  Novel collinear magnet, the altermagnet (AM) with spin-splitting energy band
and zero net magnetization have attracted great interest due to its potential
spintronic applications. Here, we demonstrate AM-like phases in a microscopic
Kondo lattice model, widely used for heavy fermion compounds. With the
framework of fermionic parton mean-field theory, we find the $d$-wave AM state
can coexist with the intrinsic Kondo screening effect in such itinerant-local
electron system if an alternating next-nearest-neighbor-hopping (NNNH) is
included. Such alternating NNNH take nonmagnetic atoms, neglected in usual
antiferromagnetism study, into account when encountering real-life candidate AM
materials. The AM-like states are characterized by their spin-splitting
quasiparticle bands, Fermi surface, spin-resolved distribution function and
conductivity. It is suggested that the magnetic quantum oscillation and charge
transport measurement can detect those AM-like phases. We hope the present work
may be useful for exploring AM-like phases in $f$-electron compounds.
