Stabilizing and detecting electron fractionalization in the Hofstadter-Hubbard model
Abstract
Motivated by the recent progress in correlated Chern insulator physics in moiré systems, we investigate the half-filled triangular-lattice Hofstadter--Hubbard model and its electron fractionalization. Among various competing non-magnetic states, increasing the orbital flux stabilizes and broadens the U(1)2 chiral spin liquid phase in the Mott regime. In this exotic regime, the electron is fractionalized into gapped spinons and gapped chargons, whose effective bands are linked to the orbital flux. The convolution of the narrow spinon bands with the gapped chargon excitations produces rich and discernible structures in the electron spectral function and the density of states. These results not only identify the orbital flux as a control parameter for the detailed patterns of electron fractionalization and the nature of the Mott transition, but also provide the key spectral characteristics for the angle-resolved photoemission and scanning tunneling studies of the relevant systems, linking the free-particle band topology to intrinsic topological order in the correlated regime.
Related
- Topological Criticality with Charge-3e Fluctuations in the SU(3) Triangular-Lattice Hofstadter--Hubbard Model
- Hubbard-U-corrected electron-phonon interactions in strongly correlated materials via the finite-displacement method
- Higher-Winding Fractionalization
- Fractionalization-Induced Time-Reversal Symmetry Breaking at Continuous Superconducting Transitions in Low-Symmetry Kondo Lattices
- Fractionalization, emergent SU(N) symmetries, and fragmentation in layered quantum spin-orbital models
BibTeX
@misc{yang2026stabilizing,
title = {{Stabilizing and detecting electron fractionalization in the Hofstadter-Hubbard model}},
author = {Jiahao Yang and Zeyu Han and Gang v. Chen},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.29916},
eprint = {2610.29916},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.29916},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Stabilizing and detecting electron fractionalization in the Hofstadter-Hubbard model
AU - Jiahao Yang
AU - Zeyu Han
AU - Gang v. Chen
PY - 2026
DA - 2026/10/21
PB - arXiv
DO - 10.48550/arxiv.2610.29916
UR - https://arxiv.org/abs/2610.29916
AB - Motivated by the recent progress in correlated Chern insulator physics in moiré systems, we investigate the half-filled triangular-lattice Hofstadter--Hubbard model and its electron fractionalization. Among various competing non-magnetic states, increasing the orbital flux stabilizes and broadens the U(1)_2 chiral spin liquid phase in the Mott regime. In this exotic regime, the electron is fractionalized into gapped spinons and gapped chargons, whose effective bands are linked to the orbital flux. The convolution of the narrow spinon bands with the gapped chargon excitations produces rich and discernible structures in the electron spectral function and the density of states. These results not only identify the orbital flux as a control parameter for the detailed patterns of electron fractionalization and the nature of the Mott transition, but also provide the key spectral characteristics for the angle-resolved photoemission and scanning tunneling studies of the relevant systems, linking the free-particle band topology to intrinsic topological order in the correlated regime.
ER -