具有Rashba和Dresselhaus（110）自旋轨道耦合的自旋单态超导体的拓扑量子相变
Topological quantum phase transitions in the spin-singlet superconductor with Rashba and Dresselhaus (110) spin-orbit couplings
摘要：
我们研究了具有Rashba和Dresselhaus（110）自旋轨道耦合的自旋单态超导体的拓扑性质。通过对称性分析，证明了Bogoliubov-de Gennes（BdG）哈密顿量中存在几个拓扑不变量.我们使用粒子-空穴对称性的Pfronan不变量$\mathcal{P}$来证明BdG哈密顿量的所有可能的相图。我们发现边缘谱是狄拉克锥或平带，这支持了该系统中马约拉纳费米子的出现。对于Majorana平坦带，需要更高对称性的BdG哈密顿量来使它们拓扑稳定。在确定马约拉纳平坦带的位置时，使用了Pfronan不变量$\mathcal{P}(k_{y})$和缠绕数$\mathcal{W}(k_{y})$。
英文摘要：
We examine the topological properties of a spin-singlet superconductor with Rashba and Dresselhaus (110) spin-orbit couplings. We demonstrate that there are several topological invariants in the Bogoliubov-de Gennes (BdG) Hamiltonian by symmetry analysis. We use the Pfaffian invariant $\mathcal{P}$ for the particle-hole symmetry to demonstrate all the possible phase diagrams of the BdG Hamiltonian. We find that the edge spectrum is either Dirac cone or flat band which supports the emergence of the Majorana fermion in this system. For the Majorana flat bands, a higher symmetric BdG Hamiltonian is needed to make them topologically stable. The Pfaffian invariant $\mathcal{P}(k_{y})$ and the winding number $\mathcal{W}(k_{y})$ are used in determining the location of the Majorana flat bands.
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