In one-dimensional local Hamiltonians with m>1 stored patterns, domain wall formation is thermodynamically favourable at nonzero temperature.

{
  "doc": "sacco-2025-topological.md",
  "context": "No ordered phase exists in 1D windowed systems; generalizes Landau–Lifshitz result to arbitrary local Hamiltonians",
  "norm_label": "In one-dimensional local Hamiltonians with m>1 stored patterns, domain wall formation is thermodynamically favourable at nonzero temperature.",
  "graphify_id": "theorem_2",
  "source_file": "sacco-2025-topological.md",
  "imported_from": "/Users/antonborzov/Documents/Research.nosync/papers/extract_typed_out/sacco-2025-topological/graph.json",
  "extracted_type": "finding",
  "source_location": "Theorem 2, §III",
  "graphify_file_type": "finding"
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