Fizika Nizkikh Temperatur: Volume 43, Number 6 (June 2017), p. 835-842    ( to contents , go back )

Influence of depairing effects on current-phase relation in SIS contacts in present of nonmagnetic impurities of arbitrary concentration

O.Yu. Pastukh, A.M. Shutovskii, and V.E. Sakhnyuk

Lesya Ukrainka Eastern European National University, 13 Volya Avenue, Lutsk, Ukraine, 43025

Received Jule 26, 2016


The equilibrium current states in superconducting junctions of SIS-type (S is the superconductor, I is the insulator) for an arbitrary dielectric layer transparency and in the presence of nonmagnetic impurities of arbi-trary concentration are investigated. The investigation has been done for temperatures close to the critical one, that’s why Ginzburg–Landau theory has been used. The calculations have been made considering depairing ef-fects the presence of which in the system is reflected by the superfluid velocity term in Ginzburg–Landau equa-tion. In addition to numerous results available in the present research a new analytical formula for current-phase relation for arbitrary electrons transmission values and for arbitrary electron free path has been obtained. Analytical formula for the dependence of critical current from barrier transparency and electron free path was al-so obtained. It is shown that the analytical result is con-sistent with numerical calculations very well.

PACS: 74.50.+r Tunneling phenomena; Josephson effects.

Key words: superconductor, SIS contact, Ginzburg–Landau theory, depairing effect, order parameter.

Published online: April 25, 2017

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