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arXiv 1912.04447cond-mat.supr-con
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通过铁磁双层膜的约瑟夫森电流:超越准经典近似

Josephson current through a ferromagnetic bilayer: Beyond the quasiclassical approximation

Hao Meng, Yajie Ren, Javier E. Villegas, A. I. Buzdin

摘要:

基于Bogoliubov-de Gennes方程,给出了双层铁磁复合膜约瑟夫森结临界电流的精确数值解。我们证明,对于双层的磁矩的反平行取向,在双层界面处的势垒的存在下,作为铁磁体厚度和/或交换场的函数的临界电流的大振荡的结果。因此,在较小的交换场和厚度范围内,磁性导致临界电流的增加。这种效应在低温下非常明显,但在$T_c$附近消失。如果在双层界面处的势垒被自旋激活势垒代替,则观察到常规的0- $π$转变,类似于均匀铁磁约瑟夫森结的情况。引人注目的是,对于双层的磁矩的平行取向,自旋激活势垒的存在恢复了反平行情况下的反常行为-势垒。这些行为是由于库珀对穿过复合势垒的共振隧穿效应-在铁磁体的交换场存在的情况下,与自旋相关的费米矢量有关的效应。

英文摘要:

Based on the Bogoliubov-de Gennes equations, we provide an exact numerical solution for the critical current of Josephson junctions with a composite ferromagnetic bilayer. We demonstrate that for the antiparallel orientation of the magnetic moments of the bilayer, the presence of a potential barrier at the bilayer interface results in large oscillations of the critical current as a function of ferromagnet thickness and/or exchange field. Because of this, and remarkably, in the range of small exchange field and thicknesses, the magnetism leads to the increase of the critical current. This effect is well pronounced at low temperature but disappears near $T_c$. If the potential barrier is replaced by a spin-active barrier at the bilayer interface the conventional 0-$π$ transition, similar to the case of an uniform ferromagnetic Josephson junction, is observed. Strikingly, for a parallel orientation of the magnetic moments of the bilayer, the presence of the spin-active barrier restores the anomalous behavior---potential barrier in the antiparallel case. These behaviors result from the resonant tunneling of Cooper pairs across the composite barrier---an effect related to the spin-dependent Fermi vector in the presence of the ferromagnets' exchange field.

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