Kagome晶格超导相的霍尔热导率
Thermal Hall Conductivity in Superconducting Phase on Kagome Lattice
摘要：
受“$sd^2$ -graphene”研究的启发，采用自洽Bogoliubov-de Gennes方法研究了范霍夫填充附近具有内禀自旋轨道耦合的kagome晶格中超导态的配对对称性和霍尔热导率.在没有自旋轨道耦合的情况下，时间反演对称性被破坏的拓扑平凡态出现，而最高平坦带由于自旋轨道耦合而变得具有六角对称性的色散，这导致拓扑超导态。由于霍尔热导率在低温极限与时间反演对称性破缺超导体的拓扑性质，我们研究了它的温度依赖性附近的范霍夫填充。特别是，在最高的平带的配对对称性是敏感的自旋轨道耦合和吸引相互作用的振幅，这是显着地反映在热霍尔电导率。所得结果可使我们研究可果美晶格上的稳定超导态。
英文摘要：
Motivated by a previous "$sd^2$-graphene" study, the pairing symmetry in the superconducting state and the thermal Hall conductivity are investigated by a self-consistent Bogoliubov--de Gennes approach on the kagome lattice with intrinsic spin-orbit coupling near van Hove fillings. While the topologically trivial state with broken time-reversal symmetry appears in the absence of spin-orbit coupling, the highest flat band becomes dispersive with a hexagonal symmetry due to spin-orbit coupling, which leads to a topological superconducting state. Since the thermal Hall conductivity in the low-temperature limit is associated with the topological property of time-reversal symmetry breaking superconductors, we study its temperature dependence near van Hove fillings. In particular, the pairing symmetry in the highest flat band is sensitive to the amplitudes of spin-orbit coupling and the attractive interaction, which is reflected remarkably in the thermal Hall conductivity. The obtained result may enable us to investigate the stable superconducting state on the kagome lattice.
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