On Superconductivity of One-Dimensional Channel with Strong Electron–Electron Interaction
We study the ground state of a one-dimensional channel with strong attractive electron−electron interactions at low temperatures. In spite of the fact that, at low temperatures, the ground state of one-dimensional attracting electrons is a state with a macroscopically large number of coope...
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MDPI AG
2019-06-01
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Series: | Condensed Matter |
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Online Access: | https://www.mdpi.com/2410-3896/4/3/62 |
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author | Vasily V. Afonin Serge V. Gantsevich |
author_facet | Vasily V. Afonin Serge V. Gantsevich |
author_sort | Vasily V. Afonin |
collection | DOAJ |
description | We study the ground state of a one-dimensional channel with strong attractive electron−electron interactions at low temperatures. In spite of the fact that, at low temperatures, the ground state of one-dimensional attracting electrons is a state with a macroscopically large number of cooperons, the resulting superconducting phase has a number of significant differences. Namely, the order parameter (which should appear in the superconducting phase according to Landau’s phenomenological theory) turns out to be zero. However, elastic impurities implanted in a one-dimensional channel will not lead to dissipation of the supercurrent associated with the condensate movement as a whole. |
first_indexed | 2024-04-11T22:26:24Z |
format | Article |
id | doaj.art-3b0ffc202e5b47fdbe2e1bf1797675d2 |
institution | Directory Open Access Journal |
issn | 2410-3896 |
language | English |
last_indexed | 2024-04-11T22:26:24Z |
publishDate | 2019-06-01 |
publisher | MDPI AG |
record_format | Article |
series | Condensed Matter |
spelling | doaj.art-3b0ffc202e5b47fdbe2e1bf1797675d22022-12-22T03:59:40ZengMDPI AGCondensed Matter2410-38962019-06-01436210.3390/condmat4030062condmat4030062On Superconductivity of One-Dimensional Channel with Strong Electron–Electron InteractionVasily V. Afonin0Serge V. Gantsevich1Ioffe Physical-Technical Institute of the Russian Academy of Sciences, 194021 St.Petersburg, RussiaIoffe Physical-Technical Institute of the Russian Academy of Sciences, 194021 St.Petersburg, RussiaWe study the ground state of a one-dimensional channel with strong attractive electron−electron interactions at low temperatures. In spite of the fact that, at low temperatures, the ground state of one-dimensional attracting electrons is a state with a macroscopically large number of cooperons, the resulting superconducting phase has a number of significant differences. Namely, the order parameter (which should appear in the superconducting phase according to Landau’s phenomenological theory) turns out to be zero. However, elastic impurities implanted in a one-dimensional channel will not lead to dissipation of the supercurrent associated with the condensate movement as a whole.https://www.mdpi.com/2410-3896/4/3/62superconductivityone-dimensional electrons |
spellingShingle | Vasily V. Afonin Serge V. Gantsevich On Superconductivity of One-Dimensional Channel with Strong Electron–Electron Interaction Condensed Matter superconductivity one-dimensional electrons |
title | On Superconductivity of One-Dimensional Channel with Strong Electron–Electron Interaction |
title_full | On Superconductivity of One-Dimensional Channel with Strong Electron–Electron Interaction |
title_fullStr | On Superconductivity of One-Dimensional Channel with Strong Electron–Electron Interaction |
title_full_unstemmed | On Superconductivity of One-Dimensional Channel with Strong Electron–Electron Interaction |
title_short | On Superconductivity of One-Dimensional Channel with Strong Electron–Electron Interaction |
title_sort | on superconductivity of one dimensional channel with strong electron electron interaction |
topic | superconductivity one-dimensional electrons |
url | https://www.mdpi.com/2410-3896/4/3/62 |
work_keys_str_mv | AT vasilyvafonin onsuperconductivityofonedimensionalchannelwithstrongelectronelectroninteraction AT sergevgantsevich onsuperconductivityofonedimensionalchannelwithstrongelectronelectroninteraction |