Abstract
As discussed in Sect. 4.3, experimental measurements of the bilayer graphene Landau level structure with infrared absorption showed that tight-binding description for neutral bilayer is unable to describe all the important physics. Some theoretical explanations were suggested, based both on many-body effects and charging effects, but the issue has not yet been clarified. It would be therefore beneficial to have at one’s disposal another probe of the Landau level structure but with different selection rules. Then, electronic excitations between different pairs of levels would be measured. This could help gain more insight into the physics of the problem.
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Notes
- 1.
For further benefit, we treat \(\varvec{q}\) and \(\tilde{\varvec{q}}\) as two-dimensional and in the plane of the sample. The third, out-of-plane component, only becomes explicitly important in Eq. (5.3).
- 2.
In the integration over the electronic momentum \(\mathbf p \) we neglected the trigonal warping of the electronic dispersion caused by \(v_{3}\). As discussed in Sect. 2.3, it is only important for very low energies. The density of states, apart from the vicinity of the Lifshitz transition, remains almost unaffected (see Fig. 2.5).
References
E.A. Henriksen, Z. Jiang, L.-C. Tung, M.E. Schwartz, M. Takita, Y.-J. Wang, P. Kim, H.L. Stormer, Cyclotron resonance in bilayer graphene. Phys. Rev. Lett. 100, 087403 (2008)
D.S.L. Abergel, T. Chakraborty, Long-range Coulomb interaction in bilayer graphene. Phys. Rev. Lett. 102, 056807 (2009)
S.V. Kusminskiy, D.K. Campbell, A.H. Castro Neto, Electron-electron interactions in graphene bilayers. Europhys. Lett. 85, 58005 (2009)
K. Shizuya, Many-body corrections to cyclotron resonance in monolayer and bilayer graphene. Phys. Rev. B 81, 075407 (2010)
M. Mucha-Kruczyński, E. McCann, V.I. Fal’ko, Influence of interlayer asymmetry on magneto-spectroscopy of bilayer graphene. Solid State Commun. 149, 1111 (2009)
M. Mucha-Kruczyński, O. Kashuba, V.I. Fal’ko, Spectral features due to inter-Landau-level transitions in the Raman spectrum of bilayer graphene, Phys. Rev. B, 82, 045405 (2010)
G. Abstreiter, M. Cardona, A. Pinczuk, in Light Scattering by Free Carrier Excitations in Semiconductors, ed. by M. Cardona, G.Güntherodt. Light Scattering in Solids, vol IV (Springer, Heidelberg, 1984)
M.V. Klein, in Electronic Raman Scattering, ed. by M. Cardona. Light Scattering in Solids, vol I (Springer, Heidelberg, 1983)
P.A. Wolff, Thomson and Raman scattering by mobile electrons in crystals. Phys. Rev. Lett. 16, 225 (1966)
R.E. Slusher, C.K.N. Patel, P.A. Fleury, Inelastic light scattering from Landau-level electrons in semiconductors. Phys. Rev. Lett. 18, 77 (1967)
C.K.N. Patel, R.E. Slusher, Light scattering from electron plasmas in a magnetic field. Phys. Rev. Lett. 21, 1563 (1968)
O. Kashuba, V.I. Fal’ko, Signature of electronic excitations in the Raman spectrum of graphene, Phys. Rev. B 80, 241404(R) (2009)
D.S.L. Abergel, V.I. Fal’ko, Optical and magneto-optical far-infrared properties of bilayer graphene. Phys. Rev. B 75, 155430 (2007)
A.C. Ferrari, J.C. Meyer, V. Scardaci, C. Casiraghi, M. Lazzeri, F. Mauri, S. Piscanec, D. Jiang, K.S. Novoselov, S. Roth, A.K. Geim, Raman spectrum of graphene and graphene layers. Phys. Rev. Lett. 97, 187401 (2006)
A. Gupta, G. Chen, P. Joshi, S. Tadigadapa, P.C. Eklund, Raman scattering from high-frequency phonons in supported n-graphene layer films. Nano Lett. 6, 2667 (2006)
D. Graf, F. Molitor, K. Ensslin, C. Stampfer, A. Jungen, C. Hierold, L. Wirtz, Spatially resolved Raman spectroscopy of single- and few-layer graphene. Nano Lett. 7, 238 (2007)
L.M. Malard, J. Nilsson, D.C. Elias, J.C. Brant, F. Plentz, E.S. Alves, A.H. Castro Neto, M.A. Pimenta, Probing the electronic structure of bilayer graphene by Raman scattering, Phys. Rev. B 76, 201401(R) (2007)
J. Yan, E.A. Henriksen, P. Kim, A. Pinczuk, Observation of anomalous phonon softening in bilayer graphene. Phys. Rev. Lett. 101, 136804 (2008)
L.M. Malard, D.C. Elias, E.S. Alves, M.A. Pimenta, Observation of distinct electron-phonon couplings in gated bilayer graphene. Phys. Rev. Lett. 101, 257401 (2008)
A. Das, B. Chakraborty, S. Piscanec, S. Pisana, A.K. Sood, A.C. Ferrari, Phonon renormalization in doped bilayer graphene. Phys. Rev. B 79, 155417 (2009)
Z. Ni, L. Liu, Y. Wang, Z. Zheng, L.-J. Li, T. Yu, Z. Shen, G-band Raman double resonance in twisted bilayer graphene: evidence of band splitting and folding. Phys. Rev. B 80, 125404 (2009)
D.L. Mafra, L.M. Malard, S.K. Doorn, H. Htoon, J. Nilsson, A.H. Castro Neto, M.A. Pimenta, Observation of the Kohn anomaly near the K point of bilayer graphene, Phys. Rev. B 80, 241414(R) (2009)
M. Mucha-Kruczyński, D.S.L. Abergel, E. McCann, V.I. Fal’ko, On spectral properties of bilayer graphene: the effect of an SiC substrate and infrared magneto-spectroscopy. J. Phys. Condens. Matter 21, 344206 (2009)
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Mucha-Kruczynski, M. (2013). Electronic Raman Spectroscopy. In: Theory of Bilayer Graphene Spectroscopy. Springer Theses. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-30936-6_5
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