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We investigate magnetic excitations in the frustrated zigzag spin-1/2 chaincompound $\beta$-TeVO$_4$ by inelastic neutron scattering. In the magneticallyordered ground state, the excitation spectrum exhibits coexisting magnondispersion, characteristic of long-range magnetic order, and a spinon-likecontinuum that prevails above 2 meV, indicating the dominance of intrachaininteractions. Combining linear-spin-wave-theory and pre-calculatedspinon-continuum results, we reproduce the experimental spectrum. Our analysisoffers a minimal exchange-network model which determines dominant intrachaininteractions, their anisotropies and weak interchain interactions. The obtainedparameters explain the magnetic ordering vector and spin excitations in themagnetic ground state.

Coexisting spinons and magnons in frustrated zigzag spin-1/2 chain compound $\beta$-TeVO$_4$