论文标题
Ising超导体涡流状态中自旋变性的局部破坏：诱导的反相铁磁序
Local breaking of the spin degeneracy in the vortex states of Ising superconductors: Induced antiphase ferromagnetic order
论文作者
论文摘要
ISIN自旋轨道耦合通常很容易通过平面临界场增强在ISINE超导体中识别，但是我们表明，伊斯丁自旋轨道耦合在涡流物理学中也表现出垂直磁场的涡流物理学。 By self-consistently solving the Bogoliubov-de Gennes equations of a model Hamiltonian built on the honeycomb lattice with the Ising spin-orbital coupling pertinent to the transition metal dichalcogenides, we numerically investigate the local breaking of the spin and sublattice degeneracies in the presence of a perpendicular magnetic field.据揭示，铁磁阶是通过Ising旋转轨道耦合在涡旋核区域内诱导的。诱导的磁性顺序是在两个最近的邻居涡旋内的相反极化的角度，其中两个极化之一主要来自一个sublattice位点，这意味着自旋和sublattice deneracies的局部破裂。局部密度的有限能量峰，用于旋转和旋转间隙状态的局部密度，并被Ising旋转轨道耦合所拆分和相反，并且它们在sublattices $ a $ a $ a $ a $ a $ a $ a和$ b $上的相对变化也是相反的代数符号。计算出的结果和所提出的方案不仅可以用作实验特征，用于识别ISING超导体中的Ising旋转轨道耦合，而且还可以预期通过超导涡流状态的轨道效应在运动中操纵电子旋转。
Ising spin-orbital coupling is usually easy to identify in the Ising superconductors via an in-plane critical field enhancement, but we show that the Ising spin-orbital coupling also manifests in the vortex physics for perpendicular magnetic fields. By self-consistently solving the Bogoliubov-de Gennes equations of a model Hamiltonian built on the honeycomb lattice with the Ising spin-orbital coupling pertinent to the transition metal dichalcogenides, we numerically investigate the local breaking of the spin and sublattice degeneracies in the presence of a perpendicular magnetic field. It is revealed that the ferromagnetic orders are induced inside the vortex core region by the Ising spin-orbital coupling. The induced magnetic orders are antiphase in terms of their opposite polarizations inside the two nearest-neighbor vortices with one of the two polarizations coming dominantly from one sublattice sites, implying the local breaking of the spin and sublattice degeneracies. The finite-energy peaks of the local-density-of-states for spin-up and spin-down in-gap states are split and shifted oppositely by the Ising spin-orbital coupling, and the relative shifts of them on sublattices $A$ and $B$ are also of opposite algebraic sign. The calculated results and the proposed scenario may not only serve as experimental signatures for identifying the Ising spin-orbital coupling in the Ising superconductors, but also be prospective in manipulation of electron spins in motion through the orbital effect in the superconducting vortex states.
