由泡利阻塞驱动的“虫蛀效应”,揭示了库珀对
"Moth-eaten effect" driven by Pauli blocking, revealed for Cooper pairs
摘要:
我们将著名的库珀问题扩展到一对之外,并研究了这个稀释极限是如何与多对BCS凝聚相联系的。我们发现,所有从稀释到密集的制度对,泡利阻塞诱导相同的“虫蛀效应”的复合玻色子激子的存在。这种效应使平均对结合能随对数目线性下降,使其在标准BCS构型中为单对值的一半。这证明,与一般的理解不同,BCS能隙远大于破偶能量。这种增加来自于泡利在断裂对和未断裂对之间的阻塞。我们的结果和BEC-BCS交叉之间的可能联系进行了讨论。
英文摘要:
We extend the well-known Cooper's problem beyond one pair and study how this dilute limit is connected to the many-pair BCS condensate. We find that, all over from the dilute to the dense regime of pairs, Pauli blocking induces the same "moth-eaten effect" as the one existing for composite boson excitons. This effect makes the average pair binding energy decrease linearly with pair number, bringing it, in the standard BCS configuration, to half the single-pair value. This proves that, at odds with popular understanding, the BCS gap is far larger than the broken pair energy. The increase comes from Pauli blocking between broken and unbroken pairs. Possible link between our result and the BEC-BCS crossover is also discussed.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。