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Spatial Structure of the Cooper Pair

机译：库珀对的空间结构

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The Cooper pair is generally analyzed in momentum space, but its real-space structure also follows directly from the Bardeen-Cooper-Schrieffer (BCS) theory. It is shown here that this leads to a spherically symmetrical quasi-atomic wavefunction, with an identical "onion-like" layered structure for each of the electrons constituting the Cooper pair, with charge layers ～0.1nm and radius ～100nm for a classic BCS superconductor. This charge modulation induces a corresponding charge modulation in the background ionic lattice, and the attractive interaction between these two opposite charge modulations produces the binding energy of the Cooper pair. This physically based interaction potential is similar to that in the simple BCS approximation. The implications of this real-space picture for understanding conventional and exotic superconductors are discussed.
机译：通常在动量空间中对库珀对进行分析，但其真实空间结构也直接遵循Bardeen-Cooper-Schrieffer（BCS）理论。结果表明，这导致了球对称的准原子波函数，对于构成库珀对的每个电子都具有相同的“洋葱状”层状结构，对于经典的BCS，电荷层为〜0.1nm，半径为〜100nm超导体。该电荷调制在背景离子晶格中引发相应的电荷调制，并且这两个相反的电荷调制之间的吸引相互作用产生了库珀对的结合能。这种基于物理的交互电位类似于简单的BCS近似。讨论了此实际空间图片对于理解常规和奇异超导体的意义。

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