Fractional Quantum Hall Wedding Cakes
Quantum Gases
2025-10-20 v1 Mesoscale and Nanoscale Physics
Strongly Correlated Electrons
Abstract
This work investigates the coexistence of distinct topologically ordered phases within a single setup. We demonstrate this concept through tensor network simulations of the Hofstadter-Bose-Hubbard model under a spatially modulated chemical potential. Focusing on cylindrical geometries, we realize regions exhibiting the Laughlin-1/2 phase and its particle-hole conjugate, and confirm their topological character via the local St\v{r}eda's response and Laughlin's flux insertion protocol. Our approach offers a new pathway for experimentally and numerically charting entire phase diagrams within a single system, possibly eliminating the need for independent parameter scans.
Cite
@article{arxiv.2510.15472,
title = {Fractional Quantum Hall Wedding Cakes},
author = {Chloé Van Bastelaere and Felix A. Palm and Botao Wang and Nathan Goldman and Laurens Vanderstraeten},
journal= {arXiv preprint arXiv:2510.15472},
year = {2025}
}
Comments
8 pages, 5 figures