  The production of light nuclei in isobaric $^{96}_{44}$Ru + $^{96}_{44}$Ru
and $^{96}_{40}$Zr + $^{96}_{40}$Zr collisions, ranging from $\sqrt{s_{NN}}$ =
7.7 to 200 GeV, are studied using the string melting version of A Multi Phase
Transport (AMPT) model in combination with a coalescence approach to light
nuclei production. From the calculated yields, transverse momentum $p_{T}$
spectra, and rapidity dependences of light nuclei $p$, $n$, $d$, $t$,
${}^{3}$He, we find that the Ru+Ru/Zr+Zr ratios for the yields of these
particles exceed unity with the inclusion of a quadrupole deformation $\beta_{
2 }$ and octupole deformation $\beta_{ 3 }$ as well as the neutron skins. We
also find that heavier particles have a larger deviation from unity.
Furthermore, we find that as the collision energy increases, the influence of
isospin effects on the production of light nuclei in isobar collisions
gradually decreases, while the influence of nuclear structure becomes more
significant, particularly evident from the energy dependence of the deuteron
ratio, which is unaffected by isospin effects.
