Optical properties of the Hofstadter butterfly in the moiré superlattice

作者: Pilkyung Moon , Mikito Koshino

DOI: 10.1103/PHYSREVB.88.241412

关键词:

摘要: We investigate the optical absorption spectrum and selection rule for Hofstadter butterfly in twisted bilayer graphene under magnetic fields. demonstrate that exhibits a self-similar recursive pattern reflecting fractal nature of energy spectrum. find has nested structure as well, it is governed by conservation total angular momentum summed over different hierarchies.

参考文章(46)
J. Zak, Magnetic Translation Group Physical Review. ,vol. 134, pp. 1602- 1606 ,(1964) , 10.1103/PHYSREV.134.A1602
T Schlösser, K Ensslin, J. P Kotthaus, M Holland, Internal structure of a Landau band induced by a lateral superlattice: a glimpse of Hofstadter's butterfly EPL. ,vol. 33, pp. 683- 688 ,(1996) , 10.1209/EPL/I1996-00399-6
C. Albrecht, J. H. Smet, K. von Klitzing, D. Weiss, V. Umansky, H. Schweizer, Evidence of Hofstadter's Fractal Energy Spectrum in the Quantized Hall Conductance. Physical Review Letters. ,vol. 86, pp. 147- 150 ,(2001) , 10.1103/PHYSREVLETT.86.147
M. C. Geisler, J. H. Smet, V. Umansky, K. von Klitzing, B. Naundorf, R. Ketzmerick, H. Schweizer, Detection of a Landau band-coupling-induced rearrangement of the Hofstadter butterfly. Physical Review Letters. ,vol. 92, pp. 256801- ,(2004) , 10.1103/PHYSREVLETT.92.256801
R. Bistritzer, A. H. MacDonald, Moiré butterflies in twisted bilayer graphene Physical Review B. ,vol. 84, pp. 035440- ,(2011) , 10.1103/PHYSREVB.84.035440
Pilkyung Moon, Mikito Koshino, Energy spectrum and quantum Hall effect in twisted bilayer graphene Physical Review B. ,vol. 85, pp. 195458- ,(2012) , 10.1103/PHYSREVB.85.195458
Z. F. Wang, Feng Liu, M. Y. Chou, Fractal Landau-level spectra in twisted bilayer graphene. Nano Letters. ,vol. 12, pp. 3833- 3838 ,(2012) , 10.1021/NL301794T
J. M. B. Lopes dos Santos, N. M. R. Peres, A. H. Castro Neto, Graphene bilayer with a twist: electronic structure. Physical Review Letters. ,vol. 99, pp. 256802- 256802 ,(2007) , 10.1103/PHYSREVLETT.99.256802