<p>This paper adopts a theoretical approach to investigate Love-wave propagation in a piezomagnetic (PM) layer on a piezoelectric semiconductor (PS) half-space. Based on the macroscopic theories of PM and PS materials, dispersion equations for Love waves in the multiferroic composite semiconductor (MCS) structure are derived under different boundary conditions. The propagation characteristics of Love waves for different material combinations are discussed. Numerical examples illustrate the effects of initial carrier concentration, PM layer thickness, and material properties on the phase velocity of Love waves. The results show that, compared with the short case, the electrically and magnetically open case has lower wave speed and attenuation for the first three modes, while the magneto-electromechanical coupling factor increases with mode order. Love-wave propagation is notably influenced by PM layer thickness. Moreover, the material properties of the covering layer (PM constant) significantly affect wave speed, while the material properties of the substrate (initial carrier concentration and piezoelectric constant) have only minor effects, as anticipated. These findings inform the analysis and design of various surface acoustic wave devices based on MCS materials.</p>