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We report an inelastic light scattering study of single-crystallineNaCu$_2$O$_2$, a spin-chain compound known to exhibit a phase with helicalmagnetic order at low temperatures. Phonon excitations were studied as afunction of temperature and light polarization, and the phonon frequencies arecompared to the results of ab-initio lattice dynamical calculations, which arealso reported here. The good agreement between the observed and calculatedmodes allows an assignment of the phonon eigenvectors. Two distinct high-energytwo-magnon features as well as a sharp low-energy one-magnon peak were alsoobserved. These features are discussed in terms of the magnon modes expected ina helically ordered state. Their polarization dependence provides evidence ofsubstantial exchange interactions between two closely spaced spin chains withina unit cell. At high temperatures, the spectral features attributable tomagnetic excitations are replaced by a broad, quasielastic mode due tooverdamped spin excitations

physical review. b, condensed matter and materials physics

Magnetic excitations and phonons in the spin-chain compound<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi mathvariant="normal">Na</mml:mi><mml:msub><mml:mi mathvariant="normal">Cu</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:mrow></mml:math>

Magnetic excitations and phonons in the spin-chain compoundNaCu2O2