Recently, altermagnetic materials have become rather attractive because such materials showcase the combined advantages of ferromagnets (e.g., spin current) and antiferromagnets (e.g., a low stray field and ultrafast spin dynamics). Symmetry arguments imply that $d$-wave altermagnets may host strain-induced nonrelativistic Zeeman-type spin splittings (ZSSs), and a theoretical, numerical, and experimental justification of such phenomena are of high necessity. In the present paper, we work with collinear spin point groups (SPGs) and use a symmetry analysis to identify 15 SPGs that host strain-induced nonrelativistic ZSSs. These 15 SPGs coincide with the cases associated with $d$-wave alternating spin splittings reported in the literature. We further corroborate our analysis by first-principles numerical simulations, which indicate that a shear strain of $2\%$ creates sizable nonrelativistic ZSSs of up to 177, 100, and 102 meV in ${\mathrm{CoF}}_2, {\mathrm{LiFe}}_2{\mathrm{F}}_6$, and ${\mathrm{La}}_2{\mathrm{O}}_3{\mathrm{Mn}}_2{\mathrm{Se}}_2 d$-wave altermagnetic semiconductors, respectively. Our work suggests an alternative route toward creating spin current in altermagnets, which may be used to design altermagnetic-based spintronic devices.

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• Magnetism
• Spintronics
• Altermagnets
• Antiferromagnets
• First-principles calculations
• k dot p method