Kekulé spiral order from strained topological heavy fermions

The ground state of twisted bilayer graphene across much of its phase diagram is now understood to be the incommensurate Kekul\'e spiral (IKS). Using parent-state wavefunctions in the strained topological heavy-fermion model, the authors demonstrate here that the energetic stability of this state can be understood from ${C}_{2}$\ensuremath{\mathcal{T}}-protected non-Abelian Dirac node braiding. This gives a topological interpretation to the energetic favorability of the IKS.

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Publication Details

Journal
Physical review. B./Physical review. B
Published
2025-08-14
DOI
https://doi.org/10.1103/rr5g-3js8
Citations
3
Primary Topic
Topological Materials and Phenomena
Type
article
Field-Weighted Citation Impact
3.74
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article

Kekulé spiral order from strained topological heavy fermions

Dumitru Călugăru, Haoyu Hu, Oskar Vafek, B. Andrei Bernevig et al.
3 citations
Physical review. B./Physical review. B
Topological Materials and Phenomena
3.74
article

Kekulé spiral order from strained topological heavy fermions

Dumitru Călugăru, Haoyu Hu, Oskar Vafek, B. Andrei Bernevig, Jonah Herzog-Arbeitman, Jian Kang, Jiabin Yu, Nicolas Regnault
article en
3 citations

Abstract

The ground state of twisted bilayer graphene across much of its phase diagram is now understood to be the incommensurate Kekul\'e spiral (IKS). Using parent-state wavefunctions in the strained topological heavy-fermion model, the authors demonstrate here that the energetic stability of this state can be understood from ${C}_{2}$\ensuremath{\mathcal{T}}-protected non-Abelian Dirac node braiding. This gives a topological interpretation to the energetic favorability of the IKS.

Physical review. B./Physical review. BVol. 112(12)
Florida State University (US), Princeton University (US), ShanghaiTech University (CN), University of Florida (US), University of Oxford (GB), National High Magnetic Field Laboratory (US), Flatiron Health (United States) (US), Flatiron Institute (US), Donostia International Physics Center (ES)
Openalex Percentile: Top 7%
Topological Materials and Phenomena
3.74
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Kekulé spiral order from strained topological heavy fermions — Dumitru Călugăru, Haoyu Hu, et al. · Physical review. B./Physical review. B (2025) | TGRS Research Map | TGRS