Supermoiré Reconstruction and Topological Mosaics in Twisted Trilayer WSe2 and MoTe2
Abstract
We investigate lattice relaxation and band structures of helical and alternating twisted trilayer WSe2 and MoTe2 using machine-learning force fields and large-scale ab initio calculations. Interference between the two bilayer moiré lattices generates a supermoiré lattice that, upon relaxation, reconstructs into a few dominant domain types with locally commensurate bilayer moiré lattices. Because the systems lack C2z symmetry, domains otherwise related by this symmetry become energetically and topologically distinct, unlike in twisted trilayer graphene. Band structure calculations show that the topmost valence bands originate from the K (K') valleys and carry domain-dependent valley Chern numbers. The resulting supermoiré lattice hosts a mosaic of topologically inequivalent domains, offering a platform for exploring correlated and topological physics.
Related
- Supermoiré Formation and Robust Topological Edge State in Helical Trilayer Graphene
- Tunable topological narrow bands in twisted bilayer-trilayer graphene
- Phase-sensitive signatures of time-reversal-symmetry-breaking superconductivity in magic-angle twisted trilayer graphene
- Adiabatic confinement and number-theoretic spectra of massless Dirac fermions in twisted trilayer graphene
- Assessing quantitative phase reliability in electron ptychography using a twisted trilayer WS2 thickness staircase
BibTeX
@misc{meng2026supermoiré,
title = {{Supermoiré Reconstruction and Topological Mosaics in Twisted Trilayer WSe$_2$ and MoTe$_2$}},
author = {Hai Meng and Yang Xu and Fengcheng Wu},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2608.30813},
eprint = {2608.30813},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.30813},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Supermoiré Reconstruction and Topological Mosaics in Twisted Trilayer WSe_2 and MoTe_2
AU - Hai Meng
AU - Yang Xu
AU - Fengcheng Wu
PY - 2026
DA - 2026/09/02
PB - arXiv
DO - 10.48550/arxiv.2608.30813
UR - https://arxiv.org/abs/2608.30813
AB - We investigate lattice relaxation and band structures of helical and alternating twisted trilayer WSe_2 and MoTe_2 using machine-learning force fields and large-scale ab initio calculations. Interference between the two bilayer moiré lattices generates a supermoiré lattice that, upon relaxation, reconstructs into a few dominant domain types with locally commensurate bilayer moiré lattices. Because the systems lack C_2z symmetry, domains otherwise related by this symmetry become energetically and topologically distinct, unlike in twisted trilayer graphene. Band structure calculations show that the topmost valence bands originate from the K (K') valleys and carry domain-dependent valley Chern numbers. The resulting supermoiré lattice hosts a mosaic of topologically inequivalent domains, offering a platform for exploring correlated and topological physics.
ER -