Exploration of spectrum of the energy operator of two-magnon system in the one-dimensional anisotropic Heisenberg ferromagnet with interaction of second neighbours
Abstract:
We investigate a physical system of two magnons in the one-dimensional anisotropic Heisenberg ferromagnet with the interaction up to two neighbours. We study the spectrum and bound states of the Hamiltonian of the two-magnon system. It is established that in some cases additional bound states can appear or disappear in comparison with the isotropic case.