Sunday, 8 December 2019

quantum mechanics - Do spin-polarised Cooper Pairs break the Pauli exclusion Principle?



So far I learned that electrons of a Cooper pair should have opposite spin to account for Pauli's exclusion principle, because their other quantum numbers are the same. Is this understanding correct?


If so, I have been reading the review Linder, J., & Robinson, J. W. A. (2015). Superconducting spintronics, Nature Physics, 11(4), 307–315, also on arXiv:1510.00713. I came across how a magnetic inhomogeneity can transform single Cooper pairs into triplets by spin mixing and then by spin rotation transform the unpolarised ($S_{z} = 0$) spin triplet into spin-polarised spin triplets $\left|\uparrow\uparrow\right\rangle $ or $\left|\downarrow\downarrow\right\rangle $. 1. How can such spin rotation be achieved? Just an alignment of the spin pairs along the local direction of the inhomogenous field? 2. Does this not violate Pauli's exclusion principle?




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