• Corpus ID: 119281455

# Low-Temperature Spin-Wave Approximation for the Heisenberg Ferromagnet

@article{Correggi2016LowTemperatureSA,
title={Low-Temperature Spin-Wave Approximation for the Heisenberg Ferromagnet},
author={Michele Correggi and Alessandro Giuliani and Robert Seiringer},
journal={arXiv: Mathematical Physics},
year={2016}
}
• Published 30 January 2016
• Physics, Mathematics
• arXiv: Mathematical Physics
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 $\beta \to \infty$.
1 Citations
Low-energy spectrum of Toeplitz operators
Berezin-Toeplitz operators allow to quantize functions, or symbols, on compact Kahler manifolds, and are defined using the Bergman (or Szeg\H{o}) kernel. We study the spectrum of Toeplitz operators