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- W2080194890 abstract "We generalize the Alexander--de Gennes equations to a new system of superconducting-wire networks, allowing for variation of the cross-sectional area of wires. The generalized equations are solved for a square lattice of different cross-sectional-area ratios ensuremath{lambda} in the x and y directions. A symmetry of ensuremath{lambda}ensuremath{rightarrow}1/ensuremath{lambda} is related to the Aubry-Andr'e duality and an obvious geometric property. We find that even a slight geometric asymmetry can soften the fine structure of the magnetic phase boundary considerably. We obtain a power-law dependence on the parameter ensuremath{lambda} as ensuremath{lambda}ensuremath{rightarrow}ensuremath{infty} and ensuremath{lambda}ensuremath{rightarrow}0. For a finite-area ratio ensuremath{lambda}, we speculate that a simple analytic fit incorporating the dual symmetry is close to the exact nonperturbative behavior. The system is also related analytically to a recent study of Hu and Chen, which revealed a power-law behavior for a rectangular lattice." @default.
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- W2080194890 date "1991-03-01" @default.
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- W2080194890 title "Duality symmetry and power-law fading of frustration in a quantum multiconnected superconductor" @default.
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- W2080194890 doi "https://doi.org/10.1103/physrevb.43.5375" @default.
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