Geodesic
Impact of surface defects on a~condensate of electron pairs in a~quantum wire
Teoretičeskaâ i matematičeskaâ fizika, Tome 203 (2020) no. 2, pp. 300-310

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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.
Mots-clés : condensation
Keywords: electron pair, surface defect. 
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     author = {J. Kerner},
     title = {Impact of surface defects on a~condensate of electron pairs in a~quantum wire},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {300--310},
     publisher = {mathdoc},
     volume = {203},
     number = {2},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2020_203_2_a9/}
}
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J. Kerner. Impact of surface defects on a~condensate of electron pairs in a~quantum wire. Teoretičeskaâ i matematičeskaâ fizika, Tome 203 (2020) no. 2, pp. 300-310. http://geodesic.mathdoc.fr/item/TMF_2020_203_2_a9/