JournalsjstVol. 14, No. 3pp. 1063–1107

Mathematical results on the chiral models of twisted bilayer graphene (with an appendix by Mengxuan Yang and Zhongkai Tao)

  • Maciej Zworski

    University of California, Berkeley, Berkeley, USA
Mathematical results on the chiral models of twisted bilayer graphene (with an appendix by Mengxuan Yang and Zhongkai Tao) cover
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Abstract

The study of twisted bilayer graphene (TBG) is a hot topic in condensed matter physics with special focus on magic angles of twisting at which TBG acquires unusual properties. Mathematically, topologically non-trivial flat bands appear at those special angles. The chiral model of TBG pioneered by Tarnopolsky, Kruchkov, and Vishwanath (2019) has particularly nice mathematical properties and we survey, and in some cases, clarify, recent rigorous results which exploit them.

Cite this article

Maciej Zworski, Mathematical results on the chiral models of twisted bilayer graphene (with an appendix by Mengxuan Yang and Zhongkai Tao). J. Spectr. Theory 14 (2024), no. 3, pp. 1063–1107

DOI 10.4171/JST/521