“…Another hint we obtained from our previous work is that in the δ = 1, and the δ = 1, 1/2 < ∆ ≤ 3/2 cases, fluctuations cause a significant drop in the critical temperature at small Q [7]. Combining the above, we expect that when the chemical potential averages to zero (δ = 1) and the scaling dimension of the order parameter satisfies 3/2 < ∆ ≤ 3, the superconducting regime is capped at larger values of Q, while when the fluctuations are turned on, it is capped at the smaller values of Q, thus resulting in a superconducting dome.…”