Quantum faraday and kerr rotations in graphene

Nature Communications

Volumn 4, Issue , 2013, Pages

  Shimano, R ^a   Yumoto, G ^a   Yoo, J Y ^a   Matsunaga, R ^a   Tanabe, S ^b   Hibino, H ^b   Morimoto, T ^c   Aoki, H ^a  

^a UNIVERSITY OF TOKYO   (Japan)

^b Kashino Diverse Brain Research Laboratory of NTT Communication Science Laboratories   (Japan)

^c RIKEN   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

GRAPHENE;

ALKENE; CARBON; ELECTRON; FREQUENCY ANALYSIS; QUANTUM MECHANICS;

ACCURACY; ARTICLE; CHEMICAL STRUCTURE; CONTROLLED STUDY; DISPERSION; ELECTRON; ELECTRONICS; KERR ROTATION; MAGNETIC FIELD; MAGNETISM; OPTICAL ROTATORY DISPERSION; OPTICS; QUANTUM FARADAY; QUANTUM MECHANICS; TERAHERTZ IMAGING;

EID: 84878525412     PISSN: None     EISSN: 20411723     Source Type: Journal    
DOI: 10.1038/ncomms2866     Document Type: Article

References (38)

1. Semenoff, G. W. Condensed-matter simulation of a three-dimensional anomaly. Phys. Rev. Lett. 53, 2449-2452 (1984)
2. Haldane, F. D. M. Model for a quantum Hall effect without landau levels: condensed-matter realization of the ''Parity Anomaly''. Phys. Rev. Lett. 61, 2015-2018 (1988)
3. Geim, A. K. & Novoselov, K. S. The rise of graphene. Nat. Mat. 6, 183-191 (2007) (Pubitemid 46353764)
4. Novoselov, K. S. et al. Two-dimensional gas of massless Dirac fermions in graphene. Nature 438, 197-200 (2005) (Pubitemid 41599867)
5. Zhang, Y., Tan, Y. -W., Stormer, H. L. & Kim, P. Experimental observation of the quantum Hall effect and Berry's phase in graphene. Nature 438, 201-204 (2005) (Pubitemid 41599868)
6. Castro Neto, A. H., Guinea, F., Peres, N. M. R., Novoselov, K. S. & Geim, A. K. The electronic properties of graphene. Rev. Mod. Phys. 81, 109-162 (2009)
7. Goerbig, M. O. Electronic properties of graphene in a strong magnetic field. Rev. Mod. Phys. 83, 1193-1243 (2011)
8. Nair, R. R. et al. Fine structure constant defines visual transparency of graphene. Science 320, 1308 (2008) (Pubitemid 351929460)
9. Aoki, H. & Ando, T. Effect of localization on the Hall conductivity in the two-dimensional system in strong magnetic fields. Solid State Commun 38, 1079-1082 (1981) (Pubitemid 11522884)
10. Morimoto, T., Hatsugai, Y. & Aoki, H. Optical Hall conductivity in ordinary and graphene quantum Hall systems. Phys. Rev. Lett. 103, 116803 (2009)
11. Qi, X. -L., Hughes, T. L. & Zhang, S. -C. Topological field theory of timereversal invariant insulators. Phys. Rev. B 78, 195424 (2008)
12. Tse, W. -K. & MacDonald, A. H. Magneto-optical Faraday and Kerr effects in topological insulator films and in other layered quantized Hall systems. Phys. Rev. B 84, 205327 (2011)
13. Volkov, V. A. et al. Experimental observation of quantization of the Faraday rotation in a 2D electron system. JETP Lett. 43, 326-329 (1985)
14. Kuchar, F., Meisels, R., Weimann, G. & Schlapp, W. Microwave Hall conductivity of the two-dimensional electron gas in GaAs-AlxGa1-xAs. Phys. Rev. B 33, 2965-2967 (1986)
15. Ikebe, Y., Morimoto, T., Masutomi, R., Okamoto, T., Aoki, H. & Shimano, R. Optical Hall effect in the integer quantum Hall regime. Phys. Rev. Lett. 104, 256802 (2010)
16. Crassee, I. et al. Giant Faraday rotation in single- and multilayer graphene. Nat. Phys. 7, 48-51 (2011)
