Abstract
Using ab initio calculations we have studied the optical linear response of different configurations of twisted trilayer graphene systems. We have found that when one of the outer layers is rotated the system shows an angle-dependent optical spectrum as its twisted bilayer counterpart; however, in this case there are two absorption peaks located in the visible range of the spectrum and one more in the intermediate infrared range for large relative rotation angles. When two layers are rotated the spectrum exhibits only two absorption peaks in the visible range revealing information about the two relative rotation angles between the layers in the structure. All these absorption peaks in the visible range shift to the intermediate infrared range for small angles.





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A rotated unit cell around 14.5° contains more than 1600 atoms making unviable a DFT calculation. We have calculated instead the closest in angle and smallest commensurate unit cell
References
Kuzmenko AB, van Heumen E, Carbone F, van der Marel D (2008) Phys Rev Lett 100:117401
Nair RR, Blake P, Grigorenko AN, Novoselov KS, Booth TJ, Stauber T, Peres NMR, Geim AK (2008) Science 320(5881):1308
McCann E (2006) Phys Rev B 74:161403
Abergel DSL, Fal’ko Vladimir I (2007) Phys Rev B 75:155430
Reina A, Jia X, Ho J, Nezich D, Son H, Bulovic V, Dresselhaus Mildred S, Kong J (2009) Nano Lett 9(1):30
Lopesdos Santos JMB, Peres NMR, Castro Neto AH (2007) Phys Rev Lett 99:256802
Shallcross S, Sharma S, Pankratov OA (2008) Phys Rev Lett 101:056803
Shallcross S, Sharma S, Kandelaki E, Pankratov OA (2010) Phys Rev B 81:165105
Suárez Morell E, Correa JD, Vargas P, Pacheco M, Barticevic Z (2010) Phys Rev B 82(12):121407
Chen Z, Wang X-Q (2011) Phys Rev B 83:081405
Suárez Morell E, Vargas P, Chico L, Brey L (2011) Phys Rev B 84:195421
San-Jose P, González J, Guinea F (2012) Phys Rev Lett 108:216802
Bistritzer R, MacDonald Allan H (2011) PNAS 108:12233
Tramblyde Laissardière G, Mayou D, Magaud L (2010) Nano Lett 10(3):804
Tramblyde Laissardière G, Mayou D, Magaud L (2012) Phys Rev B 86:125413
Guohong L, Luican A, Lopesdos Santos JMB, Castro Neto AH, Reina A, Kong J, Andrei EY (2010) Nat Phys 6:109
Wang Y, Ni Z, Liu L, Liu Y, Cong C, Yu T, Wang X, Shen D, Shen Z (2010) ACS Nano 4(7):4074
Brihuega I, Mallet P, González-Herrero H, Tramblyde Laissardière G, Ugeda MM, Magaud L, Gómez-Rodríguez JM, Ynduráin F, Veuillen J-Y (2012) Phys Rev Lett 109:196802
Yan W, Liu M, Dou R-F, Meng L, Feng L, Chu Z-D, Zhang Y, Liu Z, Nie J-C, He L (2012) Phys Rev Lett 109:126801
Moon P, Koshino M (2013) Phys Rev B 87:205404
Koshino M, McCann E (2010) Phys Rev B 81:115315
Aoki M, Amawashi H (2007) Solid State Commun 142(3):123
Mak Kin F, Shan J, Heinz Tony F (2010) Phys Rev Lett 104:176404
Mikito K (2013) New J Phys 15(1):015010
Berger C, Zhimin S et al. (2004) J Phys Chem B 108(52):19912
Varchon F, Mallet P, Magaud L, Veuillen J-Y (2008) Phys Rev B 77:165415
Miller David L, Kubista Kevin D, Rutter Gregory M, Ruan M, de Heer Walt A, First Phillip N, Stroscio Joseph A (2010) Phys Rev B 81:125427
Campanera JM, Savini G, Suarez-Martinez I, Heggie MI (2007) Phys Rev B 75:235449
Soler José M, Artacho E, Gale Julian D, García A, Junquera J, Ordejón P, Sánchez-Portal D (2002) J Phys 14:2745
Dion M, Rydberg H, Schröder E, Langreth DC, Lundqvist BI (2004) Phys Rev Lett 92:246401
Chakarova-Käck Svetla D, Schröder E, Lundqvist Bengt I, Langreth David C (2006) Phys Rev Lett 96:146107
Ruiz-Tagle I, Orellana W (2010) Phys Rev B 82:115406
Correa JD, Orellana W (2012) Phys Rev B 86:125417
Suárez Morell E, Pacheco M, Chico L, Brey L (2013) Phys Rev B 87:125414
Sato K, Saito R, Cong C, Yu T, Dresselhaus Mildred S (2012) Phys Rev B 86:125414
Havener Robin W, Zhuang H, Brown L, Hennig Richard G, Park J (2012) Nano Lett 12(6):3162
Zarifi A, Garm Pedersen T (2009) Phys Rev B 80:195422
Correa JD, Rocha CG, Latg A, Pacheco M (2011) J Phys 23(6):065301
Latil S, Meunier V, Henrard L (2007) Phys Rev B 76:201402
Acknowledgements
E. S. M. acknowledges DGIP/USM for the internal Grant 111217 M P thanks FONDECYT Grant 1100672 and DGIP/USM internal Grant 111162. J. D. C thanks project Grid Colombia-UdeM.
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Correa, J.D., Pacheco, M. & Morell, E.S. Optical absorption spectrum of rotated trilayer graphene. J Mater Sci 49, 642–647 (2014). https://doi.org/10.1007/s10853-013-7744-4
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DOI: https://doi.org/10.1007/s10853-013-7744-4


