Geometry-Controlled Chern transfer and Flat Band Reconstruction in distorted kagome lattices
Abstract
Flat band formation and nontrivial topology are central manifestations of kagome electronic structure, yet they are commonly discussed in idealized lattice geometries. In distorted kagome materials, structural deformation reorganizes electronic propagation pathways, but a microscopic understanding of how such distortions govern flat band dispersion and band topology is still lacking. Using a distorted kagome tight-binding model with rotated angle dependent long-range hopping and intrinsic spin-orbit coupling, we show that distortion reconstructs both the dispersion and topology of the kagome band manifold. The flat band descendant develops distinct bandwidth regimes associated with a redistribution of its extrema in momentum space. Simultaneously, symmetry-related band inversions generate quantized Chern number transfer whose parity is fixed by the multiplicity of the touching points, thereby determining the gap-resolved Z2 topology. The accompanying Berry curvature evolution produces characteristic anomalous Hall and Nernst responses. These results identify geometric deformation as a common microscopic origin of flat band and topological reconstruction in kagome systems.
Related
- Modelling friction and heat transfer in turbulent forced convection over porous lattices
- Spatially Resolved Reconstruction of Ising Couplings in Tunable Colloidal Artificial Spin Lattices
- Polarization-controlled Floquet engineering in twisted photonic lattices
- Track reconstruction with ACTAR TPC: a transfer-reaction use case
- The Geometry of Alliances: Vote Transfer Modelling in French Two-Round Elections
BibTeX
@misc{zhu2026geometrycontrolled,
title = {{Geometry-Controlled Chern transfer and Flat Band Reconstruction in distorted kagome lattices}},
author = {Yu Zhu and Claudia Felser and Xiaolong Feng},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.37404},
eprint = {2609.37404},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.37404},
}
RIS
TY - UNPB
TI - Geometry-Controlled Chern transfer and Flat Band Reconstruction in distorted kagome lattices
AU - Yu Zhu
AU - Claudia Felser
AU - Xiaolong Feng
PY - 2026
DA - 2026/09/29
PB - arXiv
DO - 10.48550/arxiv.2609.37404
UR - https://arxiv.org/abs/2609.37404
AB - Flat band formation and nontrivial topology are central manifestations of kagome electronic structure, yet they are commonly discussed in idealized lattice geometries. In distorted kagome materials, structural deformation reorganizes electronic propagation pathways, but a microscopic understanding of how such distortions govern flat band dispersion and band topology is still lacking. Using a distorted kagome tight-binding model with rotated angle dependent long-range hopping and intrinsic spin-orbit coupling, we show that distortion reconstructs both the dispersion and topology of the kagome band manifold. The flat band descendant develops distinct bandwidth regimes associated with a redistribution of its extrema in momentum space. Simultaneously, symmetry-related band inversions generate quantized Chern number transfer whose parity is fixed by the multiplicity of the touching points, thereby determining the gap-resolved Z2 topology. The accompanying Berry curvature evolution produces characteristic anomalous Hall and Nernst responses. These results identify geometric deformation as a common microscopic origin of flat band and topological reconstruction in kagome systems.
ER -