Moiré butterflies in twisted bilayer graphene

R. Bistritzer*, A. H. MacDonald

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


The Hofstadter butterfly spectral patterns of lattice electrons in an external magnetic field yield some of the most beguiling images in physics. Here we explore the magnetoelectronic spectra of systems with moiré spatial patterns, concentrating on the case of twisted bilayer graphene. Because long-period spatial patterns are accurately formed at small twist angles, fractal butterfly spectra and associated magnetotransport and magnetomechanical anomalies emerge at accessible magnetic field strengths.

Original languageEnglish
Article number035440
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number3
StatePublished - 11 Jul 2011
Externally publishedYes


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