Atomic resolution imaging of the two-component Dirac-Landau levels in a gapped graphene monolayer

Physical Review B - Condensed Matter and Materials Physics

Volumn 92, Issue 16, 2015, Pages

  Wang, Wen Xiao ^a   Yin, Long Jing ^a   Qiao, Jia Bin ^a   Cai, Tuocheng ^b,c   Li, Si Yu ^a   Dou, Rui Fen ^a   Nie, Jia Cai ^a   Wu, Xiaosong ^b,c   He, Lin ^a  

^a BEIJING NORMAL UNIVERSITY   (China)

^b PEKING UNIVERSITY   (China)

^c The Collaborative Innovation Center of Quantum Matter   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84944754825     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.92.165420     Document Type: Article

References (29)

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). 10.1103/RevModPhys.81.109
2. M. O. Goerbig, Electronic properties of graphene in a strong magnetic field, Rev. Mod. Phys. 83, 1193 (2011). 10.1103/RevModPhys.83.1193
3. M. I. Katsnelson, K. S. Novoselov, and A. K. Geim, Chiral tunneling and the Klein paradox in graphene, Nat. Phys. 2, 620 (2006). 10.1038/nphys384
4. Y.-S. Fu, M. Kawamura, K. Igarashi, H. Takagi, T. Hannaguri, and T. Sasagawa, Imaging the two-component nature of Dirac-Landau levels in the topological surface state of (Equation presented), Nat. Phys. 10, 815 (2014). 10.1038/nphys3084
5. D. Xiao, W. Yao, and Q. Niu, Valley-Contrasting Physics in Graphene: Magnetic Moment and Topological Transport, Phys. Rev. Lett. 99, 236809 (2007). 10.1103/PhysRevLett.99.236809
6. H. Min, J. E. Hill, N. A. Sinitsyn, B. R. Sahu, L. Kleinman, and A. H. MacDonald, Intrinsic and Rashba spin-orbit interactions in graphene sheets, Phys. Rev. B 74, 165310 (2006). 10.1103/PhysRevB.74.165310
7. S. Y. Zhou, G.-H. Gweon, A. V. Fedorov, P. N. First, W. A. de Heer, D.-H. Lee, F. Guinea, A. H. Castro Neto, and A. Lanzara, Substrate-induced bandgap opening in epitaxial graphene, Nat. Mater. 6, 770 (2007). 10.1038/nmat2003
8. G. Li, A. Luican, and E. Y. Andrei, Scanning Tunneling Spectroscopy of Graphene on Graphite, Phys. Rev. Lett. 102, 176804 (2009). 10.1103/PhysRevLett.102.176804
9. X. Du, I. Skachko, F. Duerr, A. Luican, and E. Y. Andrei, Fractional quantum Hall effect and insulating phase of Dirac electrons in graphene, Nature (London) 462, 192 (2009). 10.1038/nature08522
10. D. L. Miller, K. D. Kubista, G. M. Rutter, M. Ruan, W. A. de Heer, P. N. First, and J. A. Stroscio, Observing the quantization of zero mass carriers in graphene, Science 324, 924 (2009). 10.1126/science.1171810
11. G. Li, A. Luican-Mayer, D. Abanin, L. Levitov, and E. Y. Andrei, Evolution of Landau levels into edge states in graphene, Nat. Commun. 4, 1744 (2013). 10.1038/ncomms2767
12. B. Hunt, J. D. Sanchez-Yamagishi, A. F. Young, M. Yankowitz, B. J. LeRoy, K. Watanabe, T. Taniguchi, P. Moon, M. Koshino, P. Jarillo-Herrero, and R. C. Ashoori, Massive Dirac fermions and Hofstadter butterfly in a van der Waals heterostructure, Science 340, 1427 (2013). 10.1126/science.1237240
13. R. V. Gorbachev, J. C. W. Song, G. L. Yu, A. V. Kretinin, F. Withers, Y. Cao, A. Mishchenko, I. V. Grigorieva, K. S. Novoselov, L. S. Levitov, and A. K. Geim, Detecting topological currents in graphene superlattices, Science 346, 448 (2014). 10.1126/science.1254966
14. M. Koshino and T. Ando, Anomalous orbital magnetism in Dirac-electron systems: Role of pseudospin paramagnetism, Phys. Rev. B 81, 195431 (2010). 10.1103/PhysRevB.81.195431
