The altermagnet (AM), a recently identified class of collinear magnet, has garnered significant attention due to its unique combination of zero net magnetization and spin-split energy bands, leading to a variety of novel physical phenomena. Using numerically exact lattice Monte Carlo simulations, we investigate AM-like phases within the Ising-Kondo lattice model (the anisotropic easy-axis limit of the Kondo lattice model), which is commonly employed to describe heavy-fermion materials. By incorporating an alternating next-nearest-neighbor hopping (NNNH) term, which arises from the influence of nonmagnetic atoms in altermagnetic candidate materials, our results reveal key signatures of AM-like states, including spin-splitting quasiparticle bands and spectral functions, and demonstrate that a $d$-wave AM remains stable across a broad range of interaction strengths, electron concentrations, NNNH amplitudes, and temperatures, highlighting its robustness. Furthermore, through an analysis of non-magnetic impurity effects, we further confirm the $d$-wave symmetry of the AM phase. These findings establish a solid theoretical foundation for exploring AM-like phases in $f$-electron compounds, paving the way for future investigations into their exotic magnetic and electronic properties.

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• Altermagnets
• Heavy-fermion systems
• Strongly correlated systems