Optical properties of the Hofstadter butterfly in the moiré superlattice

Pilkyung Moon, Mikito Koshino

Research output: Contribution to journalArticlepeer-review

25 Citations (Scopus)


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

Original languageEnglish
Article number241412
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number24
Publication statusPublished - 2013 Dec 30

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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