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The even-periodic spin-one Haldane gap

Evidence for a gap in finite samples or a different spin-chain Hamiltonian does not establish a length-uniform gap for the pure bilinear spin-one model.

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Understanding the problem

Read the background

Evidence for a gap in finite samples or a different spin-chain Hamiltonian does not establish a length-uniform gap for the pure bilinear spin-one model.

The entry covers even periodic rings and the stated pure Hamiltonian. Different boundaries, odd lengths, and perturbed models require separate statements.

Why it matters

If correct, establishes the stated uniform-gap formulation for the pure even-periodic spin-one chain.

What counts as progress

A sourced resolution or substantial advance on the precise target, with hypotheses, prior context, and verification evidence stated separately.

What to watch for

  • Assess the precise statement and assumptions before comparing results.
  • The entry covers even periodic rings and the stated pure Hamiltonian. Different boundaries, odd lengths, and perturbed models require separate statements.
  • Track independent assessments, dependencies, corrections, and withdrawals separately from importance.

Background review: 2026-10-11. Selected sources:

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