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Type-I and type-II topological nodal superconductors with s-wave interaction

机译：具有s波相互作用的I型和II型拓扑节点超导体

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摘要

Topological nodal superconductors with protected gapless points in momentum space are generally realized based on unconventional pairings. In this work we propose a minimal model to realize these topological nodal phases with only s-wave interaction. In our model the linear and quadratic spin-orbit couplings along the two orthogonal directions introduce anisotropic effective unconventional pairings in momentum space. This model may support different nodal superconducting phases characterized by either an integer winding number in BDI class or a Z_2 index in D class at the particle-hole invariant axes. In the vicinity of the nodal points the effective Hamiltonian can be described by either type-I or type-II Dirac equations, and the Lifshitz transition from type-I nodal phases to type-II nodal phases can be driven by external in-plane magnetic fields. We show that these nodal phases are robust against weak impurities, which only slightly renormalizes the momentum-independent parameters in the impurity-averaged Hamiltonian, thus these phases are possible to be realized in experiments with real semi-Dirac materials. The smoking-gun evidences to verify these phases based on scanning tunneling spectroscopy method are also briefly discussed.
机译：通常基于非常规配对来实现在动量空间中具有受保护的无间隙点的拓扑节点超导体。在这项工作中，我们提出了一个最小的模型，仅通过s波相互作用即可实现这些拓扑节点相。在我们的模型中，沿着两个正交方向的线性和二次自旋轨道耦合在动量空间中引入了各向异性有效的非常规配对。该模型可以支持不同的节点超导相，其特征在于在粒子孔不变轴处BDI类的整数绕组数或D类的Z_2指数。在节点点附近，有效的哈密顿量可以用I型或II型Dirac方程来描述，从I型节点相到II型节点相的Lifshitz跃迁可以由外部面内磁场驱动领域。我们表明，这些节点相对弱杂质具有较强的鲁棒性，这只能使杂质平均哈密顿量中与动量无关的参数稍微重新归一化，因此这些相有可能在真实的半狄拉克材料实验中实现。还简要讨论了基于扫描隧道光谱法验证这些相的烟枪证据。

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  • 来源
    《Physical review》 |2018年第4期|045142.1-045142.7|共7页
  • 作者

    Beibing Huang; Xiaosen Yang; Ning Xu; Ming Gong;

  • 作者单位

    Department of Physics, Yancheng Institute of Technology, Yancheng, 224051, China;

    Department of Physics, Jiangsu University, Zhenjiang, 212013, China;

    Department of Physics, Yancheng Institute of Technology, Yancheng, 224051, China;

    CAS Key Laboratory of Quantum Information, University of Science and Technology of China, Hefei 230026, People's Republic of China,Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, 230026, People's Republic of China;

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