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A boundary-field gap for the spin-one Heisenberg chain

Source: github.com/openai/math/tree/main/preprints/A-boundary-field…

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OpenAI Mathopenai-math/A-boundary-field-gap-for-the-spin-one-Heisenberg-chainSep 24, 2026math.MPAI-generatedscore 0 · 🔥 1 post

We prove a uniform spectral gap for odd open spin-one antiferromagnetic Heisenberg chains with the same fixed magnetic field at both endpoints. The field $h=3/5$ gives a gap greater than $\log(10)/392$ on every chain of $2L+1$ sites with L ≥ 960. Tasaki's index theorem then gives index −1 for every subsequential local limit of these boundary-selected ground states.

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