17. Volkov, V. A. & Mikhailov, S. A. Quantization of the Faraday effect in systems with a quantum Hall effect. JETP Lett. 41, 476-478 (1985)
18. Tanabe, S., Sekine, Y., Kageshima, H., Nagase, M. & Hibino, H. Carrier transport mechanism in graphene on SiC(0001). Phys. Rev. B 84, 115458 (2011)
19. Tanabe, S., Sekine, Y., Kageshima, H., Nagase, M. & Hibino, H. Half-integer quantum Hall effect in gate-controlled epitaxial graphene devices. Appl. Phys. Exp. 3, 075102 (2010)
20. Hibino, H., Tanabe, S., Mizuno, S. & Kageshima, H. Growth and electronic transport properties of epitaxial graphene on SiC. J. Phys. D Appl. Phys. 45, 154008 (2012)
21. Ferrari, A. C. et al. Raman spectrum of graphene and graphene layers. Phys. Rev. Lett. 97, 187401 (2006)
22. Ando, T., Zheng, Y. S. & Suzuura, H. Dynamical conductivity and zero-mode anomaly in honeycomb lattices. J. Phys. Soc. Jpn. 71, 1318-1324 (2002)
23. Orlita, M. et al. Classical to quantum crossover of the cyclotron resonance in graphene: a study of the strength of intraband absorption. N. J. Phys. 14, 095008 (2012)
24. O'Connell, R. F. & Wallace, G. Ellipticity and Faraday rotation due to a twodimensional electron gas in a metal-oxide-semiconductor system. Phys. Rev. B 26, 2231-2234 (1982)
25. Patrick, L. & Choyke, W. J. Static dielectric constant of SiC. Phys. Rev. B 2, 2255-2256 (1970)
26. Crassee, I. et al. Intrinsic terahertz plasmons and magnetoplasmons in large scale monolayer graphene. Nano Lett. 12, 2470-2474 (2012)
27. Ferreira, A. et al. Faraday effect in graphene enclosed in an optical cavity and the equation of motion method for the study of magneto-optical transport in solids. Phys. Rev. B 84, 235410 (2011)
28. Hancock, J. N. et al. Surface state charge dynamics of a high-mobility threedimensional topological insulator. Phys. Rev. Lett. 107, 136803 (2011)
29. Valde's Aguilar, R. et al. Terahertz response and colossal Kerr rotation from the surface states of the topological insulator Bi2Se3. Phys. Rev. Lett. 108, 087403 (2012)
30. Martin, J. et al. Observation of electron-hole puddles in graphene using a scanning single-electron transistor. Nat. Phys. 4, 144 (2008)
31. Zhang, Y., Brar, V. W., Girit, C., Zettl, A. & Crommie, M. F. Origin of spatial charge inhomogeneity in graphene. Nat. Phys. 5, 722 (2009)
32. Jang, C. et al. Tuning the effective fine structure constant in graphene: opposing effects of dielectric screening on short- and long-range potential scattering. Phys. Rev. Lett. 101, 146805 (2008)
33. Peres, N. M. R. Colloquium: the transport properties of graphene: an introduction. Rev. Mod. Phys. 82, 2673 (2010)
34. Novoselov, K. S. et al. Room-temperature quantum Hall effect in graphene. Science 315, 1379 (2007) (Pubitemid 46399539)
35. Tse, W. -K., Qiao, Z., Yao, Y., MacDonald, A. H. & Niu, Q. Quantum anomalous Hall effect in single-layer and bilayer graphene. Phys. Rev. B 83, 155447 (2011)
36. Young, A. F. et al. Spin and valley quantum Hall ferromagnetism in graphene. Nat. Phys. 8, 550-556 (2012)
37. Ikebe, Y. & Shimano, R. Characterization of doped silicon in low carrier density region by terahertz frequency Faraday effect. Appl. Phys. Lett. 92, 012111 (2008)
38. Gusynin, V. P., Sharapov, S. G. & Carbotte, J. P. Magneto-optical conductivity in graphene. J. Phys. Condens. Matter 19, 026222 (2007).