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- W4293194821 abstract "We consider reduced-dimensionality models of honeycomb lattices in magnetic fields and report results about the spectrum, the density of states, self-similarity, and metal/insulator transitions under disorder. We perform a spectral analysis by which we discover a fractal Cantor spectrum for irrational magnetic flux through a honeycomb, prove the existence of zero energy Dirac cones for each rational flux, obtain an explicit expansion of the density of states near the conical points, and show the existence of mobility edges under Anderson-type disorder. Our results give a precise description of de Haas-van Alphen and Quantum Hall effects, and provide quantitative estimates on transport properties. In particular, our findings explain experimentally observed asymmetry phenomena by going beyond the perfect cone approximation." @default.
- W4293194821 created "2022-08-27" @default.
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- W4293194821 date "2020-08-14" @default.
- W4293194821 modified "2023-09-28" @default.
- W4293194821 title "Honeycomb structures in magnetic fields" @default.
- W4293194821 doi "https://doi.org/10.48550/arxiv.2008.06329" @default.
- W4293194821 hasPublicationYear "2020" @default.
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