  The study of Weyl semimetals (WSMs) lies at the forefront of the nontrivial
topological phenomena in condensed-matter physics. In this work, we study the
effect of on-site repulsive Hubbard interaction on the WSM system with a
nonzero tilt at half filling. Within the Hartree-Fock mean-field approximation,
we treat the Hubbard interaction self-consistently and find that the Fock
exchange field vanishes, while the Hartree field can renormalize the
topological mass, the tilt, and the Fermi velocity of the Weyl cones. When the
renormalized tilt is larger than the renormalized Fermi velocity, the Hubbard
interaction will induce the quantum phase transition from a type-I WSM to a
type-II WSM. We then provide the interaction-induced phase diagrams of WSMs in
different parametric spaces, in which the antiferromagnetic order at strong
interaction is also considered. In addition, we analyze another model hosting
two pairs of Weyl nodes, and similar results are obtained. The implications of
these results are discussed.
