Uniform Laughlin gap and stability under bounded scalar disorder

Formal proof listed 2 papers September 24, 2026
What the paper claims, in its own words

Proves the fermionic Laughlin spectral-gap conjecture for the full V1 interaction at filling 1/3 on the round sphere. The unique ground state remains uniformly gapped under sufficiently weak bounded real scalar one-body potentials projected to the lowest Landau level. Both the gap and disorder threshold are uniform over all sufficiently large particle numbers and all normalized potential profiles.

The plain-language explainer for this entry is still coming.

The original papers (2)