On the self-consistent theory of Josephson effect in ballistic superconducting microconstrictions

The microscopic theory of current-carrying states in the ballistic superconducting microchannel is presented. The effects of the contact length L on the Josephson current are investigated. For the temperatures T close to the critical temperature Tc the problem is treated self-consistently, with allo...

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Бібліографічні деталі
Опубліковано в: :Физика низких температур
Дата:1999
Автори: Zareyan, M., Kolesnichenko, Yu.A., Omelyanchouk, A.N.
Формат: Стаття
Мова:English
Опубліковано: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 1999
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Онлайн доступ:https://nasplib.isofts.kiev.ua/handle/123456789/139331
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати:On the self-consistent theory of Josephson effect in ballistic superconducting microconstrictions / M. Zareyan, Yu.A. Kolesnichenko, A.N. Omelyanchouk // Физика низких температур. — 1999. — Т. 25, № 11. — С. 1154-1160. — Бібліогр.: 14 назв. — англ.

Репозитарії

Digital Library of Periodicals of National Academy of Sciences of Ukraine
id nasplib_isofts_kiev_ua-123456789-139331
record_format dspace
spelling Zareyan, M.
Kolesnichenko, Yu.A.
Omelyanchouk, A.N.
2018-06-20T05:19:35Z
2018-06-20T05:19:35Z
1999
On the self-consistent theory of Josephson effect in ballistic superconducting microconstrictions / M. Zareyan, Yu.A. Kolesnichenko, A.N. Omelyanchouk // Физика низких температур. — 1999. — Т. 25, № 11. — С. 1154-1160. — Бібліогр.: 14 назв. — англ.
0132-6414
https://nasplib.isofts.kiev.ua/handle/123456789/139331
The microscopic theory of current-carrying states in the ballistic superconducting microchannel is presented. The effects of the contact length L on the Josephson current are investigated. For the temperatures T close to the critical temperature Tc the problem is treated self-consistently, with allowance for the distribution of the order parameter D(r) inside the contact. The closed integral equation for D in strongly inhomogeneous microcontact geometry (L< and ~x₀ , where x₀ is the coherence length at T=0) replaces the differential Ginzburg-Landau equation. The critical current Ic(L) is expressed in terms of the solution of this integral equation. The limiting cases of L<<x₀ and L>>x₀ are considered. With increasing length L, the critical current decreases, although the ballistic Sharvin resistance of the contact remains the same as at L=0. For ultrashort channels with L< and ~ aD (aD~nF/wD , where w D is the Debye frequency) the corrections for the value of the critical current Ic(L=0) are sensitive to the strong-coupling effects.
This work has been supported in part by the Institute for Advanced Studies in Basic Sciences at Zanjan, IRAN.
en
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
Физика низких температур
Свеpхпpоводимость, в том числе высокотемпеpатуpная
On the self-consistent theory of Josephson effect in ballistic superconducting microconstrictions
Article
published earlier
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
title On the self-consistent theory of Josephson effect in ballistic superconducting microconstrictions
spellingShingle On the self-consistent theory of Josephson effect in ballistic superconducting microconstrictions
Zareyan, M.
Kolesnichenko, Yu.A.
Omelyanchouk, A.N.
Свеpхпpоводимость, в том числе высокотемпеpатуpная
title_short On the self-consistent theory of Josephson effect in ballistic superconducting microconstrictions
title_full On the self-consistent theory of Josephson effect in ballistic superconducting microconstrictions
title_fullStr On the self-consistent theory of Josephson effect in ballistic superconducting microconstrictions
title_full_unstemmed On the self-consistent theory of Josephson effect in ballistic superconducting microconstrictions
