Progress of Theoretical Physics
Supplement No. 176 (2008) pp. 227-252
URL : http://ptp.ipap.jp/link?PTPS/176/227/
DOI : 10.1143/PTPS.176.227

Electronic Structure of Multilayer Graphene

Hongki Min^* and Allan H. MacDonald

We study the electronic structure of multilayer graphene using a π-orbital continuum model with nearest-neighbor intralayer and interlayer tunneling. Using degenerate state perturbation theory, we show that the low-energy electronic structure of arbitrarily stacked graphene multilayers consists of chiral pseudospin doublets with a conserved chirality sum.

^*E-mail: hongki@physics.utexas.edu

References:

1. A. K. Geim and K. S. Novoselov, Nature Materials 6 (2007), 183.
2. A. K. Geim and A. H. MacDonald, Phys. Today 60 (8) (2007), 35.
3. K. S. Novoselov, A. K. Geim, S. V. Morozov, D. Jiang, Y. Zhang, S. V. Dubonos, I. V. Grigorieva and A. A. Firsov, Science 306 (2004), 666[Science].
4. 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, Phys. Chem. B 108 (2004), 19912.
5. T. Ohta, A. Bostwick, T. Seyller, K. Horn and E. Rotenberg, Science 313 (2006), 951[Science].
6. A. Rycerz, J. Tworzydl and C. W. J. Beenakker, Nature Phys. 3 (2007), 172.
7. V. V. Cheianov, V. I. Fal'ko and B. L. Altshuler, Science 315 (2007), 1252[Science].
8. K. S. Novoselov, A. K. Geim, S.V. Morozov, D. Jiang, M. I. Katsnelson, I. V. Grigorieva, S. V. Dubonos and A. A. Firsov, Nature 438 (2005), 197[CrossRef].
9. Y. Zhang, Y. W. Tan, H. L. Stormer and P. Kim, Nature 438 (2005), 201[CrossRef].
10. The present article is an expanded version of Hongki Min and A. H. MacDonald, Phys. Rev. B 77 (2008), 155416[APS].
11. J. Hass, F. Varchon, J. E. Millán-Otoya, M. Sprinkle, N. Sharma, W. A. de Heer, C. Berger, P. N. First, L. Magaud and E. H. Conrad, Phys. Rev. Lett. 100 (2008), 125504[APS].
12. J. C. Charlier, J. P. Michenaud and X. Gonze, Phys. Rev. B 46 (1992), 4531[APS].
13. P. D. Ritger and N. J. Rose, Equations with Applications (McGraw-Hill Book Company, New York, 1968).
14. F. Guinea, A. H. Castro Neto and N. M. R. Peres, Phys. Rev. B 73 (2006), 245426[APS].
15. E. McCann and V. I. Fal'ko, Phys. Rev. Lett. 96 (2006), 086805[APS].
16. J. J. Sakurai, Modern Quantum Mechanics (Addison Wesley, Reading, 1994).
17. M. Koshino and T. Ando, Phys. Rev. B 76 (2007), 085425[APS].
18. J. L. Mañes, F. Guinea and M. A. H. Vozmediano, Phys. Rev. B 75 (2007), 155424[APS].
19. M. Nakamura and L. Hirasawa, Phys. Rev. B 77 (2008), 045429[APS].
20. D. A. Abanin, P. A. Lee and L. S. Levitov, Phys. Rev. Lett. 96 (2006), 176803[APS].
21. K. Nomura and A. H. MacDonald, Phys. Rev. Lett. 96 (2006), 256602[APS].
22. J. Alicea and M. P. A. Fisher, Phys. Rev. B 74 (2006), 075422[APS].
23. M. O. Goerbig, R. Moessner and B. Doucot, Phys. Rev. B 74 (2006), 161407[APS].
24. K. Yang, S. Das Sarma and A. H. MacDonald, Phys. Rev. B 74 (2006), 075423[APS].
25. Y. Barlas, R. Cote, K. Nomura and A. H. MacDonald, Phys. Rev. Lett. 101 (2008), 097601[APS].
26. Hongki Min, G. Borghi, M. Polini and A. H. MacDonald, Phys. Rev. B 77 (2008), 041407[APS].

Quick Search:

Copyright (c) Progress of Theoretical Physics 2010 All rights reserved.
ptp@yukawa.kyoto-u.ac.jp