Superconductor-insulator duality for an array of Josephson wires |
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Authors: | I V Protopopov M V Feigel’man |
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Institution: | (1) Landau Institute for Theoretical Physics, Moscow, 119334, Russia;(2) Moscow Institute of Physics and Technology, Dolgoprudny, Moscow region, 141700, Russia |
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Abstract: | A novel model system is proposed for the study of superconductor-insulator transitions that is a regular lattice whose each
link consists of a Josephson-junction chain of N ≫ 1 junctions in sequence. The theory of such an array is developed for the case of semiclassical junctions with the Josephson
energy E
J
larger compared to the Coulomb energy E
C
= e
2/2C of the junctions. An exact duality transformation is derived that transforms the Hamiltonian of the proposed model into a
standard Hamiltonian of a JJ array. The nature of the ground state is controlled (in the absence of random offset charges)
by the parameter q ≈ N
2 exp
with the superconductive state corresponding to small q < q
c
. The values of q
c
are calculated for magnetic frustrations f = 0 and f = 1/2. The temperature of the superconductive transition T
c
(q) and q < q
c
is estimated for the same values of f. In the presence of strong random offset charges, the T = 0 phase diagram is controlled by the parameter
; the critical value
and the critical temperature
at zero magnetic frustration are estimated.
The text was submitted by the authors in English. |
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Keywords: | |
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