English

Topological Edge States Emerging from Twisted Moir\'e Bands

Mesoscale and Nanoscale Physics 2026-04-30 v2

Abstract

We study twisted bilayer WSe2_2 within a continuum moir\'e model and introduce a method for treating finite geometries directly in the continuum framework, overcoming limitations associated with momentum-space formulations and Wannier obstructions. By projecting a confinement potential onto bulk moir\'e eigenstates, we obtain a real-space description of edge physics without lattice models. Applying this approach to nanoribbons, we demonstrate chiral edge modes consistent with bulk Chern numbers and reveal their moir\'e-scale character. In the magic-angle regime, these states are strongly localized, exhibit layer-polarized counter-propagating modes, and are electrically tunable via a displacement field, enabling control of localization, hybridization, and topological transitions. Our results establish a general framework for boundary physics in topological moir\'e materials.

Keywords

Cite

@article{arxiv.2604.19929,
  title  = {Topological Edge States Emerging from Twisted Moir\'e Bands},
  author = {Yasser Saleem and Paweł Potasz and Anna Dyrdał and Björn Trauzettel and Ewelina M. Hankiewicz},
  journal= {arXiv preprint arXiv:2604.19929},
  year   = {2026}
}

Comments

11 pages, 6 figures

R2 v1 2026-07-01T12:29:16.289Z