Fractional Quantum Hall Wedding Cakes

Chloé Van Bastelaere; Felix A. Palm; Botao Wang; Nathan Goldman; Laurens Vanderstraeten

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arXiv · 2510.15472

Fractional Quantum Hall Wedding Cakes

Chloé Van Bastelaere·Felix A. Palm·Botao Wang·Nathan Goldman·Laurens Vanderstraeten

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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.

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Chloé Van Bastelaere, Felix A. Palm, Botao Wang, Nathan Goldman, Laurens Vanderstraeten. 2025-10-17. Fractional Quantum Hall Wedding Cakes. https://arxiv.org/abs/2510.15472

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