Condensed Matter Physics, 2021, vol. 24, No. 2, 23701
DOI:10.5488/CMP.24.23701           arXiv:2106.13588

Title: Current-phase relation in layered superconducting structures of SIS’IS type
Author(s):
  A. M. Shutovskyi (Lesya Ukrainka Volyn National University, 13 Voli Ave., 43000 Lutsk, Ukraine),
  V. E. Sakhnyuk (Lesya Ukrainka Volyn National University, 13 Voli Ave., 43000 Lutsk, Ukraine)

The dependence of the current density on the phase difference is investigated considering the layered superconducting structures of a SIS’IS type. To simplify the calculations, the quasiclassical equations for the Green’s functions in a t-representation are derived. An order parameter is considered as a piecewise constant function. To consider the general case, no restrictions on the dielectric layer transparency and the thickness of the intermediate layer are imposed. It was found that a new analytical expression for the current-phase relation can be used with the aim to obtain a number of previously known results arising in particular cases.

Key words: Josephson effect, Josephson junctions, Green's function methods


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