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arXiv · 1005.1824

Coulomb interaction and first order superconductor-insulator transition

S. V. Syzranov·I. L. Aleiner·B. L. Altshuler·K. B. Efetov
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Abstract

The superconductor-insulator transition (SIT) in regular arrays of Josephson junctions is studied at low temperatures. Near the transition a Ginzburg-Landau type action containing the imaginary time is derived. The new feature of this action is that it contains a gauge field $Φ$ describing the Coulomb interaction and changing the standard critical behavior. The solution of renormalization group (RG) equations derived at zero temperature $T=0$ in the space dimensionality $d=3$ shows that the SIT is always of the first order. At finite temperatures, a tricritical point separates the lines of the first and second order phase transitions. The same conclusion holds for $d=2$ if the mutual capacitance is larger than the distance between junctions.

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S. V. Syzranov, I. L. Aleiner, B. L. Altshuler, K. B. Efetov. 2010-05-11. Coulomb interaction and first order superconductor-insulator transition. https://doi.org/10.1103/physrevlett.105.137001

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