Pith. sign in

REVIEW 1 cited by

Fine structure of flat bands in a chiral model of magic angles

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2208.01628 v2 pith:MYXIN3XO submitted 2022-08-02 math-ph cond-mat.mtrl-scicond-mat.str-elmath.MPmath.SPquant-ph

Simon Becker , Tristan Humbert , Maciej Zworski This is my paper · ORCID
classification math-phcond-mat.mtrl-scicond-mat.str-elmath.MPmath.SPquant-ph
keywords flatblochanglesbandbandschiraleigenfunctionsmagic
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

We analyze symmetries of Bloch eigenfunctions at magic angles for the Tarnopolsky--Kruchkov--Vishwanath chiral model of the twisted bilayer graphene (TBG) following the framework introduced by Becker--Embree--Wittsten--Zworski. We show that vanishing of the first Bloch eigenvalue away from the Dirac points implies its vanishing at all momenta, that is the existence of a flat band. We also show how the multiplicity of the flat band is related to the nodal set of the Bloch eigenfunctions. We conclude with two numerical observations about the structure of flat bands.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Tunable Multiband Geometry and Fractional Phases in Higher Vortexable Systems

    cond-mat.str-el 2026-08 conditional novelty 7.0 of 10

    Retaining both degenerate flat bands in higher vortexable moiré systems reveals a geometry-tuned cascade of Abelian and non-Abelian fractional phases at zero magnetic field.

Pith tools