Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 268-02. A boundary-field gap for the spin-one Heisenberg chain
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OpenAI@2026-10-07#rem:oai-p-268-02
Authors: OpenAI. Family 268.
Title: A boundary-field gap for the spin-one Heisenberg chain.
Abstract: 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.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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