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.

中文翻译：

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表面缺陷对量子线中电子对凝聚的影响

我们研究表面缺陷对量子线中电子对凝聚的影响。基于先前的结果，我们制定了一个简单的数学模型来解释这种表面效应。对于非相互作用对的系统，我们证明了大量凝聚物的破坏。最后，考虑到对之间的排斥相互作用，我们表明，如果表面缺陷的数量不太大，则冷凝物的对密度大于临界密度。