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Quantum Simulation

Fractional Chern insulator edges: crystalline effects and optical measurements

arXiv
Authors: Yan-Qi Wang, Johannes Motruk, Andrey Grankin, Mohammad Hafezi

Year

2025

Paper ID

16792

Status

Preprint

Abstract Read

~2 min

Abstract Words

102

Citations

N/A

Abstract

Edge states of chiral topologically ordered phases are commonly described by chiral Luttinger liquids, effective theories that are exact only in the hydrodynamic limit. Motivated by recent bulk observations of fractional Chern insulators (FCIs) in two-dimensional materials and by synthetic realizations in ultracold atoms, we revisit this framework and quantify deviations from the hydrodynamic limit due to lattice effects. Using a combination of analytical arguments and numerical simulations, we disentangle universal from nonuniversal edge properties. We outline experimental probes in excitonic FCIs and in ultracold atom systems, and in particular propose time-resolved edge spectroscopy to directly access the predicted exponents and velocities.

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  • Edge states of chiral topologically ordered phases are commonly described by chiral Luttinger liquids, effective theories that are exact only in the hydrodynamic limit.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2511.17494 [2] arXiv https://arxiv.org/abs/2511.17494 [3] Publisher https://arxiv.org/abs/2511.17494

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