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Scalable platforms for Landau-level-like phenomena without magnetic fields

Identify and realize scalable, non-moiré materials whose lattice-induced quantum geometry (large ℓ_g and ω_g) reproduces Landau-level-like physics and stabilizes exotic orders—such as fractionalized topological phases and exciton condensates—without high magnetic fields, and demonstrate integration of such materials into quantum devices.

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Background

Moiré heterostructures emulate quantum Hall phenomena in zero magnetic field via lattice interference, but face scalability issues. The authors propose leveraging quantum-geometric scales (ℓ_g, ω_g) as cyclotron/magnetic-length analogs to design bulk materials that host similar orders without external fields.

A scalable realization would broaden device applications, enabling fractionalized phases and other Landau-level-inspired orders in practical platforms.

References

That said, many fundamental questions remain open, and the full implications of quantum geometry in solid state physics are in its infancy. The proof of concept has been done - can we now find scalable materials with exotic orders which can be incorporated in quantum devices?

— Quantum Geometry: Revisiting electronic scales in quantum matter (2504.07173 - Verma et al., 9 Apr 2025) in Discussion and Outlook, “Unifying Landau level and band phenomena” paragraph