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Optical properties of the Hofstadter butterfly in the Moiré superlattice

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.

preprint2014arXivOpen access
Pilkyung MoonMikito Koshino
cond-mat.mes-hall
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Open access2 authors1 topic
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Pilkyung MoonMikito Koshino

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