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Teoreticheskaya i Matematicheskaya Fizika, 2020, Volume 203, Number 2, Pages 300–310
DOI: https://doi.org/10.4213/tmf9720 (Mi tmf9720) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Impact of surface defects on a condensate of electron pairs in a quantum wire

J. Kerner

Department of Mathematics and Computer Science, FernUniversität in Hagen, Hagen, Germany
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DOI: https://doi.org/10.4213/tmf9720
Abstract: We study the impact of surface defects on a condensate of electron pairs in a quantum wire. Based on previous results, we formulate a simple mathematical model accounting for such surface effects. For a system of noninteracting pairs, we prove the destruction of the condensate in the bulk. Finally, taking repulsive interactions between the pairs into account, we show that the condensate is recovered for pair densities greater than a critical density if the number of the surface defects is not too large.
Keywords: condensation, electron pair, surface defect.
Received: 12.03.2019
Revised: 14.10.2019
English version:
Theoretical and Mathematical Physics, 2020, Volume 203, Issue 2, Pages 691–699
DOI: https://doi.org/10.1134/S0040577920050104
Bibliographic databases:
Document Type: Article
MSC: 82B26; 82B10; 81V70; 81Q10; 81Q35; 82D77; 82D80; 82D55
Language: Russian
Citation: J. Kerner, “Impact of surface defects on a condensate of electron pairs in a quantum wire”, TMF, 203:2 (2020), 300–310; Theoret. and Math. Phys., 203:2 (2020), 691–699
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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