Honeycomb structures in magnetic fields
نویسندگان
چکیده
We consider the nearest-neighbour tight binding model of honeycomb lattice in magnetic fields and discover surprizing new analytical results that fully explain fractal spectra experimentally observed asymmetries density states molecular graphene. describe a Cantor spectrum for irrational flux through honeycomb, establish existence zero energy Dirac cones each rational with explicit estimates on cone angle. Our give substantially more refined description subtleties de Haas–van Alphen quantum Hall effects, provide first quantitative bounds transport coefficients tight-binding under disorder.
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ژورنال
عنوان ژورنال: Journal of Physics A
سال: 2021
ISSN: ['1751-8113', '1751-8121']
DOI: https://doi.org/10.1088/1751-8121/ac16c4