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Optical absorption in twisted bilayer graphene
Open accessAbstract
We theoretically study the optical absorption property of twisted bilayer graphenes with various stacking geometries and demonstrate that the spectroscopic characteristics serve as a fingerprint to identify the rotation angle between two layers. We find that the absorption spectrum almost continuously evolves in changing the rotation angle, regardless of the lattice commensurability. The spectrum is characterized by series of peaks associated with the van Hove singularity, and the peak energies systematically shift with the rotation angle. We calculate the optical absorption in two frameworks: the tight-binding model and the effective continuum model based on the Dirac equation. For small rotation angles, less than ${10}^{\ensuremath{\circ}}$, the effective model well reproduces the low-energy band structure and the optical conductivity of the tight-binding model and, also, explains the optical selection rule analytically in terms of the symmetry of the effective Hamiltonian.
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Cites
Fine Structure Constant Defines Visual Transparency of Graphene
Nair, R. R., Blake, P., Grigorenko, A. N., Novoselov, K. S., Booth, T. J., Stauber, T., Peres, N. M. R., & Geim, A. K. (2008) · Science · doi:10.1126/science.1156965 · Cited by 9,084
Electronic Confinement and Coherence in Patterned Epitaxial Graphene
Berger, C., Song, Z., Li, X., Wu, X., Brown, N., Naud, C., Mayou, D., Li, T., Hass, J., Marchenkov, A. N., et al. (2006) · Science · doi:10.1126/science.1125925 · Cited by 5,535
Simplified LCAO Method for the Periodic Potential Problem
Slater, J. C., & Koster, G. F. (1954) · Physical Review · doi:10.1103/physrev.94.1498 · Cited by 5,189
Direct observation of a widely tunable bandgap in bilayer graphene
Zhang, Y., Tang, T.-T., Girit, C., Hao, Z., Martin, M. C., Zettl, A., Crommie, M. F., Shen, Y. R., & Wang, F. (2009) · Nature · doi:10.1038/nature08105 · Cited by 3,669
Moiré bands in twisted double-layer graphene
Bistritzer, R., & MacDonald, A. H. (2011) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1108174108 · Cited by 3,072
Condensed-Matter Simulation of a Three-Dimensional Anomaly
Semenoff, G. W. (1984) · Physical Review Letters · doi:10.1103/physrevlett.53.2449 · Cited by 1,832
Measurement of the Optical Conductivity of Graphene
Mak, K. F., Sfeir, M. Y., Wu, Y., Lui, C. H., Misewich, J. A., & Heinz, T. F. (2008) · Physical Review Letters · doi:10.1103/physrevlett.101.196405 · Cited by 1,722
Graphene Bilayer with a Twist: Electronic Structure
Lopes dos Santos, J. M. B., Peres, N. M. R., & Castro Neto, A. H. (2007) · Physical Review Letters · doi:10.1103/physrevlett.99.256802 · Cited by 1,531
Dirac charge dynamics in graphene by infrared spectroscopy
Li, Z. Q., Henriksen, E. A., Jiang, Z., Hao, Z., Martin, M. C., Kim, P., Stormer, H. L., & Basov, D. N. (2008) · Nature Physics · doi:10.1038/nphys989 · Cited by 1,277
Observation of Van Hove singularities in twisted graphene layers
Li, G., Luican, A., Lopes dos Santos, J. M. B., Castro Neto, A. H., Reina, A., Kong, J., & Andrei, E. Y. (2010) · Nature Physics · doi:10.1038/nphys1463 · Cited by 1,229
Colloquium: The transport properties of graphene: An introduction
