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- W2040986788 abstract "We consider a chain of Josephson-junction rhombi (proposed originally by Douifmmode mbox{c{c}}else c{c}fi{}ot and Vidal) in the quantum regime. In the maximally frustrated case when magnetic flux through each rhombi ${ensuremath{Phi}}_{r}$ is equal to one-half of the superconductive flux quantum ${ensuremath{Phi}}_{0}$, the Josephson current is due to the correlated transport of pairs of Cooper pairs; i.e., charge is quantized in units of $4e$. A sufficiently strong deviation $ensuremath{delta}ensuremath{Phi}ensuremath{equiv}ensuremath{mid}{ensuremath{Phi}}_{r}ensuremath{-}{ensuremath{Phi}}_{0}∕2ensuremath{mid}>ensuremath{delta}{ensuremath{Phi}}^{c}$ from the maximally frustrated point brings the system back to the usual $2e$-quantized supercurrent. For a regular chain $ensuremath{delta}{ensuremath{Phi}}^{c}$ was calculated by us in Phys. Rev. B 70, 184519 (2004). Here we present a detailed analysis of the effect of quenched disorder (random stray charges and random fluxes piercing rhombi) on the pairing effect. For the case of a chain with random stray charges in the quantum regime we derive the probability to find the system in the $4e$-dominated regime and estimate the characteristic value of the critical deflection $ensuremath{delta}{ensuremath{Phi}}^{c}$." @default.
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- W2040986788 date "2006-08-30" @default.
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- W2040986788 title "Coherent transport in Josephson-junction rhombi chain with quenched disorder" @default.
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- W2040986788 doi "https://doi.org/10.1103/physrevb.74.064516" @default.
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