Mathematical Structure of Magnons in Quantum Ferromagnets
T. Michoel, A. Verbeure
TL;DR
This paper rigorously derives the mathematical framework for magnons as elementary excitations in quantum ferromagnets, emphasizing their quantum nature and dependence on magnetization size.
Contribution
It provides a simple, transparent derivation of magnon structure as fluctuation operators in the infinite spin limit for Heisenberg ferromagnets.
Findings
Magnons are characterized as fluctuation operators in the infinite spin limit.
The quantum nature of magnons depends on the magnetization size.
The derivation applies to a broad class of Heisenberg ferromagnets.
Abstract
We provide the mathematical structure and a simple, transparent and rigorous derivation of the magnons as elementary quasi-particle excitations at low temperatures and in the infinite spin limit for a large class of Heisenberg ferromagnets. The magnon canonical variables are obtained as fluctuation operators in the infinite spin limit. Their quantum character is governed by the size of the magnetization.
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