Interaction Corrections to Spin-Wave Theory in the Large-S Limit of the Quantum Heisenberg Ferromagnet
Articolo
Data di Pubblicazione:
2017
Citazione:
Interaction Corrections to Spin-Wave Theory in the Large-S Limit of the Quantum Heisenberg Ferromagnet / N. Benedikter. - In: MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY. - ISSN 1385-0172. - 20:2(2017), pp. 5.1-5.21. [10.1007/s11040-016-9237-6]
Abstract:
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.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Ferromagnetic Heisenberg model; Quantum Heisenberg Ferromagnet; Magnon; Spin-wave theory; Interaction correction; Holstein-Primakoff transformation; Holstein-Primakov transformation; Perturbation theory of the Heisenberg model
Elenco autori:
N. Benedikter
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