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Spin dynamics of the square lattice Heisenberg antiferromagnet, \BaMnGeO, isstudied by a combination of bulk measurements, neutron diffraction, andinelastic neutron scattering techniques. Easy plane type antiferromagneticorder is identified at $T \le 4.0$ K. The exchange interactions are estimatedas $J_1$ = 27.8(3)${\mu}$eV and $J_2$ = 1.0(1) ${\mu}$eV, and the saturationfield $H_{\rm C}$ is 9.75 T. Magnetic excitation measurements with highexperimental resolution setup by triple axis neutron spectrometer reveals theinstability of one magnon excitation in the field range of $0.7H_{\rm C}\lesssim H \lesssim 0.85H_{\rm C}$.

Instability of Magnons in Two-dimensional Antiferromagnet at High Magnetic Fields