Power-law fading of the frustration effect in a periodic rectangular superconducting network with increasing aspect ratio

It is shown that the same amount of total frustration imposed on a rectangular superconducting network produces a monotonically diminishing effect as the aspect ratio a/b of the network is increased. Various types of power-law behavior are found in the limit of a/b→∞, the most interesting one being that the slope discontinuities of $T_{c2}^{\mathrm{*}}$/$T_{c0}$ at rational (p/q) flux quanta per unit cell approaches zero according to the power law (a/b${)}^{\mathrm{-}q}$, so that the higher-q cusps fade away faster than the low-q ones.