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By exploiting density-matrix renormalization group techniques, we investigatethe spin dynamics of a spin-1/2 one-dimensional J1-J2 XXZ model with competingferromagnetic J1 and antiferromagnetic J2 exchange couplings under appliedmagnetic fields. Numerical results of spin excitation spectra show that in thefield-induced spin quadrupole regime, the longitudinal component has a gaplessmode and the transverse component has a gapped mode irrespective of theexchange anisotropy. The excitation gap of the transverse spin excitationincreases as the exchange anisotropy increases over the XY-like and Ising-likeregions, demonstrating that two-magnon bound states are stabilized due to theeasy-axis anisotropy.

Effects of magnetic anisotropy on spin dynamics of ferromagnetic frustrated chain