Abstract

We combine a muon spin relaxation ($\ensuremath{\mu}\mathrm{SR}$) technique with thermodynamic measurements to explore the spin dynamics of one-dimensional (1D) $S=\frac{1}{2}$ antiferromagnetic double chain ${\mathrm{KNaCuP}}_{2}{\mathrm{O}}_{7}$. Static magnetic susceptibility and specific heat are well described by a uniform 1D spin chain model with the intrachain interaction $J/{k}_{B}\ensuremath{\approx}55\phantom{\rule{0.16em}{0ex}}\mathrm{K}$ and small interchain interactions. Spin excitations probed by zero-field $\ensuremath{\mu}\mathrm{SR}$ evince that high-temperature diffusive spin transport turns into ballistic behavior with decreasing temperature below 30 K. In addition, we observe that longitudinal-field $\ensuremath{\mu}\mathrm{SR}$ varies hardly with an external magnetic field. The field-independent dynamical spin susceptibility disagrees with diffusive or ballistic behaviors.

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