Physics – Condensed Matter – Superconductivity
Scientific paper
2010-05-11
Phys. Rev. Lett. 105, 137001 (2010)
Physics
Condensed Matter
Superconductivity
4.1 pages, 1 figure
Scientific paper
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 $\Phi $ 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.
Aleiner Igor L.
Altshuler Boris L.
Efetov Konstantin B.
Syzranov S. V.
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