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Spin waves in yttrium iron garnet (YIG) nano-structures attract increasingattention from the perspective of novel magnon-based data processingapplications. For short wavelengths needed in small-scale devices, the groupvelocity is directly proportional to the spin-wave exchange stiffness constant$\lambda_\mathrm{ex}$. Using wave vector resolved Brillouin Light Scattering(BLS) spectroscopy, we directly measure $\lambda_\mathrm{ex}$ in Ga-substitutedYIG thin films and show that it is about three times larger than for pure YIG.Consequently, the spin-wave group velocity overcomes the one in pure YIG forwavenumbers $k > 4$ rad/$\mu$m, and the ratio between the velocities reaches aconstant value of around 3.4 for all $k > 20$ rad/$\mu$m. As revealed byvibrating-sample magnetometry (VSM) and ferromagnetic resonance (FMR)spectroscopy, Ga:YIG films with thicknesses down to 59 nm have a low Gilbertdamping ($\alpha < 10^{-3}$), a decreased saturation magnetization $\mu_0M_\mathrm{S}~\approx~20~$mT and a pronounced out-of-plane uniaxial anisotropyof about $\mu_0 H_{\textrm{u1}} \approx 95 $ mT which leads to an out-of-planeeasy axis. Thus, Ga:YIG opens access to fast and isotropic spin-wave transportfor all wavelengths in nano-scale systems independently of dipolar effects.

Fast long-wavelength exchange spin waves in partially-compensated Ga:YIG