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BaMn$_{2}$As$_{2}$ is an antiferromagnetic insulator where a metal-insulatortransition occurs with hole doping via the substitution of Ba with K. Themetal-insulator transition causes only a small suppression of the N\'eeltemperature ($T_\mathrm{N}$) and the ordered moment, suggesting that dopedholes interact weakly with the Mn spin system. Powder inelastic neutronscattering measurements were performed on three different powder samples ofBa$_{1-x}$K$_{x}$Mn$_{2}$As$_{2}$ with $x=$0, 0.125 and 0.25 to study theeffect of hole doping and metallization on the spin dynamics of thesecompounds. We compare the neutron intensities to a linear spin wave theoryapproximation to the $J_{1}-J_{2}-J_{c}$ Heisenberg model. Hole doping is foundto introduce only minor modifications to the exchange energies and spin gap.The changes observed in the exchange constants are consistent with the smalldrop of $T_\mathrm{N}$ with doping.

Robust antiferromagnetic spin waves across the metal-insulator transition in hole-doped BaMn$_{2}$As$_{2}$