Behnia, L. Balicas, and Y. Kopelevich, Signatures of Electron Fractionalization in Ultraquantum Bismuth, Science 317, 1729 (2007).
  12. M. F. Craciun, S. Russo, M. Yamamoto, J. B. Oostinga, A. F. Morpurgo, and S. Tarucha, Trilayer Graphene Is a Semimetal with a Gate-Tunable Band Overlap, Nature Nanotech. 4, 383 (2009).
  13. T. Taychatanapat, K. Watanabe, T. Taniguchi, and P. Jarillo-Herrero, Quantum Hall Effect and Landau-Level Crossing of Dirac Fermions in Trilayer Graphene, Nature Phys. 7, 621 (2011).
  14. A. Kumar, W. Escoffier, J. M. Poumirol, C. Faugeras, D. P. Arovas, M. M. Fogler, F. Guinea, S. Roche, M. Goiran, and B. Raquet, Integer Quantum Hall Effect in Trilayer Graphene, Phys. Rev. Lett. 107, 126806 (2011).
  15. C. H. Lui, Z. Li, Z. Chen, P. V. Klimov, L. E. Brus, and T. F. Heinz, Imaging Stacking Order in Few-Layer Ggraphene, Nano Lett. 11, 164 (2011).
  16. C. H. Lui, Z. Li, K. F. Mak, E. Cappelutti, and T. F. Heinz, Observation of an Electrically Tunable Band Gap in Trilayer Graphene, Nature Phys. 7, 944 (2011).
  17. W. Bao, L. Jing, J. Velasco Jr., Y. Lee, G. Liu, D. Tran, B. Standley, M. Aykol, S. B. Cronin, D. Smirnov, M. Koshino, E. McCann, M. Bockrath, and C. N. Lau, Stacking-Dependent Band Gap and Quantum Transport in Trilayer Graphene, Nature Phys. 7, 948 (2011).
  18. L. Zhang, Y. Zhang, J. Camacho, M. Khodas, and I. Zaliznyak, The Experimental Observation of Quantum Hall Effect of l=3 Chiral Quasiparticles in Trilayer Graphene, Nature Phys. 7, 953 (2011).
  19. S. Jhang, M. F. Craciun, S. Schmidmeier, S. Tokumitsu, S. Russo, M. Yamamoto, Y. Skourski, J. Wosnitza, S. Tarucha, J. Eroms, and C. Strunk, Stacking-Order Dependent Transport Properties of Trilayer Graphene, Phys. Rev. B 84, 161408(R) (2011).
  20. Y. Zhang, T. Tang, C. Girit, Z. Hao, M. C. Martin, A. Zettl, M. F. Crommie, Y. R. Shen, and F. Wang, Direct Observation of a Widely Tunable Bandgap in Bilayer Graphene, Nature (London) 459, 820 (2009).
  21. E. A. Henriksen and J. P. Eisenstein, Measurement of the Electronic Compressibility of Bilayer Graphene, Phys. Rev. B 82, 041412(R) (2010).
  22. A. A. Avetisyan, B. Partoens, and F. M. Peeters, Electric-Field Control of the Band Gap and Fermi Energy in Graphene Multilayers by Top and Back Gates, Phys. Rev. B 80, 195401 (2009).
  23. Z. Li, E. A. Henriksen, Z. Jiang, Z. Hao, M. C. Martin, P. Kim, H. L. Stormer, and D. N. Basov, Dirac Charge Dynamics in Graphene by Infrared Spectroscopy, Nature Phys. 4, 532 (2008).
  24. K. F. Mak, M. Y. Sfeir, J. A. Misewich, and T. F. Heinz, The Evolution of Electronic Structure in Few-Layer Graphene Revealed by Optical Spectroscopy, Proc. Natl. Acad. Sci. U.S.A. 107, 14999 (2010).
  25. Z. Li, E. A. Henriksen, Z. Jiang, Z. Hao, M. C. Martin, P. Kim, H. L. Stormer, and D. N. Basov, Band Structure Asymmetry of Bilayer Graphene Revealed by Infrared Spectroscopy, Phys. Rev. Lett. 102, 037403 (2009).
  26. A. Kuzmenko, E. Van Heuman, D. Van Der Marel, P. Lerch, P. Blake, K. S. Novoselov, and A. K. Geim, Infrared Spectroscopy of Electronic Bands in Bilayer Graphene, Phys. Rev. B 79, 115441 (2009).
  27. T. Taychatanapat and P. Jarillo-Herrero, Electronic Transport in Dual-Gated Bilayer Graphene at Large Displacement Fields, Phys. Rev. Lett. 105, 166601 (2010).
  28. K. Zou and J. Zhu, Transport in Gapped Bilayer Graphene: The Role of Potential Fluctuations, Phys. Rev. B 82, 081407 (2010).
  29. S. Xiao, J.-H. Chen, S. Adam, E. D. Williams, and M. S. Fuhrer, Charged Impurity Scattering in Bilayer Graphene, Phys. Rev. B 82, 041406(R) (2010).
  30. S. Yuan, H. De Raedt, and M. I. Katsnelson, Electronic Transport in Disordered Bilayer and Trilayer Graphene, Phys. Rev. B 82, 235409 (2010).
  31. H. Min, P. Jain, S. Adam, and M. D. Stiles, Semiclassical Boltzmann Transport Theory for Graphene Multilayers, Phys. Rev. B 83, 195117 (2011).
  32. M. Koshino and E. McCann, Parity and Valley Degeneracy in Multilayer Graphene, Phys. Rev. B 81, 115315 (2010).
  33. S. Yuan, R. Roldán, and M. I. Katsnelson, Landau Level Spectrum of ABA- and ABC-Stacked Trilayer Graphene, Phys. Rev. B 84, 125455 (2011).
  34. M. Koshino and E. McCann, Trigonal Warping and Berry’s Phase Nπ in ABC-Stacked Multilayer Graphene, Phys. Rev. B 80, 165409 (2009).
  35. M. Koshino and E. McCann, Landau Level Spectra and the Quantum Hall Effect of Multilayer Graphene, Phys. Rev. B 83, 165443 (2011).
  36. D. A. Abanin, K. S. Novoselov, U. Zeitler, P. A. Lee, A. K. Geim, and L. S. Levitov, Dissipative Quantum Hall Effect in Graphene near the Dirac Point, Phys. Rev. Lett. 98, 196806 (2007).
  37. H. Fertig and L. Brey, Luttinger Liquid at the Edge of Undoped Graphene in a Strong Magnetic Field, Phys. Rev. Lett. 97, 116805 (2006).
  38. J. Martin, N. Akerman, G. Ulbricht, T. Lohmann, J. H. Smet, K. Von Klitzing, and A. Yacoby, Observation of Electron-Hole Puddles in Graphene Using a Scanning Single-Electron Transistor, Nature Phys. 4, 144 (2007).
  39. A. C. Beer, Galvenomagnetic Effects in Semiconductors (Academic Press, New York, 1963).
  40. E. H. Hwang and S. Das Sarma, Insulating Behavior in Metallic Bilayer Graphene: Interplay between Density Inhomogeneity and Temperature, Phys. Rev. B 82, 081409(R) (2010).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation