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):
 
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A. M. Shutovskyi
(Lesya Ukrainka Volyn National University, 13 Voli Ave., 43000 Lutsk, Ukraine),
 
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V. E. Sakhnyuk
(Lesya Ukrainka Volyn National University, 13 Voli Ave., 43000 Lutsk, Ukraine)
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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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