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29 March 2024
 
  » arxiv » cond-mat/0405170

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Theory of 4e versus 2e supercurrent in frustrated Josepshon-junction rhombi chain
Ivan V. Protopopov ; Mikhail V. Feigel’man ;
Date 8 May 2004
Subject Superconductivity; Mesoscopic Systems and Quantum Hall Effect | cond-mat.supr-con cond-mat.mes-hall
AbstractWe consider a chain of Josepshon-junction rhombi (proposed originally in cite{Doucot}) in quantum regime, and in the realistic case when charging effects are determined by junction capacitances. In the maximally frustrated case when magnetic flux through each rhombi $Phi_r$ is equal to one half of superconductive flux quantum $Phi_0$, Josepshon current is due to correlated transport of {em pairs of Cooper pairs}, i.e. charge is quantized in units of $4e$. Sufficiently strong deviation $ deltaPhi equiv |Phi_r-Phi_0/2| > deltaPhi^c$ from the maximally frustrated point brings the system back to usual $2e$-quantized supercurrent. We present detailed analysis of Josepshon current in the fluctuation-dominated regime (sufficiently long chains) as function of the chain length, $E_J/E_C$ ratio and flux deviation $ deltaPhi$. We provide estimates for the set of parameters optimized for the observation of $4e$-supercurrent.
Source arXiv, cond-mat/0405170
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