From flat bands to correlated states
1. The first magic angle
Flat bands therefore explain the observed superconductivity.
Bistritzer and MacDonald, PNAS 2011. Moire bands in twisted double-layer graphene.
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The continuum model predicts a vanishing Fermi velocity.
Transport measurements reveal correlated-insulator behaviour at half filling.
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Flat bands therefore explain the observed superconductivity.
Bistritzer and MacDonald, PNAS 2011. Moire bands in twisted double-layer graphene.
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1\section{The first magic angle}2 3The lowest bands narrow near the4first magic angle. The continuum5model captures the vanishing6Fermi velocityA. Fischer7\cite{bistritzer2011moire}.8 9101112 13\bibliography{sources}The lowest bands narrow near the first magic angle. The continuum model captures the vanishing Fermi velocity.1
1. Bistritzer and MacDonald, PNAS 2011. Moire bands in twisted double-layer graphene.
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References
Cao, Y., Fatemi, V., Fang, S., Watanabe, K., Taniguchi, T., Kaxiras, E., & Jarillo-Herrero, P. (2018). Unconventional superconductivity in magic-angle graphene superlattices. Nature, 556(7699), 43–50. https://doi.org/10.1038/nature26160
Cao, Yuan, et al. “Unconventional Superconductivity in Magic-Angle Graphene Superlattices.” Nature, vol. 556, no. 7699, Mar. 2018, pp. 43–50. Crossref, https://doi.org/10.1038/nature26160.
Cao, Yuan, Valla Fatemi, Shiang Fang, et al. 2018. “Unconventional Superconductivity in Magic-Angle Graphene Superlattices.” Nature 556 (7699): 43–50. https://doi.org/10.1038/nature26160.
[1]Y. Cao et al., “Unconventional superconductivity in magic-angle graphene superlattices,” Nature, vol. 556, no. 7699, pp. 43–50, Mar. 2018, doi: 10.1038/nature26160.
1.Cao Y, Fatemi V, Fang S, Watanabe K, Taniguchi T, Kaxiras E, et al. Unconventional superconductivity in magic-angle graphene superlattices. Nature. 2018 Mar 5;556(7699):43–50. doi:10.1038/nature26160
1.Cao, Y. et al. Unconventional superconductivity in magic-angle graphene superlattices. Nature 556, 43–50 (2018).
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How does deep learning represent data?
LeCun, Bengio & Hinton, Nature 2015
lecun2015deep“multiple processing layers to learn representations of data with multiple levels of abstraction”
Nature 521 · 2015 · Abstract
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cao2018unconventionalUnconventional superconductivity in magic-angle graphene superlattices
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andrei2021marvelsThe marvels of moire materials
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Moire bands in twisted double-layer graphene
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\subsection{Transport}Transport measurements reportinsulatingbehaviourcorrelated-insulator behaviourat half filling~\cite{cao2018correlated}.+5−2 words
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