论文标题
拓扑绝缘子中可能的奇数安培元介导的超导性 - 铁磁绝缘子双层
Possible odd-frequency Amperean magnon-mediated superconductivity in topological insulator -- ferromagnetic insulator bilayer
论文作者
论文摘要
我们研究了用倾斜的平均场磁化强度耦合到拓扑绝缘子（Ti）表面上的磁介介导的配对。将磁化倾斜到界面平面会减少磁带间隙，并导致有效Ti分散体的变化。我们得出并解决了在两种不同情况下超导间隙的自矛盾方程，在这种情况下，我们忽略了或包括镁传播器的频率依赖性。忽略频率依赖性会导致P波安培溶液。我们还发现，将磁化倾斜到界面平面上有利于库珀对，与磁化矢量平行的质量矩形中心相比增加了$ t_c $，与平面外情况相比增加了$ T_C $。包括镁传播器的频率依赖性以及求解较少数量的Matsubara频率，我们发现在临界温度下的Amperean溶液的特征向量在频率甚至动量上都是奇数的，因此为奇怪的Amperean配对打开了可能性。
We study the magnon-mediated pairing between fermions on the surface of a topological insulator (TI) coupled to a ferromagnetic insulator with a tilted mean field magnetization. Tilting the magnetization towards the interfacial plane reduces the magnetic band gap and leads to a shift in the effective TI dispersions. We derive and solve the self-consistency equation for the superconducting gap in two different situations, where we neglect or include the frequency dependence of the magnon propagator. Neglecting the frequency dependence results in p-wave Amperean solutions. We also find that tilting the magnetization into the interface plane favors Cooper pairs with center of mass momenta parallel to the magnetization vector, increasing $T_c$ compared to the out-of-plane case. Including the frequency dependence of the magnon propagator, and solving for a low number of Matsubara frequencies, we find that the eigenvectors of the Amperean solutions at the critical temperature are dominantly odd in frequency and even in momentum, thus opening the possibility for odd-frequency Amperean pairing.
