Fine tuning of the quantum criticality in the heavy fermion superlattices CeRhIn$_{5}$/YbRhIn$_{5}$

Bulk CeRhIn$_{5}$ shows an antiferromagnetic order at $T_{\rm N}$ = 3.8 K. Using molecular beam epitaxy, we fabricate artificial superlattices CeRhIn$_{5}(m)$/YbRhIn$_{5}$(7) ($m$ = 2, 3, 4, 5, 9) containing $m$ layers of CeRhIn$_{\rm 5}$ alternating with seven layers of the nonmagnetic metal YbRhIn$_{5}$. With decreasing $m$, $T_{\rm N}$ is seriously reduced and nearly vanishes at the $m$ = 3, indicating the dimensional tuning of the quantum criticality. When the magnetic field is applied to $m$ = 3 superlattice perpendicular to the plane, $T$-linear resistivity, a hallmark of non-Fermi liquid, persists down to 50 mK, demonstrating the fine tuning of the quantum critical point