Electron interaction, charging, and screening at grain boundaries in graphene

Physical Review B - Condensed Matter and Materials Physics

Volumn 88, Issue 8, 2013, Pages

  Ihnatsenka, S ^a   Zozoulenko, I V ^b  

^a SIMON FRASER UNIVERSITY   (Canada)

^b LINKÖPING UNIVERSITY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84884521669     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.88.085436     Document Type: Article

References (36)

1. K. S. Kim, Y. Zhao, H. Jang, S. Y. Lee, J. M. Kim, K. S. Kim, J. H. Ahn, P. Kim, J. Y. Choi, and B. H. Hong, Nature (London) NATUAS 0028-0836 10.1038/nature07719 457, 706 (2009).
2. X. Li, W. Cai, J. An, S. Kim, J. Nah, D. Yang, R. Piner, A. Velamakanni, I. Jung, E. Tutuc, S. K. Banerjee, L. Colombo, and R. S. Ruoff, Science SCIEAS 0036-8075 10.1126/science.1171245 324, 1312 (2009).
3. P. Y. Huang, C. S. Ruiz-Vargas, A. M. van der Zande, W. S. Whitney, M. P. Levendorf, J. W. Kevek, S. Garg, J. S. Alden, C. J. Hustedt, Y. Zhu, J. Park, P. L. McEuen, and D. A. Muller, Nature (London) NATUAS 0028-0836 10.1038/nature09718 469, 389 (2010).
4. K. Kim, Z. Lee, W. Regan, C. Kisielowski, M. F. Crommie, and A. Zettl, ACS Nano 1936-0851 10.1021/nn1033423 5, 2142 (2011).
5. For a review see, e.g., H. Terrones, R. Lv, M. Terrones, and M. S. Dresselhaus, Rep. Prog. Phys. RPPHAG 0034-4885 10.1088/0034-4885/75/6/062501 75, 062501 (2012).
6. O. V. Yazyev and S. G. Louie, Nat. Mater. 1476-1122 10.1038/nmat2830 9, 806 (2010).
7. Q. Yu, L. A. Jauregui, W. Wu, R. Colby, J. Tian, Z. Su, H. Cao, Z. Liu, D. Pandey, D. Wei, T. F. Chung, P. Peng, N. P. Guisinger, E. A. Stach, J. Bao, S.-S. Pei, and Y. P. Chen, Nat. Mater. 1476-1122 10.1038/nmat3010 10, 443 (2011).
8. M. Ahmad, H. An, Y. S. Kim, J. H. Lee, J. Jung, S.-H. Chun, and Y. Seo, Nanotechnology NNOTER 0957-4484 10.1088/0957-4484/23/28/285705 23, 285705 (2012).
9. L. Tapasztó, P. Nemes-Incze, G. Dobrik, K. J. Yoo, Ch. Hwang, and L. P. Biró, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.3681375 100, 053114 (2012).
10. A. W. Tsen, L. Brown, M. P. Levendorf, F. Ghahari, P. Y. Huang, R. W. Havener, C. S. Ruiz-Vargas, D. A. Muller, P. Kim, and J. Park, Science SCIEAS 0036-8075 10.1126/science.1218948 336, 1143 (2012).
11. J. C. Koepke, J. D. Wood, D. Estrada, Z.-Y. Ong, K. T. He, E. Pop, and J. W. Lyding, ACS Nano 1936-0851 10.1021/nn302064p 7, 75 (2013).
12. A. Ferreira, X. Xu, C.-L. Tan, S.-K. Bae, N. M. R. Peres, B.-H. Hong, B. Ozyilmaz, and A. H. Castro Neto, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/94/28003 94, 28003 (2011).
13. J. N. B. Rodrigues, N. M. R. Peres, and J. M. B. Lopes dos Santos, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.86.214206 86, 214206 (2012).
14. D. V. Tuan, J. Kotakoski, T. Louvet, F. Ortmann, J. C. Meyer, and S. Roche, Nano Lett. 10.1021/nl400321r 13, 1730 (2013).
15. T. M. Radchenko, A. A. Shylau, I. V. Zozoulenko, and A. Ferreira, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.87.195448 87, 195448 (2013).
