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Here we report a study of the spin dynamics in the ferromagnetic chaincompound $Li_{2}CuO_{2}$. Inelastic neutron scattering measurements allow forthe spin Hamiltonian to be determined using a $J_{1}-J_{2}$ $XXZ$-Heisenbergspin chain model with weak interchain interactions. The primary exchangeparameters determined from our data are qualitatively consistent with those ofLorenz $et$ $al.$ [Europhys. Lett. 88, 37002 (2009)], and our data allow forthe resolution of additional interchain exchange interactions. We also observethe formation of two- and, potentially, three-magnon bound states. Thetwo-magnon bound state exists only in the magnetically ordered phase of thismaterial, consistent with stabilization by the weak, Ising-like exchangeanisotropy of the nearest-neighbor intrachain interaction. In contrast, thepotential three-magnon state persists in a finite temperature regime above$T_{N}$, indicating an unconventional character. Our results establish$Li_{2}CuO_{2}$ as an experimental platform for the study of exchangeanisotropy-stabilized bound states in a ferromagnetic chain.

Refined Spin Wave Model and Multi-magnon Bound States in $Li_{2}CuO_{2}$