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

Chia-Ren Hu, Raymond Lei Chen

DOI 10.1103/PhysRevB.37.7907 · Physical Review B

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Abstract

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 Tc2*/Tc0 at rational (p/q) flux quanta per unit cell approaches zero according to the power law (a/b)−q, so that the higher-q cusps fade away faster than the low-q ones.

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