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SUMMARY:Boundary conditions for the superconducting junctions at temperatu
res close to critical
DTSTART;VALUE=DATE-TIME:20181205T100500Z
DTEND;VALUE=DATE-TIME:20181205T102500Z
DTSTAMP;VALUE=DATE-TIME:20230330T002236Z
UID:indico-contribution-19@indico.bitp.kiev.ua
DESCRIPTION:Speakers: Oleksandr Pastukh (Lesya Ukrainka Eastern European N
ational University)\nTo calculate the current-phase relation in supercondu
cting junctions\, it is necessary to investigate the spatial behavior of t
he order parameter in the superconducting regions of the junction. In the
case of temperatures close to the critical one\, the Ginzburg-Landau theor
y [1] is used for this purpose. However\, to apply this theory there is ne
cessary to find the corresponding boundary conditions for the Ginzburg-Lan
dau equation. Boundary condition can be found using the Wienerâ€“Hopf meth
od [2-3]\, however\, use of this method for complicated superconducting ju
nctions is problematic.\nIn our investigation\, the problem of finding bou
ndary conditions for the $\\\\$Ginzburg-Landau equation\, was considered i
n the case of different superconducting junctions. In particular\, superco
nducting junctions\, combining tunnel effects and the proximity effect\, w
ith nonmagnetic impurities in superconducting regions were investigated. F
or finding the boundary condition for the Ginzburg-Landau equation the met
hod of quasiorthogonality to asymptotics was used [4]. In addition\, there
were no restrictions on the values of the electron transmission coefficie
nt and the thickness of the normal layer.\nIt has been shown that the boun
dary condition for the Ginzburg-Landau equation contains unknown constants
for the calculation of which the quasiorthogonality to the asymptotics me
thod was used. This method proved to be quite effective for complicated su
perconducting systems which contain the combination of dielectric layer an
d normal layer. In addition\, boundary conditions obtained using this meth
od\, are valid for the arbitrary concentration of nonmagnetic impurities.\
n \n[1] A. V. Svidzinskii\, Spatially Innhomogeneous Problems in the Theor
y of Superconductivity\, Nauka\, Moscow (1982).\n[2] R.O. Zaitsev Boundary
conditions for the superconductivity equations at temperatures close to c
ritical // Sov. Phys. JETP 21\, 1178 (1965).\n[3] A. Barone\, Yu. N. Ovchi
nnikov Boundary conditions and critical current of SNS junctions // Zh. Ek
sp. Teor. Fiz. 77\, 1463 (1979).\n[4] A. V. Svidzinsky\, and V. E. Sakhnyu
k\, Condens. Matter Phys. 3\, 683 (2000).\n\nhttps://indico.bitp.kiev.ua/e
vent/2/contributions/19/
LOCATION:
URL:https://indico.bitp.kiev.ua/event/2/contributions/19/
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