Size dependence of the superconductor-insulator transition in josephson junction arrays

Abstract

The superconductor-insulator (SI) transition in a single Josephson junction (JJ) and JJ arrays in one and two dimensional geometry have been extensively studied. In such a structure, EJ, EC and g=R Q/RS are, respectively, the Josephson energy, capacitive Coulomb energy of the superconducting islands, and the Ohmic shunt resistance in units of the quantum resistance, RQ = h/4e2. Experimentally observed phase diagrams in the EJ/EC-g plane show two interesting features. One is dissipative transition controlled by g and the other is quantum phase transition controlled by EJ/E C. Here our focus is on the size transition of the Superconductor-Insulator Transition in JJ arrays. © 2006 Springer Science+Business Media, Inc.