期刊
MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY
卷 20, 期 2, 页码 -出版社
SPRINGER
DOI: 10.1007/s11040-016-9237-6
关键词
Ferromagnetic Heisenberg model; Quantum Heisenberg Ferromagnet; Magnon; Spin-wave theory; Interaction correction; Holstein-Primakoff transformation; Holstein-Primakov transformation; Perturbation theory of the Heisenberg model
资金
- ERC [CoMBoS-239694]
- ERC Advanced [321029]
- MIUR through the FIR [RBFR13WAET]
- VILLUM FONDEN via the QMATH Centre of Excellence [10059]
- Villum Fonden [00010059] Funding Source: researchfish
The Quantum Heisenberg Ferromagnet can be naturally reformulated in terms of interacting bosons (called spin waves or magnons) as an expansion in the inverse spin size. We calculate the first order interaction correction to the free energy, as an upper bound in the limit where the spin size S -> infinity and beta S is fixed (beta being the inverse temperature). Our result is valid in two and three spatial dimensions. We extrapolate our result to compare with Dyson's low-temperature expansion. While our first-order correction has the expected temperature dependence, in higher orders of the perturbation theory cancellations are necessary.
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