Upper bound of one-magnon excitation and lower bound of effective mass for ferromagnetic spinor Bose and Fermi gases
arXiv:1503.03951 · doi:10.1103/PhysRevA.91.043624
Abstract
Using a variational method, we derive an exact upper bound for one-magnon excitation energy in ferromagnetic spinor gases, which limits the quantum corrections to the effective mass of a magnon to be positive. We also derive an upper bound for one-magnon excitation energy in lattice systems. The results hold for both Bose and Fermi systems in dimensions as long as the interaction is local and invariant under spin rotation.
arXiv comment7 pages
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