We clarify the pairing mechanism of high-Tcβ superconductivity in bilayer
La3βNi2βO7β under high pressure by employing the static auxiliary field
Monte Carlo approach to simulate a minimal effective model that contains local
dz2β inter-layer spin singlets and metallic dx2βy2β bands.
Superconductivity is induced when the local spin singlet pairs are mobilized
and attain long-distance phase coherence by hybridization with the metallic
bands. We find a dual role of hybridization that not only induces global phase
coherence but also competes with the spin singlet formation. This lead to a
tentative phase diagram where Tcβ varies nonmonotonically with the
hybridization, in good correspondence with experimental observation. A roughly
linear relation is obtained for realistic hopping and hybridization parameters:
Tcββ0.05J, where J is the inter-layer superexchange interaction. We
emphasize the peculiar tunability of the bilayer structure and propose that
Tcβ may be further enhanced by applying uniaxial pressure along the c axis
on superconducting La3βNi2βO7β. Our work provides numerical evidences for
the pairing mechanism of high-Tcβ superconductivity in La3βNi2βO7β and
points out a potential route to achieve even higher Tcβ.Comment: 6 pages,4 figure