论文标题
Yu-Shiba-Rusinov晶格模型中电子电子相互作用的影响
Effects of electron-electron interactions in the Yu-Shiba-Rusinov lattice model
论文作者
论文摘要
在二维超导体中，由磁性杂质引起的Yu-Shiba-Rusinov绑定状态在长距离上延伸，从而产生了远距离跳跃模型，这些模型支持了许多具有不同Chern数字的拓扑阶段。在这里，我们研究了电子 - 电子相互作用如何在平均场水平上影响实现的Chern数字的选择以及该模型中拓扑能差的幅度。我们发现，在单独选择模型参数的情况下，相互作用可以增强或减少拓扑间隙，并导致拓扑相变，因为超导性，磁性和大的Yu-Shiba-Rusinov状态的较大空间范围的复杂相互作用。通过对具有不同模型参数的Yu-Shiba-Rusinov晶格模型进行大量实现，我们表明，从统计上讲，相互作用对实现的Chern数字和拓扑间隙的典型幅度没有影响。但是，与非相互作用的情况相比，相互作用显着增加了能量差距分布尾部最大拓扑间隙的可能性。
In two-dimensional superconductors, Yu-Shiba-Rusinov bound states, induced by the magnetic impurities, extend over long distances giving rise to a long-range hopping model supporting a large number of topological phases with distinct Chern numbers. Here, we study how the electron-electron interactions affect on a mean-field level the selection of the realized Chern numbers and the magnitudes of the topological energy gaps in this model. We find that in the case of an individual choice of the model parameters the interactions can enhance or reduce the topological gap as well as cause topological phase transitions because of the complex interplay of superconductivity, magnetism, and large spatial extent of the Yu-Shiba-Rusinov states. By sampling a large number of realizations of Yu-Shiba-Rusinov lattice models with different model parameters, we show that statistically the interactions have no effect on the realized Chern numbers and typical magnitudes of the topological gaps. However, the interactions substantially increase the likelihood of the largest topological gaps in the tails of the energy gap distribution in comparison to the non-interacting case.
