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=RQ/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/EC. Here our focus is on the size transition of the Superconductor-Insulator Transition in JJ arrays.
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