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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
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
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
Linking options:
https://www.mathnet.ru/eng/tmf9720https://doi.org/10.4213/tmf9720 https://www.mathnet.ru/eng/tmf/v203/i2/p300
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Abstract page: | 227 | Full-text PDF : | 26 | References: | 61 | First page: | 6 |
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