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
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
Назва видання:Физика низких температур
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Онлайн доступ:http://dspace.nbuv.gov.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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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spelling irk-123456789-1393312018-06-21T03:07:02Z 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 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. 1999 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/139331 en Физика низких температур Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
topic Свеpхпpоводимость, в том числе высокотемпеpатуpная
Свеpхпpоводимость, в том числе высокотемпеpатуpная
spellingShingle Свеpхпpоводимость, в том числе высокотемпеpатуpная
Свеpхпpоводимость, в том числе высокотемпеpатуpная
Zareyan, M.
Kolesnichenko, Yu.A.
Omelyanchouk, A.N.
On the self-consistent theory of Josephson effect in ballistic superconducting microconstrictions
Физика низких температур
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.
format Article
author Zareyan, M.
Kolesnichenko, Yu.A.
Omelyanchouk, A.N.
author_facet Zareyan, M.
Kolesnichenko, Yu.A.
Omelyanchouk, A.N.
author_sort Zareyan, M.
title On the self-consistent theory of Josephson effect in ballistic superconducting microconstrictions
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
publisher Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
publishDate 1999
topic_facet Свеpхпpоводимость, в том числе высокотемпеpатуpная
url http://dspace.nbuv.gov.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.
series Физика низких температур
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AT omelyanchoukan ontheselfconsistenttheoryofjosephsoneffectinballisticsuperconductingmicroconstrictions
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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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