Peres, N. M. R. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.2673 · Cited by 1,017
Optical far-infrared properties of a graphene monolayer and multilayer
Falkovsky, L. A., & Pershoguba, S. S. (2007) · Physical Review B · doi:10.1103/physrevb.76.153410 · Cited by 972
McClure, J. W. (1956) · Physical Review · doi:10.1103/physrev.104.666 · Cited by 909
Flat bands in slightly twisted bilayer graphene: Tight-binding calculations
Suárez Morell, E., Correa, J. D., Vargas, P., Pacheco, M., & Barticevic, Z. (2010) · Physical Review B · doi:10.1103/physrevb.82.121407 · Cited by 897
Theory of Electronic States and Transport in Carbon Nanotubes
Ando, T. (2005) · Journal of the Physical Society of Japan · doi:10.1143/jpsj.74.777 · Cited by 893
Why Multilayer Graphene on4H−SiC(0001¯)Behaves Like a Single Sheet of Graphene
Hass, J., Varchon, F., Millán-Otoya, J. E., Sprinkle, M., Sharma, N., de Heer, W. A., Berger, C., First, P. N., Magaud, L., & Conrad, E. H. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.125504 · Cited by 814
Localization of Dirac Electrons in Rotated Graphene Bilayers
Trambly de Laissardière, G., Mayou, D., & Magaud, L. (2010) · Nano Letters · doi:10.1021/nl902948m · Cited by 718
Self-consistent effective-mass theory for intralayer screening in graphite intercalation compounds
DiVincenzo, D. P., & Mele, E. J. (1984) · Physical Review B · doi:10.1103/physrevb.29.1685 · Cited by 682
Quantum Transport in Two-Dimensional Graphite System
Shon, N. H., & Ando, T. (1998) · Journal of the Physical Society of Japan · doi:10.1143/jpsj.67.2421 · Cited by 647
Single-Layer Behavior and Its Breakdown in Twisted Graphene Layers
Luican, A., Li, G., Reina, A., Kong, J., Nair, R. R., Novoselov, K. S., Geim, A. K., & Andrei, E. Y. (2011) · Physical Review Letters · doi:10.1103/physrevlett.106.126802 · Cited by 645
Continuum model of the twisted graphene bilayer
Lopes dos Santos, J. M. B., Peres, N. M. R., & Castro Neto, A. H. (2012) · Physical Review B · doi:10.1103/physrevb.86.155449 · Cited by 611
Unusual Microwave Response of Dirac Quasiparticles in Graphene
Gusynin, V. P., Sharapov, S. G., & Carbotte, J. P. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.256802 · Cited by 546
Transport of Dirac quasiparticles in graphene: Hall and optical conductivities
Gusynin, V. P., & Sharapov, S. G. (2006) · Physical Review B · doi:10.1103/physrevb.73.245411 · Cited by 515
Commensuration and interlayer coherence in twisted bilayer graphene
Mele, E. J. (2010) · Physical Review B · doi:10.1103/physrevb.81.161405 · Cited by 486
Electronic structure of turbostratic graphene
Shallcross, S., Sharma, S., Kandelaki, E., & Pankratov, O. A. (2010) · Physical Review B · doi:10.1103/physrevb.81.165105 · Cited by 480
First Direct Observation of a Nearly Ideal Graphene Band Structure
Sprinkle, M., Siegel, D., Hu, Y., Hicks, J., Tejeda, A., Taleb-Ibrahimi, A., Le Fèvre, P., Bertran, F., Vizzini, S., Enriquez, H., et al. (2009) · Physical Review Letters · doi:10.1103/physrevlett.103.226803 · Cited by 460
Dynamical Conductivity and Zero-Mode Anomaly in Honeycomb Lattices
Ando, T., Zheng, Y., & Suzuura, H. (2002) · Journal of the Physical Society of Japan · doi:10.1143/jpsj.71.1318 · Cited by 456
Energy spectrum and quantum Hall effect in twisted bilayer graphene
Moon, P., & Koshino, M. (2012) · Physical Review B · doi:10.1103/physrevb.85.195458 · Cited by 371
