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首页> 外文期刊>Physical review >Time-reversal-invariant topological superconductivity in doped Weyl semimetals
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Time-reversal-invariant topological superconductivity in doped Weyl semimetals

机译：掺杂的Weyl半金属中的时变不变拓扑超导

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摘要

Time-reversal-invariant topological superconductors are a new state of matter which have a bulk superconducting gap and robust Majorana fermion surface states. These have not yet been realized in solid state systems. In this paper, we propose that this state can be realized in doped Weyl semimetals or Weyl metals. The Fermi surfaces of a Weyl metal carry Chern numbers, which is a required ingredient for such a topological superconductor. By applying the fluctuation-exchange approach to a generic model of time-reversal-invariant Dirac and Weyl semimetals, we investigate what microscopic interactions can supply the other ingredient, viz., a sign change of the superconducting gap function: between Fermi surfaces with opposite Chern numbers. We find that if the normal state is inversion symmetric, on-site repulsive and exchange interactions induce various nodal phases as well as a small region of topological superconductivity on the phase diagram. Unlike: in the ~3He-B topological superconductor, the phase here does not rely on any special momentum dependence of the pairing amplitude. Breaking inversion symmetry precludes some of the nodal phases and the topological superconductor becomes much more prominent, especially at large ferromagnetic interaction. Our approach can be extended to generic Dirac or Weyl metals.
机译：时变不变拓扑超导体是一种新的物质态，具有超导体的大间隙和鲁棒的马里亚纳费米子表面态。这些尚未在固态系统中实现。在本文中，我们建议可以在掺杂的Weyl半金属或Weyl金属中实现这种状态。 Weyl金属的费米表面带有Chern数，这是此类拓扑超导体所必需的成分。通过将涨落交换方法应用于时间不变不变的狄拉克和韦尔半金属的通用模型，我们研究了哪些微观相互作用可以提供其他成分，即超导间隙函数的符号变化：费米表面之间相反陈氏数字。我们发现，如果正常状态是反对称的，则在相图上，现场的排斥和交换相互作用会诱发各种节点相以及一小部分拓扑超导。与〜3He-B拓扑超导体不同，此处的相位不依赖于配对振幅的任何特殊动量依赖性。破坏反演对称性排除了某些节点相，并且拓扑超导体变得更加突出，特别是在大铁磁相互作用的情况下。我们的方法可以扩展到普通Dirac或Weyl金属。

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