Coherent transport in Josephson-junction rhombi chain with quenched disorder

Ivan V. Protopopov, Mikhail V. Feigel'man

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13 Citations (Scopus)


We consider a chain of Josephson-junction rhombi (proposed originally by Douçot and Vidal) in the quantum regime. In the maximally frustrated case when magnetic flux through each rhombi Φr is equal to one-half of the superconductive flux quantum Φ0, 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 δΦ≡ Φr - Φ0 2 >δ Φc from the maximally frustrated point brings the system back to the usual 2e -quantized supercurrent. For a regular chain δ Φc 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 δ Φc.

Original languageEnglish
Article number064516
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number6
Publication statusPublished - 2006
Externally publishedYes


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