Magnon bound states in an anisotropic spin chain with Dzyaloshinskii interaction

The wave functions and energies of bound states of an arbitrary number of magnons in a chain with s = 1/2 spins with an anisotropic exchange interaction and a nonuniform exchange-relativistic interaction of the Dzyaloshinskii type are found. The cases of effective anisotropy of the easy-axis and easy-plane types are studied. It is shown that the Dzyaloshinskii interaction substantially affects the dependence of the wave function on the quasimomentum.

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