The Magnon Lifetime of One Dimensional Insulated Ferromagnetic Chain at T→0 K

A magnon-phonon interaction model is built in one dimensional insulated ferromagnetic chain.By using Matsubara Green function theory,we have studied the magnon damping(-Im∑~(*(1))(k)),and calculated the magnon damping-Im∑~(*(1))(k)curve in the Brillouin Zone for different parameters in the system.It is concluded that at the boundary of Brillouin Zone there is a strong magnon damping.But the magnon damping is very small on Zone of small wave vectors,and magnon damping has maximal at the boundary of Brillouin Zone.According to Expression-Im∑~(*(1))(k)=(/(2τ),)the magnon lifetime can be discussed.