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Weak ferromagnetism and spiral spin structures in honeycomb hubbard planes

Within the Hartree Fock- RPA analysis, we derive the spin wave spectrum for the weak ferromagnetic phase of the Hubbard model on the honeycomb lattice. Assuming a uniform magnetization, the polar (optical) and acoustic branches of the spin wave excitations are determined. The bipartite lattice geometry produces a q- dependent phase difference between the spin wave amplitudes on the two sub-lattices. We also fin...