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VOLUME 85 | ISSUE 10 | PAGE 621
Superconductor-insulator duality for the array of Josephson wires
I. V. Protopopov, M. V. Feigel'man
L.D. Landau Institute for Theoretical Physics, 119334 Moscow, Russia
Moscow Institute of Physics and Technology, 141700 Dolgoprudny, Moscow Region, Russia


PACS: 74.40.+k, 74.81.Fa
Abstract
We propose novel model system for the studies of superconductor-insulator transitions, which is a regular lattice, whose each link consists of Josephson-junction chain of N \gg 1 junctions in sequence. The theory of such an array is developed for the case of semiclassical junctions with the Josephson energy EJ large compared to the junctions's Coulomb energy EC = e2/2C. Exact duality transformation is derived, which transforms the Hamiltonian of the proposed model into a standard Hamiltonian of JJ array. The nature of the ground state is controlled (in the absence of random offset charges) by the parameter q \approx N^2 \exp(-\sqrt{8E_J/E_C}), with superconductive state corresponding to small q < qc . The values of qc are calculated for magnetic frustrations f= 0 and f=1/2. Temperature of superconductive transition Tc(q) and q < qc is estimated for the same values of f. In presence of strong random offset charges, the T=0 phase diagram is controlled by the parameter \bar{q} = q/\sqrt{N}; we estimated critical value \bar{q}_c and critical temperature T_c(\bar{q} < \bar{q}_c) at zero magnetic frustration.


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