Metal-insulator transition in random superconducting networks

Abstract

The nature of the eigenstates and the effects on the superconducting-to-normal phase boundary in a two-dimensional random superconducting network are examined by finite-size scaling transfer-matrix calculations within the mean-field Ginzburg-Landau theory of second-order phase transitions. Results for a site-diluted square lattice are presented and a rich structure in the mobility-edge trajectory is obtained. The critical exponent for the slope of the critical field on ($p-p_c$) is calculated and compared with previous estimates.