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Symmetry-protected topological invariant and Majorana impurity states in time-reversal-invariant superconductors

机译:时反不变超导体中的对称保护拓扑不变态和马约拉纳杂质态

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摘要

We address the question of whether individual nonmagnetic impurities can induce zero-energy states in time-reversal-invariant topological superconductors, and define a class of symmetries which guarantee the existence of such states for a specific value of the impurity strength. These symmetries allow the definition of a position-space topological Z_2 invariant, which is related to the standard bulk topological Z_2 invariant. Our general results are applied to the time-reversal-invariant p-wave phase of the doped Kitaev-Heisenberg model, where we demonstrate how a lattice of impurities can drive a topologically trivial system into the nontrivial phase.
机译:我们解决了单个非磁性杂质是否可以在时反不变拓扑超导体中诱发零能态的问题,并定义了一类对称性,以保证对于杂质强度的特定值而言,此类状态的存在。这些对称性允许定义与标准体拓扑Z_2不变有关的位置空间拓扑Z_2不变。我们的一般结果应用于掺杂的Kitaev-Heisenberg模型的时间反转不变p波相位,在此我们证明了杂质晶格如何将拓扑琐碎的系统驱动到非琐碎相。

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