← Back to search

One-dimensional Josephson arrays as superlattices for single Cooper pairs

A. A. Odintsov

DOI 10.1103/PhysRevB.54.1228 · Physical Review B

T1

Active bibliographic source — not scientific approval

Bibliographic access preserves source history; it does not approve extracted materials or validate reported claims. Review warnings on each occurrence separately.

Abstract

We investigate uniform one-dimensional arrays of small Josephson junctions [EJ≪EC, EC=(2e)2/2C] with a realistic Coulomb interaction U(x)=ECλexp(-|x|/λ) (here λ≫1 is the screening length in units of the lattice constant of the array). At low energies this system can be described in terms of interacting Bose particles (extra single Cooper pairs) on the lattice. With increasing concentration ν of extra Cooper pairs, a crossover from the Bose gas phase to the Wigner crystal phase and then to the superlattice regime occurs. The phase diagram in the superlattice regime consists of commensurable insulating phases with ν=1/l (l is integer) separated by superconducting regions where the current is carried by excitations with fractional electric charge q=±2e/l. The Josephson current through a ring-shaped array pierced by magnetic flux is calculated for all of the phases. © 1996 The American Physical Society.

Similar papers