1/N expansion for two-dimensional quantum ferromagnets
arXiv:cond-mat/9801203 · doi:10.1103/PhysRevB.58.1464
Abstract
The magnetization of a two-dimensional ferromagnetic Heisenberg model, which represents a quantum Hall system at filling factor nu=1, is calculated employing a large N Schwinger boson approach. Corrections of order 1/N to the mean field (N=infinity) results for both the SU(N) and the O(N) generalization of the bosonized model are presented. The calculations are discussed in detail and the results are compared with quantum Monte Carlo simulations as well as with recent experiments. The SU(N) model describes both Monte Carlo and experimental data well at low temperatures, whereas the O(N) model is much better at moderate and high temperatures.
28 pages, 11 figures included
References in corpus (4)
- Collective Excitations, NMR, and Phase Transitions in Skyrme Crystals
- Hartree-Fock Theory of Skyrmions in Quantum Hall Ferromagnets
- Critical Behavior of Nuclear-Spin Diffusion in GaAs/AlGaAs Heterostructures near Landau Level Filling ν=1
- The 1/D Expansion for Classical Magnets: Low-Dimensional Models with Magnetic Field
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