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PreprintarXiv licencearXiv

Trace formulas for TBG

Abstract

Becker et al. produced a striking trace formula for the sum of fourth powers of generalized magic angles, $ θ$, for the chiral model of twisted bilayer graphene (TBG) with the exact Bistritzer--MacDonald potential: $\sum θ^{4} = 8 π/ \sqrt 3 $. The purpose of this note is to generalize this formula to a larger class of potentials satisfying the symmetries of the model.

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BibTeX
@misc{zeng2026trace,
  title = {{Trace formulas for TBG}},
  author = {Henry Zeng},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.13080},
  eprint = {2609.13080},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.13080},
}
RIS
TY  - UNPB
TI  - Trace formulas for TBG
AU  - Henry Zeng
PY  - 2026
DA  - 2026/09/11
PB  - arXiv
DO  - 10.48550/arxiv.2609.13080
UR  - https://arxiv.org/abs/2609.13080
AB  - Becker et al. produced a striking trace formula for the sum of fourth powers of generalized magic angles, $ θ$, for the chiral model of twisted bilayer graphene (TBG) with the exact Bistritzer--MacDonald potential: $\sum θ^{4} = 8 π/ \sqrt 3 $. The purpose of this note is to generalize this formula to a larger class of potentials satisfying the symmetries of the model.
ER  -