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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| Published in: | Физика низких температур |
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| Date: | 2010 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2010
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/117528 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862625139940655104 |
|---|---|
| author | Kuplevakhsky, S.V. Glukhov, A.M. |
| author_facet | Kuplevakhsky, S.V. Glukhov, A.M. |
| 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. |
| collection | DSpace DC |
| container_title | 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.
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| first_indexed | 2025-12-07T13:34:19Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-117528 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 0132-6414 |
| language | English |
| last_indexed | 2025-12-07T13:34:19Z |
| publishDate | 2010 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Kuplevakhsky, S.V. Glukhov, A.M. 2017-05-24T05:29:17Z 2017-05-24T05:29:17Z 2010 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 https://nasplib.isofts.kiev.ua/handle/123456789/117528 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. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Физика низких температур Quantum coherent effects in superconductors and normal metals Exact analytical solution of a classical problem of the Josephson tunnel junction Article published earlier |
| spellingShingle | 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 |
| title | 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_short | 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 |
| topic | Quantum coherent effects in superconductors and normal metals |
| topic_facet | Quantum coherent effects in superconductors and normal metals |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/117528 |
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