title_sort on the self-consistent theory of josephson effect in ballistic superconducting microconstrictions
author Zareyan, M.
Kolesnichenko, Yu.A.
Omelyanchouk, A.N.
author_facet Zareyan, M.
Kolesnichenko, Yu.A.
Omelyanchouk, A.N.
topic Свеpхпpоводимость, в том числе высокотемпеpатуpная
topic_facet Свеpхпpоводимость, в том числе высокотемпеpатуpная
publishDate 1999
language English
container_title Физика низких температур
publisher Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
format Article
description The microscopic theory of current-carrying states in the ballistic superconducting microchannel is presented. The effects of the contact length L on the Josephson current are investigated. For the temperatures T close to the critical temperature Tc the problem is treated self-consistently, with allowance for the distribution of the order parameter D(r) inside the contact. The closed integral equation for D in strongly inhomogeneous microcontact geometry (L< and ~x₀ , where x₀ is the coherence length at T=0) replaces the differential Ginzburg-Landau equation. The critical current Ic(L) is expressed in terms of the solution of this integral equation. The limiting cases of L<<x₀ and L>>x₀ are considered. With increasing length L, the critical current decreases, although the ballistic Sharvin resistance of the contact remains the same as at L=0. For ultrashort channels with L< and ~ aD (aD~nF/wD , where w D is the Debye frequency) the corrections for the value of the critical current Ic(L=0) are sensitive to the strong-coupling effects.
issn 0132-6414
url https://nasplib.isofts.kiev.ua/handle/123456789/139331
citation_txt On the self-consistent theory of Josephson effect in ballistic superconducting microconstrictions / M. Zareyan, Yu.A. Kolesnichenko, A.N. Omelyanchouk // Физика низких температур. — 1999. — Т. 25, № 11. — С. 1154-1160. — Бібліогр.: 14 назв. — англ.
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� ( ′)� ( � − � ′ �) � ��±�vx� ��m�l y � (� ) ks_g¡|m�js_gkº�=���CvF�4��a�jsk�l�ys_�jC_��ÔiNdsl�z�m�jCl�_+o/f aIq ¡�d/jsh�l m�iNj � ( � ) � � ( � ) = λ ± π ¶ ∑ ω 6 ) v ω 〈 _ −ω ÎC<�� � c m�j/y    ω� � �    〉 � � 6 ) � ��±C±=� ��j�ix�sl�axm�j4m�jIo���³{����±4vx���u_�y=a��=_ud�c|_�k�l�ys_�f�_Iq�a�l m�iNj λ ± π ¶ ∑ ω 6 ) ω: v ω = v ��¡�iNf ¶ → ¶   � ��±IÖ/� �|lr¡�i4q�qniI��cr¡|f�i=� �Iv��4�I����±(vx�I�¢a�j=kÑ��±x±4��l�y=a¦l�l�yp_ ¡�d/jsh�l m�iNj�� (� ) y4a�c�c�d/h�y�e=f�ipep_gf�l�m�_�c�6m|��l�ys_�¡�d�jCh�l�m�iCj�� (� ) m@c�f�_gaIq��m�m���� ( � ) k=iI_gc�j=iIl�kC_�eC_�j/kºiNj�l y=_�e4y=a�c�_ ϕ � m�m@m|� � (−� ) = − � (� ) � � ( Ï ) = Ï �Æ3ysd/c¦��l�yp_"�/aIq�d=_"i=¡~l�ys_"iNf kC_�fue4a�f�aI��_�l�_gf ∆ a�lul�yp_ h�_gjsl�_�f iN¡ l y=_ h�i=jCl�a¦h�l aCq��ua��=c m�c _g³Cd�aIq l�i ∆ ) ( ¶ ) h�i=c (ϕ È ) ��­�q�c|i���l�ys_�d/j=m��=_gf�c aIq~e4y=a�c�_�k=_�eC_�j/ksz _�j=h�_ri=¡ ∆( ? ϕ) ���uy4m�hgyÓm�c�k=_�l�_�f���m�jC_�k��4�Ó��± Ï ��a�j4km|� × m�m�m|�I�3q�_gaIk=c���c|_�_��=_xq�ix�¥��l�i�l�yC_"c�m�jCd�c|i=m�k/aIq3h�dEf�f�_�jCl ze=y4a�c�_¢ks_�eC_gj4kC_�j=h�_ ! = !   c�m@j ϕ � �Ål�m@c#_g��e=y4a�c�m�®�_�k¥l�y4a�l l�ys_�c|_�o4_gjC_�f aIq e=f�iCe=_�f|l m�_gc�iN¡�l y=_¥�/aIqÅq�m�c�l�m�h���m�h�f|iCh�y=axjsz js_xq�t���m�l�y=m�jºl�yC_uh�i=j=c m�kC_�f�_gk¥h�axc|_�ip¡���f m oEm�k����=iCd/j/ksa�f�� h�ipjsk/m�l�m�ipjsc��Cv Ï ��a�j=k�l�_���eC_gf a�l�d/f�_gc�hIqni=c|_¥l�i ¶   w�£�� À�� �"!�£ À � À £ÄiNj̈ l�yC_¥h�i=jCl a�h�l�qn_�jCo=l y ©���m�j e/a�f�l�m�h�d�q�axfg�i=j�l�yp_ f�a�l�m�i¥ip¡2©2È ξ ) �.9iC�«�u_�a�f�_¥opi=m�jpo�l�i ix�4l�a�m@j l�ys_¥¹xi=c|_�e=y/c�i=j h�dEf�z f�_gjplºm�jÛl�ys_̧ c��/c|l�_g�º��Æ�iÄh�aIqnh�d�q�a�l�_ l yC_rl�iCl�aIq�h�d�f�f�_�jCl � = }*!¥l�y4a�l�¡�qniI��c�l y/f�iNdposy�l y=_�h�y4a�j=j=_Iq�a�l�l y=_�o/m��=_�j e=y4a�c�_ k=m@¡|¡�_gf�_gjsh�_ ϕ ���u_�d4c|_Ól�ys_�_�³Cd/a�l m�i=j§¡�iNfÇl�yp_ h�d/f f|_�j=lªkC_�j4c�m�l�� �F�=�Ôa�j4k«l yC_�a�jsiN��aIqniCd/cÒ²uf|_�_�j)�Kc ¡�d/jsh�l m�iNj B ω �Iv Ø � iC�=l�a�m@j=_�k 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