论文标题
北极晶格的涡旋结合状态耦合到补偿金属
Vortex bound state of Kondo lattice coupled to compensated metal
论文作者
论文摘要
我们从理论上研究了涡旋芯上低能性准粒子激发的物理性质，以耦合与补偿金属的全差距超导状态。基于超导状态的平均场描述，我们用数值解决了紧密结合的哈密顿式的Bogoliubov-De Gennes（BDG）方程。孤立的涡流的特征是长度尺度独立于相互作用的大小，核心结合状态的能级与散装间隙相同。这些特性与常规的S波超导体形成鲜明对比。为了获得进一步的见解，我们还将有效的哈密顿量在连续的极限下考虑，并构建了准绿色传导电子功能的理论框架。通过使用Kramer-Pesch近似，我们通过分析得出了描述与数字一致的准粒子激发的光谱函数。据透露，涡旋结合状态的性质与正常和异常自我的特征性奇数依赖性密切相关，这与频率逆成正比。
We theoretically study physical properties of the low-energy quasiparticle excitations at the vortex core in the full-gap superconducting state of the Kondo lattice coupled to compensated metals. Based on the mean-field description of the superconducting state, we numerically solve the Bogoliubov-de Gennes (BdG) equations for the tight-binding Hamiltonian. The isolated vortex is characterized by a length scale independent of the magnitude of the interaction and the energy level of the core bound state is the same order as the bulk gap. These properties are in strong contrast to the conventional s-wave superconductor. To gain further insights, we also consider the effective Hamiltonian in the continuous limit and construct the theoretical framework of the quasiclassical Green's function of conduction electrons. With the use of the Kramer-Pesch approximation, we analytically derive the spectral function describing the quasiparticle excitations which is consistent with the numerics. It has been revealed that the properties of the vortex bound state are closely connected to the characteristic odd frequency dependence of both the normal and anomalous self-energies which is proportional to the inverse of frequency.
