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...

Full description

Bibliographic Details
Main Authors: Vasily V. Afonin, Serge V. Gantsevich
Format: Article
Language:English
Published: MDPI AG 2019-06-01
Series:Condensed Matter
Subjects:
Online Access:https://www.mdpi.com/2410-3896/4/3/62
_version_ 1798041714318901248
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