Work

Benchmarking the effective many-body flat-band projected model of magic-angle bilayer graphene against the full tight-binding description

Year: 2026

Type: article

Abstract: 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.

Source: Physical review. B./Physical review. B

DOI: 10.1103/qlp6-hjf2

Authors: Miguel Sánchez Sánchez, Tobias Stauber

Institution: Instituto de Ciencia de Materiales de Madrid

Language: English

Topic: Graphene research and applications

Subfield: Materials Chemistry

Field: Materials Science

Domain: Physical Sciences

Open Access status: green

Funders: Ministerio de Ciencia, Innovación y Universidades, Consejo Superior de Investigaciones Científicas

Awards: G3470369743, G7056864293, G7598694338