Optical properties of the Hofstadter butterfly in the Moiré superlattice

Abstract

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.

5 pages, 3 figures

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Cited by in corpus (21)

• Electronic properties of graphene hexagonal boron nitride moiré superlattice
• Interlayer interaction in general incommensurate atomic layers
• Quasicrystalline electronic states in 30${}^{\circ }$ rotated twisted bilayer graphene
• Moire superlattice effects in graphene/boron-nitride van der Waals heterostructures
• Nano-imaging photoresponse in a moiré unit cell
• Optical absorption of twisted bilayer graphene with interlayer potential asymmetry
• Graphene quantum dot on boron nitride: Dirac cone replica and Hofstadter butterfly
• Infrared absorption by graphene-hBN heterostructures
• Many-particle effects in the cyclotron resonance of encapsulated monolayer graphene
• Why the first magic-angle is different from others in twisted graphene bilayers: interlayer currents, kinetic and confinement energy and wavefunction localization
• Strain-induced modulation of Dirac cones and van Hove singularities in twisted graphene bilayer
• Optical Hall effect in strained graphene
• Magnetic Breakdown in Twisted Bilayer Graphene
• Chiral limits and effect of light on the Hofstadter butterfly in twisted bilayer graphene
• Magneto-optical response of graphene: probing substrate interactions
• Macroscopically degenerate localized zero-energy states of quasicrystalline bilayer systems in strong coupling limit
• Probing the bright exciton state in twisted bilayer graphene via resonant Raman scattering
• Atomistic theory of moiré Hofstadter's butterfly in magic-angle graphene
• Probing Layer Localization in Twisted Graphene Bilayers via Cyclotron Resonance
• Transport gap in vertical devices made of incommensurately misoriented graphene layers
• Faraday rotations, ellipticity and circular dichroism in the magneto-optical spectrum of moiré superlattices