Physics – Condensed Matter – Superconductivity
Scientific paper
2010-01-14
Nuclear Physics B 837 [FS] (2010) 153-185
Physics
Condensed Matter
Superconductivity
43 pages, 12 figures
Scientific paper
We analyze a perturbation of the boundary Sine-Gordon model where two boundary terms of different periodicities and scaling dimensions are coupled to a Kondo-like spin degree of freedom. We show that, by pertinently engineering the coupling with the spin degree of freedom, a competition between the two boundary interactions may be induced, and that this gives rise to nonpertubative phenomena, such as the emergence of novel quantum phases: indeed, we demonstrate that the strongly coupled fixed point may become unstable as a result of the "deconfinement" of a new set of phase-slip operators -the short instantons- associated with the less relevant boundary operator. We point out that a Josephson junction network with a pertinent impurity located at its center provides a physical realization of this boundary double Sine-Gordon model. For this Josephson junction network, we prove that the competition between the two boundary interactions stabilizes a robust finite coupling fixed point and, at a pertinent scale, allows for the onset of $4e$ superconductivity.
Giuliano Domenico
Sodano Pasquale
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