  In this proceeding we will show that the expectations of the isobaric
$^{96}_{44}\mathrm{Ru}+^{96}_{44}\mathrm{Ru}$ and
$^{96}_{40}\mathrm{Zr}+^{96}_{40}\mathrm{Zr}$ collisions on chiral magnetic
effect (CME) search may not hold as originally anticipated due to large
uncertainties in the isobaric nuclear structures. We demonstrate this using
Woods-Saxon densities and the proton and neutron densities calculated by the
density functional theory. Furthermore, a novel method is proposed to gauge
background and possible CME contributions in the same system, intrinsically
better than the isobaric collisions of two different systems. We illustrate the
method with Monte Carlo Glauber and AMPT (A Multi-Phase Transport) simulations.