Self-citationOptical and magneto-optical far-infrared properties of bilayer graphene
Abergel, D. S. L., & Fal’ko, V. I. (2007) · Physical Review B · doi:10.1103/physrevb.75.155430 · Cited by 368
Kuzmenko, A. B., Crassee, I., van der Marel, D., Blake, P., & Novoselov, K. S. (2009) · Physical Review B · doi:10.1103/physrevb.80.165406 · Cited by 326
Latil, S., Meunier, V., & Henrard, L. (2007) · Physical Review B · doi:10.1103/physrevb.76.201402 · Cited by 324
Mak, K. F., Shan, J., & Heinz, T. F. (2010) · Physical Review Letters · doi:10.1103/physrevlett.104.176404 · Cited by 315
Determination of the electronic structure of bilayer graphene from infrared spectroscopy
Zhang, L. M., Li, Z. Q., Basov, D. N., Fogler, M. M., Hao, Z., & Martin, M. C. (2008) · Physical Review B · doi:10.1103/physrevb.78.235408 · Cited by 308
Growth of Bilayer Graphene on Insulating Substrates
Yan, Z., Peng, Z., Sun, Z., Yao, J., Zhu, Y., Liu, Z., Ajayan, P. M., & Tour, J. M. (2011) · ACS Nano · doi:10.1021/nn202829y · Cited by 301
Reduction of Fermi velocity in folded graphene observed by resonance Raman spectroscopy
Ni, Z., Wang, Y., Yu, T., You, Y., & Shen, Z. (2008) · Physical Review B · doi:10.1103/physrevb.77.235403 · Cited by 289
Band Structure Asymmetry of Bilayer Graphene Revealed by Infrared Spectroscopy
Li, Z. Q., Henriksen, E. A., Jiang, Z., Hao, Z., Martin, M. C., Kim, P., Stormer, H. L., & Basov, D. N. (2009) · Physical Review Letters · doi:10.1103/physrevlett.102.037403 · Cited by 262
Theory of Cyclotron Resonance Lineshape in a Two-Dimensional Electron System
Ando, T. (1975) · Journal of the Physical Society of Japan · doi:10.1143/jpsj.38.989 · Cited by 258
Quantum Interference at the Twist Boundary in Graphene
Shallcross, S., Sharma, S., & Pankratov, O. A. (2008) · Physical Review Letters · doi:10.1103/physrevlett.101.056803 · Cited by 251
The evolution of electronic structure in few-layer graphene revealed by optical spectroscopy
Mak, K. F., Sfeir, M. Y., Misewich, J. A., & Heinz, T. F. (2010) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1004595107 · Cited by 235
Magneto-optical properties of multilayer graphene
Koshino, M., & Ando, T. (2008) · Physical Review B · doi:10.1103/physrevb.77.115313 · Cited by 227
Self-citationEvidence for Interlayer Coupling and Moiré Periodic Potentials in Twisted Bilayer Graphene
Ohta, T., Robinson, J. T., Feibelman, P. J., Bostwick, A., Rotenberg, E., & Beechem, T. E. (2012) · Physical Review Letters · doi:10.1103/physrevlett.109.186807 · Cited by 213
Anomalous Absorption Line in the Magneto-Optical Response of Graphene
Gusynin, V. P., Sharapov, S. G., & Carbotte, J. P. (2007) · Physical Review Letters · doi:10.1103/physrevlett.98.157402 · Cited by 206
Cyclotron Resonance in Bilayer Graphene
Henriksen, E. A., Jiang, Z., Tung, L.-C., Schwartz, M. E., Takita, M., Wang, Y.-J., Kim, P., & Stormer, H. L. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.087403 · Cited by 192
Infrared spectroscopy of electronic bands in bilayer graphene
Kuzmenko, A. B., van Heumen, E., van der Marel, D., Lerch, P., Blake, P., Novoselov, K. S., & Geim, A. K. (2009) · Physical Review B · doi:10.1103/physrevb.79.115441 · Cited by 186
Hass, J., Feng, R., Millán-Otoya, J. E., Li, X., Sprinkle, M., First, P. N., de Heer, W. A., Conrad, E. H., & Berger, C. (2007) · Physical Review B · doi:10.1103/physrevb.75.214109 · Cited by 180