15. J. L. Lado, J. W. Gonzalez, and J. Fernandez-Rossier, Quantum Hall effect in gapped graphene heterojunctions, Phys. Rev. B 88, 035448 (2013). 10.1103/PhysRevB.88.035448
16. See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevB.92.165420 for Raman spectra, more STM images, STS spectra, and details of the analysis.
17. C. Berger, Z. Song, T. Li, X. Li, A. Y. Ogbazghi, R. Feng, Z. Dai, A. N. Marchenkov, E. H. Conrad, P. N. First, and W. A. de Heer, Ultrathin epitaxial graphite: 2D electron gas properties and a route toward graphene-based nanoelectronics, J. Phys. Chem. B 108, 19912 (2004). 10.1021/jp040650f
18. X. Wu, X. Li, Z. Song, C. Berger, and W. A. de Heer, Weak Antilocalization in Epitaxial Graphene: Evidence for Chiral Electrons, Phys. Rev. Lett. 98, 136801 (2007). 10.1103/PhysRevLett.98.136801
19. T. Cai, Z. Jia, B. Yan, D. Yu, and X. Wu, Hydrogen assisted growth of high quality epitaxial graphene on the C-face of 4H-SiC, Appl. Phys. Lett. 106, 013106 (2015). 10.1063/1.4905453
20. R. Zhang, Y. Dong, W. Kong, W. Han, P. Tan, Z. Liao, X. Wu, and D. Yu, Growth of large domain epitaxial graphene on the C-face of SiC, J. Appl. Phys. 112, 104307 (2012). 10.1063/1.4765666
21. C. Berger, Z. Song, X. Li, X. Wu, N. Brown, C. Naud, D. Mayou, T. Li, J. Hass, A. N. Marchenkov, E. H. Conrad, P. N. First, and W. A. de Heer, Electronic confinement and coherence in patterned epitaxial graphene, Science 312, 1191 (2006). 10.1126/science.1125925
22. J. Hicks, M. Sprinkle, K. Shepperd, F. Wang, A. Tejeda, A. Taleb-Ibrahimi, F. Bertran, P. Le Fevre, W. A. de Heer, C. Berger, and E. H. Conrad, Symmetry breaking in commensurate graphene rotational stacking: Comparison of theory and experiment, Phys. Rev. B 83, 205403 (2011). 10.1103/PhysRevB.83.205403
23. J. Hass, F. Varchon, J. E. Millan-Otoya, M. Sprinkle, N. Sharma, W. A. de Heer, C. Berger, P. N. First, L. Magaud, and E. H. Conrad, Why Multilayer Graphene on 4H-SiC(0001) Behaves Like a Single Sheet of Graphene, Phys. Rev. Lett. 100, 125504 (2008). 10.1103/PhysRevLett.100.125504
24. L.-J. Yin, S.-Y. Li, J.-B. Qiao, J.-C. Nie, and L. He, Landau quantization in graphene monolayer, Bernal bilayer, and Bernal trilayer on graphite surface, Phys. Rev. B 91, 115405 (2015). 10.1103/PhysRevB.91.115405
25. L.-J. Yin, J.-B. Qiao, W.-X. Wang, Z.-D. Chu, K. F. Zhang, R.-F. Dou, C. L. Gao, J.-F. Jia, J.-C. Nie, and L. He, Tuning structures and electronic spectra of graphene layers with tilt grain boundaries, Phys. Rev. B 89, 205410 (2014). 10.1103/PhysRevB.89.205410
26. L.-J. Yin, J.-B. Qiao, W.-J. Zuo, W.-T. Li, and L. He, Experimental evidence for non-Abelian gauge potentials in twisted graphene bilayers, Phys. Rev. B 92, 081406 (R) (2015). 10.1103/PhysRevB.92.081406
27. K.-K. Bai, Y.-C. Wei, J.-B. Qiao, S.-Y. Li, L.-J. Yin, W. Yan, J.-C. Nie, and L. He, Detecting giant electron-hole asymmetry in a graphene monolayer generated by strain and charged-defect scattering via Landau level spectroscopy, Phys. Rev. B 92, 121405 (R) (2015). 10.1103/PhysRevB.92.121405
28. M. Z. Hasan and C. L. Kane, Colloquium: Topological insulators, Rev. Mod. Phys. 82, 3045 (2010). 10.1103/RevModPhys.82.3045
29. X.-L. Qi and S.-C. Zhang, Topological insulators and superconductors, Rev. Mod. Phys. 83, 1057 (2011). 10.1103/RevModPhys.83.1057