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Mathematics of magic angles in a model of twisted bilayer graphene
University of Cambridge.
Virginia Tech.
University of Borås, Faculty of Textiles, Engineering and Business.ORCID iD: 0000-0002-0905-6188
University of California at Berkeley.
2022 (English)In: Probability and Mathematical Physics, ISSN 2690-0998, Vol. 3, no 1, p. 69-103Article in journal (Refereed) Published
Abstract [en]

We provide a mathematical account of the recent letter by Tarnopolsky, Kruchkov and Vishwanath (Phys. Rev. Lett.122:10 (2019), art. id. 106405). The new contributions are a spectral characterization of magic angles, its accurate numerical implementation and an exponential estimate on the squeezing of all bands as the angle decreases. Pseudospectral phenomena due to the nonhermitian nature of operators appearing in the model considered in the letter of Tarnopolsky et al. play a crucial role in our analysis.

Place, publisher, year, edition, pages
2022. Vol. 3, no 1, p. 69-103
Keywords [en]
spectral theory, semiclassical analysis, magic angles, condensed matter physics, quantum mechanics
National Category
Mathematics
Identifiers
URN: urn:nbn:se:hb:diva-28991DOI: 10.2140/pmp.2022.3.69Scopus ID: 2-s2.0-85132149413OAI: oai:DiVA.org:hb-28991DiVA, id: diva2:1714481
Available from: 2022-11-29 Created: 2022-11-29 Last updated: 2024-10-01Bibliographically approved

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Wittsten, Jens

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