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Yttrium iron garnet (YIG) is a magnetic insulator with record-low damping,allowing spin-wave transport over macroscopic distances. Doping YIG withgallium ions greatly reduces the demagnetizing field and introduces aperpendicular magnetic anisotropy, which leads to an isotropic spin-wavedispersion that facilitates spin-wave optics and spin-wave steering. Here, wecharacterize the dispersion of a gallium-doped YIG (Ga:YIG) thin film usingelectrical spectroscopy. We determine the magnetic anisotropy parameters fromthe ferromagnetic resonance frequency and use propagating spin wavespectroscopy in the Damon-Eshbach configuration to detect the small spin-wavemagnetic fields of this ultrathin weak magnet over a wide range of wavevectors,enabling the extraction of the exchange constant $\alpha=1.3(2)\times10^{-12}$J/m. The frequencies of the spin waves shift with increasing drive power, whicheventually leads to the foldover of the spin-wave modes. Our results shed lighton isotropic spin-wave transport in Ga:YIG and highlight the potential ofelectrical spectroscopy to map out the dispersion and bistability ofpropagating spin waves in magnets with a low saturation magnetization.

Electrical spectroscopy of the spin-wave dispersion and bistability in gallium-doped yttrium iron garnet