TL;DR
This paper investigates the fractal Hofstadter butterfly spectra in twisted bilayer graphene, revealing accessible magnetic field-induced anomalies due to moire patterns at small twist angles.
Contribution
It introduces the study of Hofstadter butterfly spectra in moire superlattices, specifically twisted bilayer graphene, highlighting the emergence of fractal spectra and related anomalies.
Findings
Fractal butterfly spectra appear at small twist angles.
Magneto-transport and mechanical anomalies are observed.
Spectral patterns are accessible at realistic magnetic fields.
Abstract
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 magneto-electronic spectra of systems with moire 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 magneto-transport and magneto-mechanical anomalies emerge at accessible magnetic field strengths.
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