Xie, L., Wang, H., Jin, C., Wang, X., Jiao, L., Suenaga, K., & Dai, H. (2011) · Journal of the American Chemical Society · doi:10.1021/ja203860a · Cited by 177
Stacking-Dependent Optical Conductivity of Bilayer Graphene
Wang, Y., Ni, Z., Liu, L., Liu, Y., Cong, C., Yu, T., Wang, X., Shen, D., & Shen, Z. (2010) · ACS Nano · doi:10.1021/nn1004974 · Cited by 170
Structural analysis of multilayer graphene via atomic moiré interferometry
Miller, D. L., Kubista, K. D., Rutter, G. M., Ruan, M., de Heer, W. A., First, P. N., & Stroscio, J. A. (2010) · Physical Review B · doi:10.1103/physrevb.81.125427 · Cited by 165
G -band Raman double resonance in twisted bilayer graphene: Evidence of band splitting and folding
Ni, Z., Liu, L., Wang, Y., et al. (2009) · Physical Review B · doi:10.1103/physrevb.80.125404 · Cited by 134
Electronic states and quantum transport in double-wall carbon nanotubes
Uryu, S. (2004) · Physical Review B · doi:10.1103/physrevb.69.075402 · Cited by 98
Orlita, M., Faugeras, C., Schneider, J. M., Martinez, G., Maude, D. K., & Potemski, M. (2009) · Physical Review Letters · doi:10.1103/physrevlett.102.166401 · Cited by 98
Optical conductivity of twisted bilayer graphene
Tabert, C. J., & Nicol, E. J. (2013) · Physical Review B · doi:10.1103/physrevb.87.121402 · Cited by 95
Interlayer coupling in rotationally faulted multilayer graphenes
Melé, E. J. (2012) · Journal of Physics D Applied Physics · doi:10.1088/0022-3727/45/15/154004 · Cited by 90
Electronic structures and optical absorption of multilayer graphenes
Koshino, M., & Ando, T. (2009) · Solid State Communications · doi:10.1016/j.ssc.2009.02.052 · Cited by 85
Self-citationTerahertz Conductivity of Twisted Bilayer Graphene
Zou, X., Shang, J., Leaw, J. N., Luo, Z., Luo, L., La‐o‐vorakiat, C., Cheng, L., Cheong, S. A., Su, H., Zhu, J., et al. (2013) · Physical Review Letters · doi:10.1103/physrevlett.110.067401 · Cited by 85
Local sublattice-symmetry breaking in rotationally faulted multilayer graphene
Kindermann, M., & First, P. N. (2011) · Physical Review B · doi:10.1103/physrevb.83.045425 · Cited by 83
Stacking-dependent optical absorption in multilayer graphene
Koshino, M. (2013) · New Journal of Physics · doi:10.1088/1367-2630/15/1/015010 · Cited by 66
Self-citationConductance of Crossed Carbon Nanotubes
Nakanishi, T., & Ando, T. (2001) · Journal of the Physical Society of Japan · doi:10.1143/jpsj.70.1647 · Cited by 59
Scanning tunneling microscope observations of non-AB stacking of graphene on Ni films
Zhao, R., Zhang, Y., Gao, T., Gao, Y., Liu, N., Fu, L., & Liu, Z. (2011) · Nano Research · doi:10.1007/s12274-011-0127-8 · Cited by 41
Stacking-dependent optical spectra and many-electron effects in bilayer graphene
Chen, Z., & Wang, X. (2011) · Physical Review B · doi:10.1103/physrevb.83.081405 · Cited by 35
Ohta, T., Beechem, T. E., Robinson, J. T., & KELLOGG, G. L. (2012) · Physical Review B · doi:10.1103/physrevb.85.075415 · Cited by 34
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Self-citation
Metadata
- Authors
- Moon, P., & Koshino, M.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2013-05-02
- Volume
- 87
- Issue
- 20
- ISSN
- 1098-0121 (ISSN-L)
- 1550-235X
- OpenAlex
- W2025108991
- Cited by
- 493
- References
- 61
- FWCI
- 8.73
- Type
- journal article
- Language
- en
- Open access
- green
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