Altermagnets exhibit momentum-dependent spin splitting despite having zero net magnetization. This enables a spin splitter effect in which an external electric field generates transverse spin currents by separating oppositely polarized carriers. Here, we develop a unified semiclassical theory of linear extrinsic spin splitter currents, incorporating impurity-induced side-jump and skew-scattering contributions, and apply it to the $d$-wave altermagnet ${\mathrm{FeSb}}_2$. We demonstrate that asymmetric impurity scattering provides a dominant channel for spin splitter currents. Remarkably, the resulting extrinsic spin conductivity is time-reversal even, in contrast to previously studied spin splitter responses arising from symmetric scattering.

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• Altermagnetism
• Spin Hall effect
• Spintronics
• Altermagnets
• Boltzmann theory