论文标题
部分可观测时空混沌系统的无模型预测
Superconductivity in monolayer and few-layer graphene: III Impurity-induced subgap states and quasi-particle interference patterns
论文作者
论文摘要
我们考虑了最有利的对称性允许的自旋平线和单层和少层石墨烯中的旋转三个超导配对对称性，并且每个石墨烯都在存在标量或磁性杂质的情况下计算能量谱。我们发现，除了旋转singlet $ s $ - 波状态外，所有类型的配对的标量杂质存在两个双重变性子段状态。对于磁性杂质，可能会根据顺序参数对称性形成两个或四个子段状态。我们发现，这些状态的自旋极化允许一个人区分自旋单元和三重态配对，例如，只有自旋三个状态显示具有相同旋转的相对能量子段状态。我们还计算了与子段状态相关的准粒子干扰模式，并发现它们表现出可以区分不同类型的配对对称性的特征，尤其是鼻状态旋转对称性的破坏，对于旋转singlet $ d_ {xy} $ and $ d_ {x^2-y^2-y^2-y^2} $ and y Stant $ and $ p__ $ p__ $ p p y and $ d_ $ d_^$ d_ $ d_
We consider the most energetically favorable symmetry-allowed spin-singlet and spin-triplet superconducting pairing symmetries in monolayer and few-layer graphene, and for each calculate the energy spectrum in the presence of a scalar or magnetic impurity. We find that two doubly degenerate subgap states exist for scalar impurities for all types of pairing, except for the spin-singlet $s$-wave state. For magnetic impurities, two or four subgap states may form depending on the order parameter symmetry. We find that the spin polarization of these states allows one to distinguish between spin-singlet and triplet pairing, for example, only the spin-triplet states show opposite-energy subgap states with the same spin. We also calculate the quasi-particle interference patterns associated with the subgap states and find that they exhibit features that could distinguish between different types of pairing symmetries, especially a breaking of rotational symmetry for nodal states, stronger for the spin-singlet $d_{xy}$ and $d_{x^2-y^2}$ than for the spin-triplet $p_x$ and $p_y$ states.
