Orbital Description of Landau Levels.
The pursuit of a lattice analog for Landau levels has been a central theme in condensed matter physics. Although the correspondence between Chern bands and the lowest Landau level has been widely studied, a lattice realization of the first Landau level remains elusive. Here, we construct a minimal lattice model that provides a concrete orbital description of both the lowest and first Landau levels. Using maximally localized Wannier functions with s, p_{-}, and p_{+} orbital character, we develop a three-orbital model in which the two lowest Chern bands are flat and each carries a Chern number C=1. The band topology arises from a sequence of ideal band inversions between Wannier states at the Γ and K points in momentum space, establishing an adiabatic connection between the atomic insulator limit and Landau level physics. Notably, many-body exact diagonalization reveals that the non-Abelian state can appear in the half-filled first Chern band. This construction can be further generalized to realize flat Chern bands analogous to higher Landau levels. Our results provide a new perspective on lattice analogs of Landau levels and may enable the exploration of fascinating topological phenomena at elevated temperatures.
Authors
- Huan Wang (ORCID: https://orcid.org/0000-0002-2675-8632)
- Zhaochen Liu (ORCID: https://orcid.org/0009-0006-1543-8197)
- Jing Wang (ORCID: https://orcid.org/0000-0002-4674-9485)
- Rui Shi
Institutions
- Fudan University (CN)
- Hefei University (CN)
- State Key Laboratory of Surface Physics
Publication Details
- Journal
- PubMed
- Published
- 2025-11-21
- DOI
- https://doi.org/10.1103/8d4z-dy82
- Primary Topic
- Topological Materials and Phenomena
- Type
- article
- Field-Weighted Citation Impact
- 0.00