16. A. R. Botello-Méndez, E. Cruz-Silva, F. López-Urías, B. G. Sumpter, V. Meunier, M. Terrones, and H. Terrones, ACS Nano 1936-0851 10.1021/nn900614x 3, 3606 (2009).
17. S. S. Alexandre, A. D. Lúcio, A. H. Castro, and R. W. Nunes, Nano Lett. NALEFD 1530-6984 10.1021/nl3017434 12, 5097 (2012).
18. D. A. Bahamon, A. L. C. Pereira, and P. A. Schulz, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.83.155436 83, 155436 (2011).
19. J. Song, H. Liu, H. Jiang, Q.-f. Sun, and X. C. Xie, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.86.085437 86, 085437 (2012).
20. L. Jiang, G. Yu, W. Gao, Z. Liu, and Y. Zheng, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.86.165433 86, 165433 (2012).
21. L. Kou, C. Tang, W. Guo, and C. Chen, ACS Nano 1936-0851 10.1021/nn1024175 5, 1012 (2011).
22. S. Okada, K. Nakada, K. Kuwabara, K. Daigoku, and T. Kawai, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.74.121412 74, 121412 (R) (2006). (Pubitemid 44484381)
23. J. Lahiri, Y. Lin, P. Bozkurt, I. I. Oleynik, and M. Batzill, Nat. Nanotechnol. 1748-3387 10.1038/nnano.2010.53 5, 326 (2010).
24. G. W. Semenoff, V. Semenoff, and F. Zhou, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.087204 101, 087204 (2008).
25. J. Jung, Z. Qiao, Q. Niu, and A. H. MacDonald, Nano Lett. NALEFD 1530-6984 10.1021/nl201941f 11, 3453 (2011).
26. Z. Qiao, J. Jung, Q. Niu, and A. H. MacDonald, Nano Lett. NALEFD 1530-6984 10.1021/nl300610w 12, 2936 (2012).
27. A. A. Shylau, J. W. Klos, and I. V. Zozoulenko, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.80.205402 80, 205402 (2009).
28. gaussian 09, revision A.02 (Gaussian, Inc., Wallingford, CT, 2009); The HSEh1PBE hybrid density functional and 6-311G(d) basis set were used in the geometry relaxations carried out in the present study.
29. S. Ihnatsenka and I. V. Zozoulenko, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.86.155407 86, 155407 (2012).
30. S. Ihnatsenka and G. Kirczenow, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.86.075448 86, 075448 (2012).
31. T. O. Wehling, E. Şaşioǧlu, C. Friedrich, A. I. Lichtenstein, M. I. Katsnelson and S. Blügel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.106.236805 106, 236805 (2011).
32. O. V. Yazyev, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101. 037203 101, 037203 (2008).
33. S. Ihnatsenka and I. V. Zozoulenko, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.78.035340 78, 035340 (2008).
34. For a recent review see G. Kirczenow, in The Oxford Handbook of Nanoscience and Technology, Volume I: Basic Aspects, edited by, A. V. Narlikar, and, Y. Y. Fu, (Oxford University Press, London, 2010), Chap. 4.
35. The version of extended Hückel theory that we use here is that of J. H. Ammeter, H.-B. Bürgi, J. C. Thibeault, and R. Hoffman, J. Am. Chem. Soc. JACSAT 0002-7863 10.1021/ja00480a005 100, 3686 (1978), as implemented in the yaehmop numerical package by G. A. Landrum and W. V. Glassey (Source-Forge, Fremont, California, 2001).
36. S. Ihnatsenka and G. Kirczenow, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.83.245442 83, 245442 (2011).