Pairing of Cooper pairs in a Josephson junction network containing an impurity

Details Pairing of Cooper pairs in a Josephson junction network containing an impurity Pairing of Cooper pairs in a Josephson junction network containing an impurity

2009-08-06

arxiv.org/abs/0908.0913v3

EPL 88, 17012 (2009)

Physics

Condensed Matter

Strongly Correlated Electrons

5 Pages, 5 Figures. Small modifications, ref.[11] added. To appear in EPL

Scientific paper

We show how to induce pairing of Cooper pairs (and, thus, $4e$ superconductivity) as a result of local embedding of a quantum impurity in a Josephson network fabricable with conventional junctions. We find that a boundary double Sine-Gordon model provides an accurate description of the dc Josephson current patterns, as well as of the stable phases accessible to the network. We point out that tunneling of pairs of Cooper pairs is robust against quantum fluctuations, as a consequence of the time reversal invariance, arising when the central region of the network is pierced by a dimensionless magnetic flux $\phi = \pi$. We find that, for $\phi = \pi$, a stable attractive finite coupling fixed point emerges and point out its relevance for engineering a two level quantum system with enhanced coherence.

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