Chiral limit of twisted trilayer graphene


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Date

2025-05

Publication Type

Journal Article

ETH Bibliography

yes

Citations

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Data

Abstract

We initiate the mathematical study of the Bistritzer-MacDonald Hamiltonian for twisted trilayer graphene in the chiral limit (and beyond). We develop a spectral theoretic approach to investigate the presence of flat bands under specific magic parameters. This allows us to derive trace formulae that show that the tunneling parameters that lead to flat bands are nowhere continuous as functions of the twisting angles.

Publication status

published

Editor

Book title

Journal / series

Volume

38 (5)

Pages / Article No.

55008

Publisher

IOP Publishing

Event

Edition / version

Methods

Software

Geographic location

Date collected

Date created

Subject

mathematical physics; quantum physics; condensed matter; spectral theory

Organisational unit

Notes

Funding

216019 - Magic Moire Materials Meet Mathematical Methods (SNF)

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