Coulomb Interaction and First-Order Superconductor-Insulator Transition

S. V. Syzranov, I. L. Aleiner, B. L. Altshuler, K. B. Efetov
2010 Physical Review Letters  
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
more » ... ays 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.
doi:10.1103/physrevlett.105.137001 pmid:21230800 fatcat:swrmv4vmzrao3a4xwgok56fktm