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Crucial role of atomic corrugation on the flat bands and energy gaps of twisted bilayer graphene at the magic angle <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>θ</mml:mi><mml:mo>∼</mml:mo><mml:mn>1</mml:mn><mml:mo>.</mml:mo><mml:msup><mml:mn>08</mml:mn><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math>
The electronic properties of twisted bilayer graphene are being intensely investigated. The flat bands emerging at the first ``magic angle'' are responsible for anomalous insulating behavior at half-filling and superconductivity. Using state-of-the-art $a\phantom{\rule{0}{0ex}}b\phantom{\rule{0.333em}{0ex}}i\phantom{\rule{0}{0ex}}n\phantom{\rule{0}{0ex}}i\phantom{\rule{0}{0ex}}t\phantom{\rule{0}{0ex}}i\phantom{\rule{0}{0ex}}o$ calculations, it is shown that the energy gaps and band dispersion are captured correctly only when the …