For every fixed positive half-integer spin and every nonnegative symmetric finite-range interaction generating ℤ³, the spontaneous magnetization deficit of the three-dimensional quantum Heisenberg ferromagnet is asymptotic to ζ(3/2)T^{3/2}/(8π^{3/2}√det D), where D is the positive quadratic one-magnon dispersion matrix.
For every fixed positive half-integer spin and every nonnegative symmetric finite-range interaction generating ℤ³, the spontaneous magnetization deficit of the three-dimensional quantum Heisenberg ferromagnet is asymptotic to ζ(3/2)T^{3/2}/(8π^{3/2}√det D), where D is the positive quadratic one-magnon dispersion matrix.
For every fixed positive half-integer spin and every nonnegative symmetric finite-range interaction generating ℤ³, the spontaneous magnetization deficit of the three-dimensional quantum Heisenberg ferromagnet is asymptotic to ζ(3/2)T^{3/2}/(8π^{3/2}√det D), where D is the positive quadratic one-magnon dispersion matrix.
If correct, rigorously identifies the leading low-temperature magnetization deficit, including spatially anisotropic couplings.
Does the three-dimensional finite-range quantum Heisenberg ferromagnet obey Bloch’s T^{3/2} law at fixed spin?
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OpenAI reports Bloch’s law for finite-range Heisenberg ferromagnets
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