论文标题
沿对称线的钠形式式BCS-Hubbard模型的精确解决方案:铁磁顺序中的非平凡拓扑
Exact Solution to Sodium-Iridate-BCS-Hubbard Model along the Symmetric Line: Non-trivial topology in the ferromagnetic order
论文作者
论文摘要
我们在蜂窝晶状体上研究了honycomb晶状体的钠轨道模型,并具有BCS配对潜力和Hubbard相互作用项。结果表明,该模型可以通过合适的配对间隙幅度进行适当的选择来解决,其中相互作用项被转换为外部字段项。这些精确溶液在圆环和圆柱几何形状上的带状结构进行了很好的细节。发现基态采用抗铁磁构型,它会自发打破时间逆转对称性,并使超导体在拓扑上呈现。另一方面,非平凡的拓扑结合使用铁磁构型,可以以isospin Chern数为特征。
We study the sodium-iridates model on the honeycomb lattice with both BCS pairing potential and Hubbard interaction term. It is shown that this model can be exactly solved with appropriate choices of amplitude of pairing gaps, where the interacting terms are transformed to external field terms. The band structures of these exact solutions on both torus and cylinder geometry are discussed in great details. It is found that the ground state assumes an anti-ferromagnetic configuration, which breaks the time reversal symmetry spontaneously and renders the superconductor topologically trivial. On the other hand, the nontrivial topology is preserved with ferromagnetic configuration and can be characterized by the isospin Chern number.