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Main Authors: Hu, Haoyu, Shao, Yuelin, Crippa, Lorenzo, Călugăru, Dumitru, Sangiovanni, Giorgio, Wehling, Tim, Glazman, Leonid I., Bernevig, B. Andrei
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2604.14303
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author Hu, Haoyu
Shao, Yuelin
Crippa, Lorenzo
Călugăru, Dumitru
Sangiovanni, Giorgio
Wehling, Tim
Glazman, Leonid I.
Bernevig, B. Andrei
author_facet Hu, Haoyu
Shao, Yuelin
Crippa, Lorenzo
Călugăru, Dumitru
Sangiovanni, Giorgio
Wehling, Tim
Glazman, Leonid I.
Bernevig, B. Andrei
contents Twisted bilayer graphene near integer fillings hosts correlated single-particle excitations whose dispersion and linewidth are increasingly accessible experimentally. We study these excitations using the topological heavy-fermion model, which captures both strong correlations and band topology of twisted bilayer graphene. In the decoupled limit, where both the single-particle fc hybridization and the Hund coupling between f and c electrons are absent, the model admits exact solutions in which free Dirac fermions coexist with interacting f electrons that form zero-width Hubbard bands. By treating the fc hybridization and Hund coupling perturbatively around this solvable limit, we obtain analytical results for the single-particle self-energy. From the resulting self-energy, we derive explicit expressions for both dispersion renormalization and scattering rates of both Hubbard-band excitations and low-energy Dirac modes, thereby establishing an analytical framework for understanding correlated excitations in twisted bilayer graphene. We analyze the scattering of the two kinds, Gamma3 and Gamma1,2, of Dirac electrons and find that they arise from different mechanisms. We also briefly investigate the effect of strain. Finally, we compare these analytical expressions with DMFT results for the same model.
format Preprint
id arxiv_https___arxiv_org_abs_2604_14303
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Twisted Bilayer Graphene Lifetimes At Integer Fillings: An Analytic Result
Hu, Haoyu
Shao, Yuelin
Crippa, Lorenzo
Călugăru, Dumitru
Sangiovanni, Giorgio
Wehling, Tim
Glazman, Leonid I.
Bernevig, B. Andrei
Strongly Correlated Electrons
Twisted bilayer graphene near integer fillings hosts correlated single-particle excitations whose dispersion and linewidth are increasingly accessible experimentally. We study these excitations using the topological heavy-fermion model, which captures both strong correlations and band topology of twisted bilayer graphene. In the decoupled limit, where both the single-particle fc hybridization and the Hund coupling between f and c electrons are absent, the model admits exact solutions in which free Dirac fermions coexist with interacting f electrons that form zero-width Hubbard bands. By treating the fc hybridization and Hund coupling perturbatively around this solvable limit, we obtain analytical results for the single-particle self-energy. From the resulting self-energy, we derive explicit expressions for both dispersion renormalization and scattering rates of both Hubbard-band excitations and low-energy Dirac modes, thereby establishing an analytical framework for understanding correlated excitations in twisted bilayer graphene. We analyze the scattering of the two kinds, Gamma3 and Gamma1,2, of Dirac electrons and find that they arise from different mechanisms. We also briefly investigate the effect of strain. Finally, we compare these analytical expressions with DMFT results for the same model.
title Twisted Bilayer Graphene Lifetimes At Integer Fillings: An Analytic Result
topic Strongly Correlated Electrons
url https://arxiv.org/abs/2604.14303