Exact analytical solution of a classical problem of the Josephson tunnel junction
We present the exact and complete analytical solution of the classical problem of the Josephson tunnel junction of arbitrary length W ∈ (0, ∞) in the presence of externally applied magnetic fields and transport currents. Contrary to a wide-spread belief, the exact analytical solution unambiguously p...
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| Дата: | 2010 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2010
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| Назва видання: | Физика низких температур |
| Теми: | |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/117528 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Exact analytical solution of a classical problem of the Josephson tunnel junction / S.V. Kuplevakhsky, A.M. Glukhov // Физика низких температур. — 2010. — Т. 36, № 10-11. — С. 1253–1263. — Бібліогр.: 26 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1175282017-05-25T03:03:07Z Exact analytical solution of a classical problem of the Josephson tunnel junction Kuplevakhsky, S.V. Glukhov, A.M. Quantum coherent effects in superconductors and normal metals We present the exact and complete analytical solution of the classical problem of the Josephson tunnel junction of arbitrary length W ∈ (0, ∞) in the presence of externally applied magnetic fields and transport currents. Contrary to a wide-spread belief, the exact analytical solution unambiguously proves the absence of any qualitative difference between the so-called «small» (W << 1) and «large» junctions (W >> 1). Another unexpected physical implication of the exact analytical solution is the existence (in the current-carrying state) of unquantized Josephson vortices carrying fractional flux and located near one of the junction's edges. We also refine on the mathematical definition of critical transport current. 2010 Article Exact analytical solution of a classical problem of the Josephson tunnel junction / S.V. Kuplevakhsky, A.M. Glukhov // Физика низких температур. — 2010. — Т. 36, № 10-11. — С. 1253–1263. — Бібліогр.: 26 назв. — англ. 0132-6414 PACS: 74.50.+r, 03.75.Lm, 02.30.Oz http://dspace.nbuv.gov.ua/handle/123456789/117528 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 |
Quantum coherent effects in superconductors and normal metals Quantum coherent effects in superconductors and normal metals |
| spellingShingle |
Quantum coherent effects in superconductors and normal metals Quantum coherent effects in superconductors and normal metals Kuplevakhsky, S.V. Glukhov, A.M. Exact analytical solution of a classical problem of the Josephson tunnel junction Физика низких температур |
| description |
We present the exact and complete analytical solution of the classical problem of the Josephson tunnel junction of arbitrary length W ∈ (0, ∞) in the presence of externally applied magnetic fields and transport currents. Contrary to a wide-spread belief, the exact analytical solution unambiguously proves the absence of any qualitative difference between the so-called «small» (W << 1) and «large» junctions (W >> 1). Another unexpected physical implication of the exact analytical solution is the existence (in the current-carrying state) of unquantized Josephson vortices carrying fractional flux and located near one of the junction's edges. We also refine on the mathematical definition of critical transport current. |
| format |
Article |
| author |
Kuplevakhsky, S.V. Glukhov, A.M. |
| author_facet |
Kuplevakhsky, S.V. Glukhov, A.M. |
| author_sort |
Kuplevakhsky, S.V. |
| title |
Exact analytical solution of a classical problem of the Josephson tunnel junction |
| title_short |
Exact analytical solution of a classical problem of the Josephson tunnel junction |
| title_full |
Exact analytical solution of a classical problem of the Josephson tunnel junction |
| title_fullStr |
Exact analytical solution of a classical problem of the Josephson tunnel junction |
| title_full_unstemmed |
Exact analytical solution of a classical problem of the Josephson tunnel junction |
| title_sort |
exact analytical solution of a classical problem of the josephson tunnel junction |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| publishDate |
2010 |
| topic_facet |
Quantum coherent effects in superconductors and normal metals |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/117528 |
| citation_txt |
Exact analytical solution of a classical problem of the Josephson tunnel junction / S.V. Kuplevakhsky, A.M. Glukhov // Физика низких температур. — 2010. — Т. 36, № 10-11. — С. 1253–1263. — Бібліогр.: 26 назв. — англ. |
| series |
Физика низких температур |
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AT kuplevakhskysv exactanalyticalsolutionofaclassicalproblemofthejosephsontunneljunction AT glukhovam exactanalyticalsolutionofaclassicalproblemofthejosephsontunneljunction |
| first_indexed |
2023-10-18T20:30:00Z |
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2023-10-18T20:30:00Z |
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1796150361687326720 |