掺杂双层BiH中的手征和螺旋$p$波超导电性
Chiral and helical $p$-wave superconductivity in doped bilayer BiH
摘要：
研究了电子掺杂双层BiH在范霍夫奇点附近的关联效应驱动的超导电性。通过泛函重整化群，我们发现在相互作用参数空间中，除了自旋密度波（SDW）靠近vHS或相互作用太强时，三重态$p$ -波配对占主导地位。由于大的原子自旋-轨道耦合（SOC），等自旋电子之间产生$p$波配对，具有手性和二重简并性。手征态支持带隙边缘态，即使SC态中的低能带在拓扑上是微不足道的。镜像对称性的缺失使得Rashba自组织光学系统能够耦合不相等的自旋，但我们发现它的效应是非常高阶的，并且只能驱动手征$p$ -波到SC态深处的螺旋$p$ -波。有趣的是，在螺旋状态中存在六倍简并度，这由螺旋配对函数的自旋分量之间的相对相位角$θ=nπ/3$（对于整数$n$）反映。在涡旋状态下，相位角是稳定的。
英文摘要：
We investigate the superconductivity (SC) driven by correlation effects in electron-doped bilayer BiH near a type-II van Hove singularity (vHS). By functional renormalization group, we find triplet $p$-wave pairing prevails in the interaction parameter space, except for spin density wave (SDW) closer to the vHS or when the interaction is too strong. Because of the large atomic spin-orbital coupling (SOC), the $p$-wave pairing occurs between equal-spin electrons, and is chiral and two-fold degenerate. The chiral state supports in-gap edge states, even though the low energy bands in the SC state are topologically trivial. The absence of mirror symmetry allows Rashba SOC that couples unequal spins, but we find its effect is of very high order, and can only drive the chiral $p$-wave into helical $p$-wave deep in the SC state. Interestingly, there is a six-fold degeneracy in the helical states, reflected by the relative phase angle $θ=nπ/3$ (for integer $n$) between the spin components of the helical pairing function. The phase angle is shown to be stable in the vortex state.
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