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Nematic superconductivity in Cu,Bi_2Se_3: Surface Andreev bound states

机译：Cu，Bi_2Se_3中的向列超导性：表面安德列夫键态

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摘要

We study theoretically the topological surface states (TSSs) and the possible surface Andreev bound states (SABSs) of Cu_xBi_2Se_3, which is known to be a topological insulator at x = 0. The superconductivity (SC) pairing of this compound is assumed to have broken spin-rotation symmetry, similar to that of the A-phase of ~3He as suggested by recent nuclear-magnetic resonance experiments. For both spheroidal and corrugated cylindrical Fermi surfaces with the hexagonal warping terms, we show that the bulk SC gap is rather anisotropic; the minimum of the gap is negligibly small as compared to the maximum of the gap. This would make the fully gapped pairing effectively nodal. For a clean system, our results indicate the bulk of this compound to be a topological superconductor with the SABSs appearing inside the bulk SC gap. The zero-energy SABSs, which are Majorana fermions, together with the TSSs not gapped by the pairing, produce a zero-energy peak in the surface density of states (SDOS). The SABSs are expected to be stable against short-range nonmagnetic impurities, and the local SDOS is calculated around a nonmagnetic impurity. The relevance of our results to experiments is discussed.
机译：我们从理论上研究Cu_xBi_2Se_3的拓扑表面状态（TSSs）和可能的表面Andreev束缚态（SABSs），该状态在x = 0时是拓扑绝缘体。假定该化合物的超导（SC）配对已破坏自旋旋转对称性，类似于最近的核磁共振实验表明的〜3He的A相。对于具有六边形翘曲项的球面和波纹圆柱费米表面，我们都表明整体的SC间隙是各向异性的。与最大的间隙相比，最小的间隙可以忽略不计。这将使完全空缺的配对有效地成为节点。对于干净的系统，我们的结果表明，该化合物的大部分是拓扑超导体，且SABS出现在整体SC间隙内。零能SABS是马约拉纳费米子，与未通过配对产生的TSS一起在表面态密度（SDOS）中产生零能峰。 SABS有望对短距离非磁性杂质稳定，并且局部SDOS是围绕非磁性杂质计算的。讨论了我们的结果与实验的相关性。

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  • 来源
    《Physical review》 |2017年第14期|144512.1-144512.11|共11页
  • 作者

    Lei Hao; C. S. Ting;

  • 作者单位

    Department of Physics and Texas Center for Superconductivity, University of Houston, Houston, Texas 77204, USA ,Department of Physics, Southeast University, Nanjing 210096, China;

    Department of Physics and Texas Center for Superconductivity, University of Houston, Houston, Texas 77204, USA;

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