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.

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Publication Details

Journal
PubMed
Published
2025-11-21
DOI
https://doi.org/10.1103/8d4z-dy82
Primary Topic
Topological Materials and Phenomena
Type
article
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article

Orbital Description of Landau Levels.

Huan Wang, Zhaochen Liu, Jing Wang, Rui Shi
PubMed
Topological Materials and Phenomena
article

Orbital Description of Landau Levels.

Huan Wang, Zhaochen Liu, Jing Wang, Rui Shi
article en

Abstract

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.

PubMedVol. 135(21)
Fudan University (CN), Hefei University (CN), State Key Laboratory of Surface Physics
Openalex Percentile: Top 72%
Topological Materials and Phenomena
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