Low-Temperature Spin-Wave Approximation for the Heisenberg Ferromagnet

We study the low temperature thermodynamics of the quantum Heisenberg ferromagnet in three dimension for any value of the spin $S \geq 1/2$. We report on a rigorous proof of the validity of the spin-wave approximation for the excitation spectrum, at the level of the first non-trivial contribution to the free energy as the inverse temperature $β\to \infty$.

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