Hofstadter’s butterfly and the fractal quantum Hall effect in moiré superlattices

Abstract

Electrons moving through a spatially periodic lattice potential develop a quantized energy spectrum consisting of discrete Bloch bands. In two dimensions, electrons moving through a magnetic field also develop a quantized energy spectrum, consisting of highly degenerate Landau energy levels. When subject to both a magnetic field and a periodic electrostatic… (More)
DOI: 10.1038/nature12186

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