Abstract

The chainlike spin-$1/2$ antiferromagnetic vanadium oxide compound ${\mathrm{Sr}}_{2}{\mathrm{V}}_{3}{\mathrm{O}}_{9}$ is studied by electron spin resonance (ESR) with special attention to the space distribution of the Dzyaloshinskii-Moriya (DM) vector along magnetic chains. The angular variation and the temperature dependence of the ESR linewidth is measured in two different planes of a single crystal in the temperature range 4.2--500 K. The ESR data interpretation is based on the combined application of the standard ESR theory for low-dimensional systems and an updated theory using a hidden symmetry in the antiferromagnetic spin-$1/2$ chain model with the staggered DM interaction. As a result, a DM interaction with a more general (nonstaggered) spatial distribution of DM vectors is claimed to be responsible for the magnetic properties of the chainlike system ${\mathrm{Sr}}_{2}{\mathrm{V}}_{3}{\mathrm{O}}_{9}.$

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