In typical Ce-based heavy-fermion superconductors, superconducting (SC)
phases emerge or can be tuned in proximity to the antiferromagnetic (AF)
quantum critical point (QCP), but so far the explicit phase-evolution process
and the coexistence of superconductivity and AF order near the QCP remain lack
of understanding. Here, by combing DFT+DMFT with effective-model calculations,
we provide a theoretical description for Ce-based SC compounds under pressure.
Firstly, DFT+DMFT calculations for the normal states reveal that the Kondo
hybridizations are significantly enhanced, while the initially localized f
electrons eventually become fully itinerant via a localized-itinerant
crossover. In this context, we construct an effective model with tunable
parameters under pressure, and show that the interplay of magnetic correlation
and Kondo hybridization can drive successive transitions, from AF phase to
AF+SC coexisting phase, then to paramagnetic SC phase via an AF transition
which corresponds to the QCP, and finally to Kondo paramagnetic phase through a
SC transition driven by localized-itinerant crossover. Our study gives a proper
explanation for the pressure-induced magnetic QCP and SC transition, and for
the phase-evolution process under pressure in typical Ce-based superconductors,
and may also help to understand the SC states emerging around the ferromagnetic
quantum transition points in uranium-based superconductors.Comment: 13 pages, 11 figure