Gapless topological Peierls-like instabilities in more than one dimension

A periodic lattice distortion that reduces the translational symmetry folds electron bands into a reduced Brillouin zone, leading to band mixing and a tendency to gap formation, as in the Peierls transition in one-dimensional systems. However, in higher dimensions, the resulting phase can present topological obstructions preventing a complete gap opening. We discuss two different mechanisms for such obstructions: emergent Weyl nodes and symmetry protected band crossings. Based on density-functional calculations, we show these mechanisms are at play in trigonal ${\mathrm{PtBi}}_{2}$.

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Publication Details

Journal
Physical review. B./Physical review. B
Published
2025-11-20
DOI
https://doi.org/10.1103/x6zl-t5hs
Citations
1
Primary Topic
Topological Materials and Phenomena
Type
article
Field-Weighted Citation Impact
1.25
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article

Gapless topological Peierls-like instabilities in more than one dimension

Pablo S. Cornaglia, Jorge I. Facio, Santiago Palumbo
1 citations
Physical review. B./Physical review. B
Topological Materials and Phenomena
1.25
article

Gapless topological Peierls-like instabilities in more than one dimension

Pablo S. Cornaglia, Jorge I. Facio, Santiago Palumbo
article en
1 citations

Abstract

A periodic lattice distortion that reduces the translational symmetry folds electron bands into a reduced Brillouin zone, leading to band mixing and a tendency to gap formation, as in the Peierls transition in one-dimensional systems. However, in higher dimensions, the resulting phase can present topological obstructions preventing a complete gap opening. We discuss two different mechanisms for such obstructions: emergent Weyl nodes and symmetry protected band crossings. Based on density-functional calculations, we show these mechanisms are at play in trigonal ${\mathrm{PtBi}}_{2}$.

Physical review. B./Physical review. BVol. 112(20)
Consejo Nacional de Investigaciones Científicas y Técnicas (AR), Universidad Nacional de Cuyo (AR), Balseiro Institute (AR), Bariloche Atomic Centre (AR), Institut Català de Nanociència i Nanotecnologia (ES), Institut de Nanociència i Nanotecnologia de la Universitat de Barcelona
Openalex Percentile: Top 16%
Topological Materials and Phenomena
1.25
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