Flat-band projected versus fully atomistic twisted bilayer graphene

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Hauptverfasser: Sánchez, Miguel Sánchez, Stauber, Tobias
Format: Preprint
Veröffentlicht: 2025
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author Sánchez, Miguel Sánchez
Stauber, Tobias
author_facet Sánchez, Miguel Sánchez
Stauber, Tobias
contents We benchmark the recently proposed projection method [Phys. Rev. B 111, 205133 (2025)] for magic-angle twisted bilayer graphene (MATBG) across various symmetry-breaking phases at charge neutrality. The flat-band projected solutions agree well with the full tight-binding, with band structures and total energies differing by only a few meV. The projection to the flat bands is justified, owing to the increased gap to the remote bands in the normal state. Moreover, we employ a novel set of order parameters that allow us to visualize the wave functions locally in real space and quantify the breaking of various symmetries in the correlated phases. These order parameters are suitable for characterizing MATBG and generic honeycomb systems.
format Preprint
id arxiv_https___arxiv_org_abs_2507_20675
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Flat-band projected versus fully atomistic twisted bilayer graphene
Sánchez, Miguel Sánchez
Stauber, Tobias
Mesoscale and Nanoscale Physics
Strongly Correlated Electrons
We benchmark the recently proposed projection method [Phys. Rev. B 111, 205133 (2025)] for magic-angle twisted bilayer graphene (MATBG) across various symmetry-breaking phases at charge neutrality. The flat-band projected solutions agree well with the full tight-binding, with band structures and total energies differing by only a few meV. The projection to the flat bands is justified, owing to the increased gap to the remote bands in the normal state. Moreover, we employ a novel set of order parameters that allow us to visualize the wave functions locally in real space and quantify the breaking of various symmetries in the correlated phases. These order parameters are suitable for characterizing MATBG and generic honeycomb systems.
title Flat-band projected versus fully atomistic twisted bilayer graphene
topic Mesoscale and Nanoscale Physics
Strongly Correlated Electrons
url https://arxiv.org/abs/2507.20675