Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 271-01. Bloch's Law for Finite-Range Heisenberg Ferromagnets in Three Dimensions
Manuscript map · lines 7895–7904
OpenAI@2026-10-07#rem:oai-p-271-01
Authors: OpenAI. Family 271.
Title: Bloch's Law for Finite-Range Heisenberg Ferromagnets in Three Dimensions.
Abstract: We prove Bloch's T3/2 law for the spontaneous magnetization of three-dimensional quantum Heisenberg ferromagnets at every fixed positive quantum spin. The result holds for every nonnegative symmetric finite-range interaction whose support generates ℤ3, including spatially anisotropic couplings. The leading magnetization deficit has the exact coefficient determined by the determinant of the quadratic one-magnon dispersion. The thermodynamic limit is taken before the right field derivative at zero, and the low-temperature limit is taken last.
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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